In This Chapter

► Seeing the big picture first

► Aligning Six Sigma with your needs

► Defining projects

► Realizing the benefits

The essence of Six Sigma is to solve problems that are impacting business or personal performance. But before you can solve a problem or improve performance, you have to properly define your goal or objective — that is, you have to define the focus of your Six Sigma project. In fact, defining a project is 50 percent of the improvement game, and finding the right problems is critical to the success of your organization.

The Define stage of the breakthrough strategy (DMAIC) assumes you’ve identified a certain number of problems to be solved, and these problems are then

Converted into Six Sigma projects. A key challenge for all Six Sigma practitioners and management alike is to find these problems in a strategic way that assures maximum benefit from the application of the Six Sigma methodology.

Defining projects is about recognizing problematic areas of the business and

Subsequently creating a clear direction for resolving these problematic areas. It’s akin to the question, "How do you eat an elephant?" The answer? One bite at a time. Problematic areas of the business (like warranty returns, accounts receivable, product yield, and customer satisfaction issues) are the elephant-sized issues of the business. More likely than not, each of these problematic

Areas requires that you engage in more than one Six Sigma project, thereby eating the elephant one bite at a time.

The Sir Sigma Project

Six Sigma progress is obtained the old fashioned way — one project at a time. And progress is not necessarily serial, but often in parallel, as many Black Belts, Green Belts, and Yellow Belts apply the breakthrough strategy throughout an organization (see Chapter 3 for more on Belts). In essence, projects are the unit of measurement, the physical entity, by which most Six Sigma progress is accomplished. Projects represent — and in fact are — the level of granularity needed to manage a single process improvement or a large-scale

Business improvement effort.

The basics of a project

A Six Sigma project starts out as a practical problem that is adversely impacting the business, and ultimately ends up as a practical solution that improves

Business performance. Projects state performance problems in quantifiable terms that define expectations related to desired levels of performance and

Timing, as described in Figure 4-1. A project:

Has a financial impact to EBIT (Earnings Before Income Tax) or NPBIT (Net Profit Before Income Tax) or a significant strategic value

F Produces results that significantly exceed the amount of effort required

To obtain the improvement

F Solves a problem that is not easily or quickly solvable using traditional

Methods

V Improves performance by greater than 70 percent over existing performance levels

The focus of a project is to solve a business problem that is hurting key business performance elements, such as:

The success of the organization

IS

Costs

IS

Employee or customer satisfaction

IS

Process capability

Output capacity

IS

Cycle time

IS

Revenue potential

Practical Problem

Z

Six Sigma Project

Z

Statistical

Problem

Generally a systemic or chronic problem that is impacting the success of a process or function.

A well defined effort that states the problem in quantifiable terms with known expectations.

Data-oriented problem that is addressed with facts and data

Analysis methods.

Statistical

Solution

Data-driven solution with known confidence/risk levels versus an "I think – solution.

Figure 4-1:

Project

Life cycle.

Control

Plan

Z

Practical Solution

Results

A method of assuring the long-term sustainability of the fix to the problem.

The solution is not complex, expensive, or irrational and is

Readily implement-able.

Tangible results measurable in metrics with quantifiable financial or strategic value.

The problem transformation

When a particular problem is selected to become a potential Six Sigma project, it goes through a critical metamorphosis — first from a practical business problem into a statistical problem, then into a statistical solution, and, finally, into a practical solution. When you state your problem in statistical language, you ensure that you will use data, and only data, to solve it. This forces you to abandon gut feelings, intuition, and best guesses as ways to address your

Problems.

Almost any problem is solvable if you throw enough time and money at it. But this does not qualify as a practical solution, and it’s not the goal of a Six Sigma project. A practical solution is one that is not complex, not difficult to implement, and does not require extensive resources to affect the improvement.

Project responsibilities

There is a management framework and set of responsibilities inherent in the Six Sigma methodology that entails finding problems, defining projects, determining solutions, and implementing improvements. A Six Sigma project goes through an ownership transfer as demonstrated in Figure 4-2.

Project Responsiblities

Figure 4-2:

Project responsibility and ownership.

Define

Measure

Z

Analyze

Improve

Control

Management

"Belt"

"Belt"

"Belt"

Process Owner

Ten Pitfalls to Avoid

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In This Chapter

^ Dispelling common Six Sigma myths ^ Knowing what to watch for ^ Avoiding common mistakes

Tions t

Avigating through Six Sigma can be treacherous. There are storms and hidden reefs. This chapter gives you ten common mistakes and perceptions that can hinder your success.

Not Atto©ing Enough Time

An organization breaking through to a new level of performance requires an engine of project activity. That’s why a small portion of an organization — the Black Belts — are asked to dedicate all their time and efforts toward completing Six Sigma projects. They set aside their usual job duties and concentrate

Full time on completing assigned project(s).

A common mistake is to assume that an organization can get the same magnitude and speed of change by having Black Belts work on projects on the side,

As a part-time assignment, between the tasks and duties of their regular work.

This approach simply doesn’t generate the force necessary to sustain organizational change. Project completion drags out and resulting savings languish. Ultimately, momentum and interest wane.

Who’s the Leader?

Some organizations have tried to deploy Six Sigma without a designated, empowered deployment leader. They train Belts, they assign projects, they infuse tools, they track results. They believe breakthrough change will occur

By the sum of the individual, independent efforts. But a Six Sigma deployment without a leader is like a ship without a captain — individual crew members may know what to do in their own areas, but there is no direction or overall progress.

Taking Too Big a Bite

Almost invariably, the failure of any Six Sigma project can be traced to a scope

That was too broad. Trying to minimize variation in an entire product, for

Example, is so defocused that little improvement can happen on any part of the product. Concentrating on minimizing the variation in a single critical

Characteristic of a product, however, allows you to dig deep enough to discover the real source of improvement.

Always err on the side of scoping your projects too small.

Focusing On lsotated Areas

A mistake companies can make with Six Sigma is to implement it in isolated pockets, rather than as a uniform and pervasive campaign. Sometimes, an organization will allow a couple of Black Belts or Green Belts to be trained

And to work a few projects. The problem with this approach is that the Belts

Don’t get the needed support from management, and they run into political

And organizational roadblocks that impede their success.

Organizations are living, connected organisms. When you make an improvement in one area or in one process, you have to make other improvements in other areas to receive the full benefits. What sense does it make, for example,

To improve the design of a product but not improve your ability to manufacture that product?

"But We’re Different"

It’s natural to consider yourself or your organization to be unique — so unique that you may even think that what’s worked for others couldn’t possibly work for you. This is one of the most common myths people have about Six Sigma.

Six Sigma is a general methodology. It has proven itself in every arena where it’s been applied — manufacturing, operations, logistics, design, supply chains,

Services, transactions, processing, legal, human resources, software, sales, marketing, management, healthcare, the public sector, defense contracting —

The list literally goes on and on! Don’t fall into the trap of thinking you’re the

Lone exception to the rule.

Overtraining

Not every officer of the peace needs to be trained as an elite Special Forces commando. Likewise, not everyone doing Six Sigma needs to know the details of every advanced statistical tool and method.

The amount of information in Six Sigma courses has ratcheted up, as consultants and trainers have competed against each other in their marketing efforts. But the use of the tools tells the real story. Only a handful of the taught Six Sigma tools are used regularly. The majority are brought out only occasionally for rare Sunday drives.

Don’t get fooled into thinking that more and more knowledge is always better.

And don’t think you have to use every tool on every project. Expediency in

Learning and in application is the key! The best system gets the right knowledge to the right person at the right time.

Btindty Bettering \lour Measurement System

Data and measurements are the foundation of Six Sigma. All too often, however, Six Sigma practitioners neglect to check the validity of their measurements. Unknowingly relying on a faulty measurement system is like building a house with a crooked ruler — you won’t get what you thought you were going to

Get, and you won’t know why.

Always take the time to perform a measurement systems analysis at the

Beginning of your project. Taking this step saves you from many potential

Headaches.

"RemindMe Again, Is It CLs or SLs>"

Control limits (CLs) are a critical part of every control chart. They capture and represent the true voice of the process. The problem is that they are often confused with specification limits — which represent only the voice of the customer. It’s critically important to know when to use which limit in which situation — control limits for the voice of the process and specification limits for the voice of the customer. See Chapter 10 for details.

Exaggerated Opportunity Counts

The definition of Six Sigma performance is no more than 3.4 defects per million opportunities for defects — counting every single opportunity for defects in a given system. But one way to achieve a high capability is to offset the discovered number of defects with a falsely inflated assessment of the number of opportunities. Some practitioners erroneously inflate the number of opportunities in a system to make their performance look better than it really is. What you want is performance that looks and Is Great.

Leveraging Technology

Technology and software are inseparable from Six Sigma. Yet many people try to segment technology into its own, isolated corner. Others dismiss its contribution outright, because they don’t understand how to leverage its potential.

The right technology can help any person in Six Sigma do his or her work better and faster — and that’s a goal everyone desires.

Chapter 15

Afterword

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Fj Ou hold in your hands The Six Sigma book for everyone! Perhaps you’re a

Business owner, a manager, or even an executive. Or you may be an engineer or administrator. Maybe you’re an employee in a Six Sigma company, or you’re considering employment with one. Perhaps you’re a student, and you

Want to improve your employment opportunities. Or maybe you’re pondering

A Six Sigma deployment in your company. Whether compelled or just curious,

There is something in this book for everyone, just as there is something in Six Sigma for everyone.

Six Sigma is now found across the world and throughout all of business. It’s

Not just for manufacturing anymore; in service and transactional businesses,

Not-for-profits, religious organizations, and governments, Six Sigma has improved thousands of organizations. Six Sigma is everywhere.

As the leader of the Six Sigma industry’s professional society, I’ve seen businesses of all sizes and types use Six Sigma as a means to effect robust change and create extraordinary value. I’ve also seen professionals apply these tools

To change their thinking, fuel significant contributions to their organizations, and gain personal opportunities beyond their dreams.

Written with a hands-on focus, Six Sigma For Dummies Is a unique book in the world of Six Sigma. Unlike the story-telling, parable books or the advanced

Statistics tomes, in this book, you find clear explanations as well as practical insights. The authors still give you the statistical understanding, but with a unique emphasis on the how and the why.

Two dramatic things happen to people who read this book. First, they see their world very differently. They see cause-and-effect connections; recognize

Inputs, process flow, and outputs; and understand variation. Second, with this

Newfound understanding and great problem-solving knowledge, readers make improvements in their personal lives and work environments. This change

Inmindset alone eliminates countless frustrating problems and adds value worth thousands or even millions of dollars.

The power to make change for the better is now available to everyone. With the stakes higher than ever, Six Sigma For Dummies Gives you the tools to

Improve and to prosper. Roxanne O’Brasky

President, International Society of Six Sigma Professionals

Glossary

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Affinity diagram: An organization of individual pieces of information into groups or broader categories.

ANOVA (analysis of variance): A statistical test for identifying significant differences between process or system treatments or conditions, performed by comparing the variances around the means of the conditions being compared.

Attribute data: Data that has a set of discrete values such as pass or fail, yes or no.

Average: Also called the mean, it is the arithmetic average of all of the sample values. It is calculated by adding all of the sample values together and dividing by the number of elements (n) In the sample.

Bar chart: A graphical method depicting data grouped by category.

Black Belt: An individual who receives approximately four weeks of training in the Six Sigma DMAIC methodology, analytical problem solving, and change management methods. A Black Belt is a full time Six Sigma team leader solving problems under the direction of a Six Sigma Champion.

Breakthrough improvement: A rate of improvement at or near 70 percent

Over baseline performance of the as-is process characteristic.

Capability: A comparison of the required operation width of a process or system to its actual performance width. Expressed as a percentage (yield), a defect rate (DPM, DPMO), An index (Cp, Cpk, Pp, Ppk), Or as a sigma score (Z).

Cause-and-effect diagram: See Fishbone diagram.

Central tendency: A measure of the point about which a group of values is clustered; two measures of central tendency are the mean and the median.

Champion: A Six Sigma leader, who recognizes, defines, assigns, and supports the successful completion of Six Sigma projects; a Six Sigma Champion

Is accountable for the results of projects and the business roadmap to achieve

Six Sigma results within their span of control.

Characteristic: A process input or output that can be measured and monitored.

Common causes of variation: Those sources of variability in a process that are truly random; that is, inherent in the process itself.

Complexity: The level of difficulty to build, solve, or understand something based on the number of inputs, interactions, and uncertainties involved.

Control chart: The most powerful tool of statistical process control. It consists of a run chart, statistically determined upper and lower control limits, and a centerline.

Control limits: Upper and lower bounds in a control chart that are determined by the process itself. They can be used to detect special or common

Causes of variation. They are usually set at ±3 standard deviations from the

Central tendency.

Correlation coefficient: A measure of the linear relationship between two

Variables.

Cost of poor quality (COPQ): The costs associated with any activity that is not done right the first time. It is the financial qualification of any waste that is not integral to the product or service that your company provides.

CP: A capability measure defined as the ratio of the specification width to

Short-term process performance width.

CPk: An adjusted short-term capability index that reduces the capability score in proportion to the offset of the process center from the specification target.

Critical-to-quality (CTQ): Any characteristic that is critical to the perceived quality of the product, process, or system. See also Significant Y.

Critical X: An input to a process or system that exerts a significant influence on any one or all of the key outputs of a process.

Customer: Anyone who uses or consumes the output of a process, whether internal or external to the providing organization or provider.

Cycle time: The total amount of elapsed time from the time a task, product, or service is started until it is completed.

Defect: An output of a process that fails to meet a defined specification or

Requirement, such as time, length, color, finish, quantity, temperature, and

Soon.

Defective: A unit of product or service that contains At least one defect.

Deployment: The planning, launch, training, implementation, and management of a Six Sigma initiative within a company.

Design for Six Sigma (DFSS): The use of Six Sigma thinking, tools, and methods applied to the design of products and services to improve initial release performance, ongoing reliability, and life-cycle cost.

Design of Experiments (DOE): An efficient, structured, and proven approach to

Investigating a process or system to understand and optimize its performance.

DMAIC: The acronym for the five core phases of the Six Sigma methodology:

Define, Measure, Analyze, Improve, and Control; used to solve process and business problems through data and analytical methods.

DPMO (defects per million opportunities): The total number of defects observed divided by the total number of opportunities, expressed in events per million. Sometimes called Defects per Million (DPM)

DPU (defects per unit): The total number of defects detected in some number of units divided by the total number of those units.

Entitlement: The best demonstrated performance for an existing configuration of a process or system. It is an empirical demonstration of the level of improvement that can potentially be reached.

Epsilon (f): Greek symbol used to represent uncertainty or residual error.

Experimental design: See Design of Experiments (DOE).

Failure mode effects analysis (FMEA): A procedure used to identify, assess, and mitigate risks associated with potential failure modes in a product, system, or process.

Finance representative: An individual who provides an independent evaluation of a Six Sigma project in terms of hard and/or soft savings. They are a

Project support resource to both Champions and project leaders.

Fishbone diagram: A pictorial diagram in the shape of a fishbone showing all

Possible variables that could affect a given process output measure.

Flowchart: A graphic model of the flow of activities, material, and/or information that occurs during a process.

Gauge R&R: The quantitative assessment of how much variation (repeatability

And reproducibility) is in a measurement system compared to the total variation of the process or system.

Green Belt: An individual who receives approximately two weeks of training in the Six Sigma DMAIC methodology, analytical problem solving, and change management methods. A Green Belt is a part time Six Sigma practitioner who applies Six Sigma techniques to their local area, performing smaller-scoped

Projects and providing support to Black Belt projects.

Hidden factory or operation: Corrective and non-value-added work applied

To produce a unit of output generally not properly recognized as unnecessary

And a form of waste of time, resources, materials, and cost.

Histogram: A bar chart that depicts the frequency of occurrence (by the

Height of the plotted bars) of numerical or measurement categories of data.

Implementation team: A cross-functional executive or management team representing multidisciplinary areas of the company, whose charter is to drive the implementation of Six Sigma by defining, documenting, and leading

Practices, methods, and operating policies.

Input: A resource consumed, utilized, or added to a process or system. Synonymous with the terms X, Characteristic, and input variable.

Lshikawa diagram: See Fishbone diagram.

Least squares: A method of curve-fitting that defines the best fit as the one that minimizes the sum of the squared deviations of the data points from the

Fitted curve.

Long-term variation: The observed variation of an input or output characteristic that has had the opportunity to experience the majority of the variation

Effects that influence it.

Lower control limit (LCL): For control charts: the limit above which the subgroup statistics must remain for the process to be in control; typically three standard deviations below the central tendency.

Lower specification limit (LSL): The lowest value of a characteristic that is

Acceptable.

Master Black Belt (MBB): An individual who has received additional training

Beyond Black Belt. The MBB is a technical, go-to expert for technical and project issues in Six Sigma. Master Black Belts are qualified to teach and mentor other Six Sigma Belts and support Champions.

Mean: See Average.

Measurement: The act of obtaining knowledge about an event or characteristic through measured quantification or assignment to categories.

Measurement accuracy: For a repeated measurement, it is a comparison of the average of the measurements compared to some known standard.

Measurement precision: For a repeated measurement, it is the amount of

Variation that exists in the measured values.

Measurement Systems Analysis (MSA): The assessment of the accuracy and precision of a method for obtaining measurements. See also Gauge R&R.

Median: The middle value of a data set when the values are arranged in either ascending or descending order.

Metric: A measure that is considered to be a key indicator of performance. It should be linked to goals or objectives and carefully monitored.

Natural tolerances of a process: See Control limits.

Nominal group technique: A structured method used by a team to generate and rank a list of ideas or items.

Non-value-added (NVA): Any activity performed in producing a product or

Delivering a service that does not add value, where value is defined as changing the form, fit, or function of the product or service and is something for which the customer is willing to pay.

Normal distribution: The distribution characterized by the smooth, bell -

Shaped curve; synonymous with Gaussian distribution.

Objective statement: A succinct statement of the goals, timing, and expectations of a Six Sigma improvement project.

Opportunities: The number of characteristics, parameters, or features of a product or service that can be classified as acceptable or unacceptable.

Out of control: A process is out of control if it exhibits variations larger than its control limits or shows a pattern of variation.

Output: A resource, item, or characteristic that is the product of a process or system. See alsoY And CTQ.

Pareto chart: A bar chart for attribute (or categorical) data where the categories are presented in descending order of frequency.

Pareto Principle: The general principle originally proposed by Vilfredo Pareto (1848-1923) that the majority of influence on an outcome is exerted by a minority of input factors.

Poka-Yoke: A transliteration of a Japanese term meaning "to mistake-proof."

Probability: The likelihood of an event or circumstance occurring. Problem statement: A succinct statement of a business situation used to

Bound and describe the problem that a Six Sigma project is destined to solve.

Process: A set of activities, material, and/or information flow that transformsa set of inputs into outputs for the purpose of producing a product, providing a

Service, or performing a task.

Process certification: The act of establishing documented evidence that a

Process will consistently produce its required outcome or meet its required

Specifications.

Process characterization: The act of quantitatively understanding a process,

Including the specific relationship(s) between its outputs and the inputs, and its performance and capability.

Process flow diagram: See Flowchart.

Process member: An individual who performs activities within a process to

Deliver an output, product, or service to a customer.

Process owner: The individual who has responsibility for process performance

And resources, and who provides support, resources, and functional expertise

To Six Sigma projects. The process owner is accountable for implementing Six Sigma solutions in processes.

Quality function deployment (QFD): A systematic process for integrating customer requirements into every aspect of the design and delivery of products and services.

Range: A measure of the variability in a data set; the difference between the

Largest and smallest values in a data set.

Regression analysis: A statistical technique for determining the mathematical relation between a measured quantity and the variables upon which it

Depends; includes simple and multiple linear regression.

Repeatability: The extent to which repeated measurements of a particular object with a particular instrument produce the same value. See also Gauge

R&R.

Reproducibility: The extent to which repeated measurements of a particular object with a particular individual produce the same value. See also Gauge R&R.

Rework: Activities required to correct defects produced by a process.

Risk priority number (RPN): In failure mode effects analysis, the aggregate score of a failure mode including its severity, frequency of occurrence, and ability to be detected.

Rolled throughput yield (RTY): The probability of a unit going through all

Process steps or system characteristics with zero defects.

RUMBA: An acronym for Reasonable, Understandable, Measurable, Believable,

And Achievable, used to describe a method for determining the validity of customer requirements.

Run chart: A graphical tool for charting the performance of a characteristic

Over time.

Scatter plot: A chart in which one variable is plotted against another to

Observe or determine the relationship, if any, between the two.

Screening experiment: A type of experiment used to identify the subset of

Significant factors from among a large group of potential factors.

Short-term variation: The amount of variation observed in a characteristic

That has not had the opportunity to experience all the sources of variation from the inputs acting on it.

Sigma score: A commonly used measure of process capability that represents the number of short-term standard deviations between the center of a process and the closest specification limit. Sometimes referred to as sigma level, or simply Sigma. Also called the Z Score.

Significant Y: The output of a process that exerts a significant influence on

The success of the process or customer satisfaction.

SIPOC (Suppliers-Inputs-Process-Outputs-Customers): A visual representation of a process or system where inputs are represented by input arrows to a box

(representing the process or system) and outputs are shown using arrows emanating out of the box.

Six Sigma: A proven and proscriptive set of analytical tools, project con -

Troltechniques, reporting methods, and management techniques that combine to form breakthrough improvements in problem solving and business performance.

Six Sigma leader: An individual who leads the implementation of Six Sigma, coordinating all of the necessary activities, and who assures optimal results are obtained and keeps everyone informed of progress.

Six Sigma project: A specifically-defined effort that states a business problem

In quantifiable terms and with known improvement expectations. Special cause variation: Those non-random causes of variation that can be

Detected by the use of control charts and good process documentation.

Specification limits: The bounds of acceptable performance for a characteristic.

Stability: A process with no recognizable pattern of change and no special

Causes of variation.

Standard deviation: One of the most common measures of variability in a data set or in a population; the square root of the variance.

Statistical problem: A problem that is addressed with facts and data

Analysis methods.

Statistical process control (SPC): The use of basic graphical and statistical methods for measuring, analyzing, and controlling the variation of a process

For the purpose of continuously improving the process. A process is said to be in a state of statistical control when it exhibits only random variation.

Statistical solution: A data-driven solution with known confidence/risk levels; as opposed to a qualitative, or "I think," solution.

Supplier: An individual or entity that provides an input to a process in the

Form of resources or information.

Trend: A gradual, systematic change over time (or some other variable). TSSW (thinking the Six Sigma way): A mental model for improvement that

Perceives outcomes through a cause-and-effect relationship combined with

Six Sigma concepts to solve everyday and business problems.

Two-level design: An experiment where all factors are set at one of two levels, denoted as low and high (-1 and +1).

Upper control limit (UCL): The upper limit below which a process statistic

Must remain to be in control. Typically, this value is 3 standard deviations above the central tendency.

Upper specification limit (USL): The highest value of a characteristic that is

Acceptable.

Variability: The property of a characteristic, process, or system to take on

Different values when it is repeated.

Variable data: Data where values are continuous, and can be meaningfully measured and subdivided; that is, can have decimal subdivisions.

Variables: Quantities that are subject to change or variability.

Variance: A specifically defined mathematical measure of variability in a data

Set or population. It is the square of the standard deviation. Variation: See Variability.

VOB (voice of the business): The representation of the needs of the business and the key stakeholders of the business; usually including profitability, revenue, growth, market share, employee satisfaction, and so on.

VOC (voice of the customer): The representation of the expressed and non -

Expressed needs, wants, and desires of the recipient of a process output, a

Product, or a service; usually expressed as specifications, requirements, or

Expectations.

VOP (voice of the process): The performance and capability of a process to achieve both business and customer needs; usually expressed in some form of an efficiency and/or effectiveness metric.

Waste: Material, effort, and time that does not add value in the eyes of key stakeholders (customers, employees, investors).

X: An input characteristic to a process or system. In Six Sigma, it is usually used in the expression of Y = F(X), Where the output (Y) is a function of the inputs (X).

Y: An output characteristic of a process. In Six Sigma, it is usually used in the expression of Y= F(X), Where the output (Y) is a function of the inputs (X).

Yellow Belt: An individual who receives approximately one week of training in Six Sigma problem solving and process optimization methods. Yellow Belts

Participate in Process Management activities, participate in Green and Black

Belt projects and apply concepts to their work area and their job. Z Score: See Sigma score.

In This Chapter

Looking at the advantages of planned experimentation ^ Examining experimental considerations and terminology ^ Exploring the 2* full factorial experiments

The point of Six Sigma is improvement, and you are now at the point in the DMAIC roadmap where you synthesize improvements and/or reconfigure your system or process to be better. Six Sigma offers extremely powerful tools

To aid you in your improvement efforts. Chief among these tools is experimentation. In Six Sigma, you first design an experiment before you carry it out. Then you follow it up with analysis to uncover previously hidden knowledge.

Design of Experiments (or DOE For short) has always been at the technical heart of Six Sigma. As necessity is the mother of invention, the field of DOE

Has matured due to the need to understand, and then improve, the world around you. This chapter gives you the lowdown.

Whij Experiment} The Improvement Porter Of Six Sigma Experiments

How is improvement achieved? The spark of improvement comes from a

Curious mind, trying to figure out what it is that makes things tick.

What is an experiment, amju’auj}

In an Observational study (covered in Chapter 7), you simply act as an outside

Observer, recording data as it happens, trying to glean understanding from

Careful review of the world around you. In these types of studies, you just let

The XS (inputs) of the system or process you are working on take whatever

Values they do. And as this plays out, you record the corresponding process

Output Y Values.

Experiments, On the other hand, are different from observational studies in one fundamental way: In experiments, instead of just letting the Xs of the process you are studying take on whatever values they do, you purposely

Setand control the values that the XS take on. In an experiment, you actively

Control and modify the process being studied.

Experiments offer a greater level of insight and knowledge than observational studies do. Think of the many observational studies performed for decades

In fields like medicine, education, economic policy, diet, and so on. Dozens

Upon dozens of observational studies have only added incremental knowledge to these areas; there is, for example, still a lot of debate about what specific foods are part of a healthy diet. Because you purposefully control the factors, the amount of specific knowledge you get out of an experiment

Almost always exceeds what you gain from observational studies. For that

Reason, designing and analyzing experiments — in spite of the complexity of the topic — has always been one of the core pillars of Six Sigma breakthrough

Improvement.

The purpose of Six Sigma experiments

Every experiment in Six Sigma is targeted at better understanding the Y = f(X) Relational foundation between the inputs and outputs of the process or

System being improved. Better understanding from experimentation includes

Is Knowing which input Xs have a significant effect on the output Y and

Knowing which XS are insignificant.

Formulating and quantifying the mathematical relationship between the

Significant Xs and the output Y.

F Statistically confirming that a change or improvement has been made to a process or system.

Discovering where to set the values of the significant XS so that they combine together to produce the optimal output value of Y.

Few activities in Six Sigma offer as much insight and change horsepower as experiments do. That’s because properly designed experiments reveal, quantify, and confirm the underlying Y = f(X) relationship of a process or system.

Experimenting With Words

The field of planning and analyzing experiments is much older than Six Sigma.

As a result, a few somewhat unique terms are used. Here are some of the interesting terms you need to know — along with their relation to Six Sigma.

Response Is the term used for the output of the process that you investigate in the experiment. In Six Sigma terms, the response is synonymous

With the Y In the Y = F(X) Equation. The whole point of the experiment is to figure out how the Xs combine together to effect the response, or Y.

F The input characteristics, or variables you purposely control during

Theexperiment, are called experimental Factors. Sometimes, they’re also

Called Conditions, variables, Or simply Inputs. In all cases, the experimental factors are the Xs in the Six Sigma Y = f(X) equation.

In your experiment, you choose two or more values for each of the experimental factors. These values are called the Levels For that factor.

Planning your experiment includes deciding how many levels you need to use for each factor.

Processes and systems have variation. Part of experimentation is

Repeating your whole experiment, or parts of it, to understand how

Much variation there actually is. These types of repetitions are called

Replications. Deciding what part of your experiment needs to be replicated

And deciding how many replications there will be is part of developing

Your experiment plan.

Every experiment is made up of a series of Runs. Each experimental run consists of a unique, predetermined set of values for each of the factors.

You then conduct the process or system through one cycle with those input values, and the output is recorded. That is a run in an experiment.

The end game of Six Sigma experiments

It has been said, "Knowledge is power." Six Sigma experiments are a confirmation of that statement.

The power of Six Sigma experiments lies in their ability to formulate, quantify and validate the Y = f(X) Relationship of a process or system. Knowing the form and details of Y = f(X) For a system, you literally have a window into the past, present, and — most importantly — the future.

After wrapping up an experiment, you have in your hands a Y = f(X) Equation

That identifies each critical input XAnd quantifies its influence on the output Y. For example, if you are working on a marketing plan to improve brand awareness (that’s the output Y), A Six Sigma experiment provides an equation that tells you which type of advertisements — newspaper, radio, TV, Internet, and so on — and how many of each type to run (the input Xs) to reach a specified

Improvement goal. Or if you are managing the production ofplastic seals that must meet a minimum tear strength requirement (the Y), After proper experimentation, you have an equation that tells you exactly where to set the mold press temperature (X1), how much pigment to add (X2), and the correct operating temperature of the mold press (X3). In all cases, whether they involve

Continuous or attribute data, successful experimentation reveals detailed, specific knowledge of which input Xs influence the output Y — and by how much.

With this level of system or process knowledge, your operational focus immediately switches from passively watching the output and hoping for success to actively monitoring and controlling identified key inputs, knowing that

Your purposeful management and control of these inputs will always lead to the desired process outcome. This is where you open the door to the new world of breakthrough performance.

Look Before \lou Leap: Experimental

Considerations

Trial and error — tinkering with the input knobs of a process or system — is temptingly simple. We all have a desire to jump in and quickly fix a problem. In the long-run, though, careful planning almost universally leads you to a

Quicker and better solution.

Frankenstein should have planned

How should you approach experimentation? Where do you start? The trial-and-error approach

Many people approach experimentation by rolling up their sleeves and jumping into an unstructured exploration of the experimental variables and their resulting output: Tweak the knobs, adjust the settings, and observe the results.

Often, judgment and intuition are the basis for steering the exploration and

Interpreting the findings.

For obvious reasons, however, this unstructured, haphazard approach

Rarely increases knowledge. Every once in a while, you may get lucky, but

Thisapproach, isunreliable.

The one-factor-at-a-time approach

At the other end of the spectrum, there’s a structured approach: Isolate a single input variable and study its effect on the output; carefully hold all other

Factors constant while the selected input variable is incremented across an

Exploratory range of operation. Then repeat this meticulous scan for each of

The input variables.

The downfall of this method is twofold:

The one-factor-at-a-time approach is inefficient and expensive. A scan, conducted one factor at a time, of the possible operating range for each input variable leads to a huge amount of experimental runs. Unless you have only one variable in your system, this approach becomes unwieldy

And wastefully expensive.

The results of one-factor-at-a-time experiments are often misleading.

When you isolate individual variables, you automatically negate the possibility of two or more factors combining together to affect the outcome. But these types of interaction effects are an unavoidable part of reality. Think of baking a cake. A delicious-tasting outcome (the Y) Is a function of several input Xs — like "amount of flour," "number of eggs," "oven temperature," "baking time," and so on. Obviously, the right value for the

Variable of "baking time" depends on the setting for "oven temperature."

How hot the oven is and how long you leave the cake in the oven are two

Input variables that interact with each other. One-factor-at-a-time experiments will never uncover this essential relationship. The danger is that

You draw unfounded conclusions from your experiment — or miss important information altogether.

Use the one-factor-at-a-time approach only when you have a process or

System with a single input variable. This approach works with a single-x

System because there is no possibility of an interaction effect.

The Six Sigma approach — doing more than one thing at a time

Now you know the drawbacks of the haphazard approach and the one-factor-at-a-time approach. Is there a better way? Six Sigma uses a reliable approach

To experimentation that:

Is Efficiently accumulates information about a process or system

Provides valid insights, including knowledge regarding variable interactions

F Quantifies the amount of knowledge discovered about a system as well

As the amount of knowledge that remains unknown

The experimental approach you use in Six Sigma incorporates the best practices from the various disciplines of science. Over the years, scientists have

Developed experiment plans that return a vast amount of knowledge in a very

Efficient way. The key elements of the Six Sigma approach include:

F Planning out the experiment before you conduct it. "Look before you leap" is a mantra of every good experimenter. Careful planning always

Increases the value of your experiment results while minimizing the amount of work and money you have to invest.

F Exploring the effect of more than one input variable at a time. This

Allows you to be efficient while at the same time capturing unsuspected and sometimes hard-to-find interaction effects.

F Minimizing the number of required runs in your experiment. It’s surprising how much you can get out of a small number of properly planned

Experimental runs.

T-" Replicating key experiment conditions to assess variation. A part of every experiment is understanding how much of your system’s or process’s behavior is deterministic and how much is random variation.

Accounting for known and unknown factors that you are not directly including in your experiment. You can never take everything into consideration in your experiment. There are ways, however, to keep these nuisance factors from clouding the results of your experiment.

Simple, sequential, and systematic is best

Rome wasn’t built in a day. Properly planned experiments fit into a larger strategy of iteratively converging to an ideal improvement solution.

The problem ©ith boil-the-ocean super-experiments

The power of designed experiments is intoxicating. Be careful, though, not to

Get carried away. There is a temptation to try to solve everything in one fell

Swoop, using a big, well-designed super-experiment. But putting all your eggs into one experimental basket has some definite drawbacks.

F Creating a single super-experiment based only on the knowledge you

Have Before The experiment begins necessitates that you include all the variables that you suspect are contributing to the situation. This always

Leads to a long list of potential Xs, and consequently, always results in a long, expensive, unwieldy experiment.

As a large super-experiment is carried out over a protracted period of

Time, there is a greater chance of unknown factors creeping in, confounding the experimental conditions and results.

With no prior knowledge, it is difficult to know what values and ranges

To assign to each experimental XInput.

Conducting an experiment takes time and money. If something goes wrong in your one super-experiment or if new information is revealed

That requires a change to your initial assumptions, you will have already

Consumed your experimental budget and resources. The progressive, iterative approach

An efficient and consistently successful approach to experimentation follows

A progressive and iterative approach.

Screening experiments: At this first stage, experiments are designed to handle a large number of factors or variables. When you first start investigating a process or system, you identify all the possible Xs that may be

Influencing the output Y. The whole point of screening experiments is

To quickly verify which of these factors has a significant effect on the output.

Characterizing experiments: When you have screened out the unimportant variables, your experiments focus on characterizing and quantifying the effect of the remaining critical few. These characterization experiments reveal what form and what magnitude the critical factors take in

The Y = f(X) Equation for your process or system.

Optimization experiments: After characterizing your process or system,

The final step is to conduct experiments that teach you what the best settings are for the input variables to meet your desired outcome goal.

Your goal may be to maximize or to minimize the value of the output. Or it may be to hit a certain target level. More often, your goal is simply to

Minimize the amount of variation in the output Y. Optimization experiments find the best settings of the XS to meet your Y Goal.

The purpose of each of these types of experiments — screening, characterizing, and optimizing — are very different. The form and plan of the experiments you conduct at each of these stages, therefore, are necessarily different from

Each other.

Figure 9-1 shows the progressive and iterative approach used in Six Sigma

Experiments.

2k Factorial Experiments

Design and analysis of experiments is a topic large enough for a whole For Dummies Book by itself. To get you quickly up to speed, however, the following section of this book shows you how to plan, conduct, and analyze the most common type of experiment in Six Sigma — the 2" factorial (pronounced two to the k). 2" factorial experiments can be easily adapted to provide screening,

Characterization, or optimization information. Insights into other types of

Experiment designs and variations used in Six Sigma are offered along the way.

Plan your experiment

Like in almost all other endeavors, time spent in planning is rewarded with

Better results in a shorter period of time. Planning 2" factorial experiments

Follows a simple pattern that is outlined in the following sections.

Select the experiment factors

The first thing to do in your planning is to identify the input variables, the

XS, that you will include in your experimental investigation. The factors youinclude should all be potential contributors to the output Y You are investigating.

How many factors you want to include in your experiment guides you in

Choosing the right experimental design. 2" factorial experiments work best

When you have between two and five Xs. But if you have over five Xs in your experiment, full 2" factorial experiments become relatively inefficient and can be replaced with pared down versions called Fractional factorials, Or with

Other screening designs.

One good strategy is to include all potential Xs in a first screening experiment — even the ones you are skeptical about. You then use the analysis of the experiment results to tell you objectively, without any

Guessing, which variables to keep pursuing and which ones to set aside.

Remember, in Six Sigma, you let the data do the talking.

Experience with experiments verifies the Pareto Principle Introduced in Chapter 7 — that even if you include dozens of contributing factors in your experiment, only a small number of these Xs have a significant effect on the output response. When you initially have more than four or five factors, your experiment purpose is to screen out the "trivial many" factors from the "critical few." After that, you then run characterization experiments to provide the

Detailed knowledge about the remaining critical few.

Plac"ettBurman experiment designs Are an advanced method you may hear about for efficiently screening dozens of potential Xs. Although they don’t reveal all the detailed knowledge provided by a 2" factorial design, Plackett-Burman experiments quickly identify which experimental variables are Active In your system or process. You then follow these screening studies up with

More detailed characterization experiments.

Set the factor levels

2" Factorial experiments all have one thing in common — they use only two levels for each input factor. (That’s what the "2" in 2" stands for! The " Represents the number of factors included in your experiment.) For each X In your

Experiment you select a "high" and a "low" value that bounds the scope of your investigation.

For example, suppose you are working to improve an ice cream carton filling

Process. Each filled half-gallon carton needs to weigh between 1,235 and 1,290 grams. Your Six Sigma work up to this point has identified ice cream

Flavor, the time setting on the filling machine, and the pressure setting on the

Filling machine as possible contributing Xs to the Y Output of weight. For each of these three factors, you need to select a "high" and a "low" value for your

Experiment.

With only two values for each factor, you want to select high and low values

That bracket the expected operating range for each variable. For the ice

Cream flavor variable, for example, you may select Vanilla and Strawberry to

Book-end the range of possible ice cream consistencies. Table 9-1 provides a

Summary of the selected experiment variables and their values.

Table 9-1 Variable Values for the Ice Cream _Carton Filler Experiment_

Variable_Symbol_"Low" Setting "High" Setting

Ice cream flavor X Vanilla Strawberry

Fill time (seconds) X2 0.5 1.1

Pressure (psi) X3 120 140

2" experiments are intended to provide knowledge only Within The bounds

Ofyour chosen variable settings. Be careful not to put too much credence on information extrapolated outside these original boundaries.

Experimental codes and the design matrix

With the experiment variables selected and their "low" and "high" levels set, you are now ready to outline the plan for the runs of your experiment. For 2"

Factorial experiments, there will be 2" number of unique runs, where " Is the

Number of variables included in your experiment. For the ice cream carton

Filler example, then, there will be 23 = 2 X 2 X 2 = 8 runs in the experiment,

Because there are three input variables. For an experiment with two variables

There will be 22 = 2 X 2 = 4 runs, and so on.

Each of these 2" experimental runs corresponds to a unique combination of

The variable settings. In a full 2" factorial experiment, you conduct a run or

Cycle of your experiment at each of these unique combinations of factor

Settings. In a two-factor, two-level experiment, the 22 = 4 unique setting combinations are with:

Both factors at their "low" setting

The first factor at its "high" setting and the second factor at its "low" setting

F The first factor at its "low" setting and the second factor at its "high"

Setting

Both factors at their "high" setting

There are no other ways that these two factors can combine with their two levels. For a three-factor experiment, there are eight such unique variable setting combinations.

A quick, shorthand way to create a complete table of an experiment’s unique run combinations is to create a column for each of the experiment variables and a row for each of the 2" runs. Then, using -1s as a code for the "low" variable settings and +1s as a code for the "high" settings, start with the left-most variable column, and fill in the column cells with alternating -1s and +1s.

With the left-most column filled in, move on to the next column to the right

And repeat the process — but this time with alternating Pairs Of -1s and +1s. Fill in the next column to the right with alternating Quadruplets Of -1s and +1s,

And so on, repeating this process from left to right until, in the right-most

Column, you have the first half of the runs marked as -1s and the bottom half listed as +1s. This table of patterned +1s and -1s is called the Coded design matrix. Table 9-2 shows the coded design matrix for a three-factor experiment, such as the ice cream carton filler.

Table 9-2 Coded Design Matrix for a Three-Factor Experiment

RunX, X2 X3

1 -1 -1 -1

2 +1 -1 -1

3 -1 +1 -1

4+1 +1 -1

5-1 -1 +1

6 +1 -1 +1

7 -1 +1 +1

8 +1 +1 +1

Remember that these three factors are coded values in the table; when you see a under the X1 column, it really represents a discrete value, such as "Vanilla" in the ice cream experiment; and a really represents the other

Value, like "Strawberry."

Conduct your experiment

With your experiment well planned, the act of carrying it out is easy — it’s like falling off a log. Now it’s time to roll up your sleeves and get into the scientific trenches.

Randomize: Safeguard against unknown nuisance factors

Despite your best efforts, external factors beyond the control of your selected experiment variables may creep in and influence the outcome of your experiment. These are factors (called Nuisance factors) That you haven’t foreseen,

But they have the potential to blur the clarity of your analysis and insights.

For example, in the ice cream carton filling process discussed in the preceding

Section, a rise in the ambient factory temperature during the duration of the experiment may affect the experiment outcomes and be falsely construed as a

Real effect from your selected experimental factors.

One way to compensate for these unknown nuisance variables is to Randomize The order of your experimental runs. This spreads out the otherwise concentrated or confounding potential for nuisance effects evenly and fairly over all of the experimental runs and preserves the clarity of your results.

Always randomize the order of your experiment runs. This reduces the risk of extraneous variables skewing the results of your analysis.

Randomize materials being used in your experiment, your personnel, or your

Equipment. The idea is to guarantee that only the effect of your selected factors is purposely concentrated during your experiment.

Blocking: Safeguard against known nuisance factors

When you know the source of nuisance variation that is not part of your

Selected experimental factors, you can purposely include this nuisance effect

In All Your experimental runs. In this way, you guarantee that there will be no

Bias on only a portion of your experimental settings.

In the ice cream carton filling example, you may decide to perform each

Experimental run at the same time each day. This way, the influences from

Different times of day are blocked from impacting only some of the experimental runs.

A catchy phrase may help you remember the roles of randomizing and blocking in your experiments: Block what you can and randomize against what you can’t block.

Perform the experiment and gather the data

Running the experiment is the fun part. All you have to do is follow your experimental plan, like the one shown in Table 9-3 for the ice cream carton

Filler project.

Table 9-3 Plan and Results for the Ice Cream _Carton Filler Experiment_

Run OrderX,: FlavorX2: TimeX3: PressureY

1 7-1-1 -1 1,238

2 2 +1 -1 -1 1,252

35-1 +1 -1 1,228

48+1 +1 -1 1,237

53-1 -1 +1 1,223

66+1 -1 +1 1,234

71 -1 +1 +1 1,238

84+1 +1 +1 1,250

In Table 9-3, the coded design matrix is augmented with a column showing the random order in which the experimental runs are conducted. Also, on the

Far right, a column is added to capture the outcome Y Variable for each experimental run. In Table 9-3, recorded values for the ice cream carton filling example experiment are provided.

Analyze your experiment

The purpose of analyzing your experiment is to take the experiment results

And piece together the Y = F(X) Puzzle for your process or system. How much effect does x1 have on Y? What mathematical form does this relationship take on? These are the questions that your analysis will answer.

Visualize and calculate the main effects

A Main effect Is the quantitative influence a single experiment factor has on

The response Y. There will be a main effect for each factor in your experiment.

For example, how much effect does ice cream flavor — going from "Vanilla" to "Strawberry" — have on the resulting filled weight of the carton?

The main effect of the X ice cream flavor factor is the average response of the experiment runs with X! at its "high" or "Strawberry" setting, minus the average response of the experiment runs with X at its "low" or "Vanilla" setting. To find the answer, refer to the captured values in Table 9-3. Runs 2, 4, 6, and 8 are where X is at its "high" setting. Runs 1, 3, 5, and 7 are where X is at its "low" setting. So the main effect of ice cream flavor (called Ј1) can be written mathematically as

E 1 _ 4 4

E _ 1,252 + 1,237 + 1,234 + 1,250 1,238 + 1,228 + 1,223 + 1,238 E 1 _ 4 4

E1 _ 1,243.25 _ 1,231.75

E1 _ 11.5

Figure 9-2 shows the main effect of ice cream flavor graphically. You can see

That as the ice cream flavor changes from "Vanilla" to "Strawberry," the

Carton weight changes by 11.5 grams.

Ј,: Main Effect

12441242124012381236-

Figure 9-2:

Main effect Ј1 On carton weight due to the ice cream flavor.

Y + Y + Y + Y > -2-*-§-1 = 1 243.25 /

4

/ AjJil^jJl = 1231 .75 / 4

11.0

Vanilla

Strawberry

JT,: Ice Cream Flavor

To calculate the main effect E2 of fill time on the filled carton weight Y you can leverage the coded setting values for factor X2 in Table 9-3. Call these coded values c21, c22, and so on through c28, for each of the experimental runs. Another way to write the equation for the main effect of fill time, then, is

E 2 _ E 2 _

C2,1 Y + C2,2 Y2 + C2,3 Y3 + C2,4 Y4 + C2,5 Y5 + C2,6 Y + C2,7 Y7 + C2,8 Y.

-1)1,238-

-1) 1,252-

4

+1) 1,228-

-1) 1,237 + (-1) 1,223 -

1)1,234

1)1,238

1)1,250

4

-1,238 – 1,252 + 1,228 + 1,237 – 1,223 – 1,234 + 1,238 + 1,250

E2_1.5

Which gives a main effect of fill time of 1.5 grams.

Then using the coded setting values for X3 — C31, c32, c38 — the same procedure can be used to calculate the main effect’ of pressure E3:

E3 E3

1,238 _ 1,252 _ 1,228 _ 1,237 + 1,223 + 1,234 + 1,238 + 1,250

2.5

With the main effect of pressure being -2.5 grams.

In fact, the coded setting values can be leveraged to create a generalized equation to compute Any Effect in a 2* full factorial experiment.

E._ 1 yC. Y

2 / _ 1

Where k is the number of experiment factors and / designates which effect you’re calculating.

Figure 9-3 shows all three main effects on a single plot for comparison.

Figure 9-3:

Graphical – 1244 comparison

Of main

Effects for

The ice

Cream

Carton filling

Example.

=: 1240

■=T 1236

1232

Flavor

Fill Time

Pressure

/

/

Vanilla

Strawberry

0.5

1.1

120

140

Visually, it is easy to see that X1, the flavor of the ice cream, has the largest

Main effect on the filled weight of the cartons. (See Chapter 5 for a more detailed discussion of main effects plots.)

Visualize and calculate the interaction effects

One input variable interacting with another is always a possibility. Are there any of these type of interaction effects in the ice cream carton filling example? How do you find out?

Call the interaction effect between ice cream flavor (X) and fill time (X2) E12. What you do next is create a new column of coded setting variables that represents the interaction of factors X and X2. You do this by multiplying the coded values of X and X2 together for each experiment run. For example, c121 = c11 x c21, c122 = c12 x c22, and so on up through c128 = c18 x c2 8. Table 9-4 shows the ‘ new coded setting values for the two-variable and the three-variable interactions possible in the 23 ice cream carton filler experiment.

Table 9-4 Interaction Coded Variables for the _Ice Cream Carton Filler Experiment

Rune, c2 c3 c,2 c,3 c23 c123 Y

1 -1 -1 -1 +1 +1 +1 -1 1,238

2 +1 -1 -1 -1 -1 +1 +1 1,252

3-1 +1 -1 -1 +1 -1 +1 1,228

4 +1 +1 -1 +1 -1 -1 -1 1,237

5-1 -1 +1 +1 -1 -1 +1 1,223

6 +1 -1 +1 -1 +1 -1 -1 1,234

7-1 +1 +1 -1 -1 +1 -1 1,238

8 +1 +1 +1 +1 +1 +1 +1 1,250

With the coded values for the interaction effects, you can now use the general formula to calculate each of the possible two-variable interaction effects.

For example, the interaction effect between ice cream flavor (X1) and fill time

(X2) Is calculated as

E12 = 2T-T 2 C kjYJ

_ ( +1)1,238 + (-1)1,252 + (-1) 1,228 + ( +1) 1,237 + ( +1) 1,223 + (-1)1,234 + (-1) 1,238 + ( +1) 1,250

E12 4

1,238 – 1,252 – 1,228 + 1,237 + 1,223 – 1,234 – 1,238 + 1,250

E12 _-4-

E12 _-1.0

Or -1.0 grams effect when the X and the X2 factors are combined together.

Using the same procedure, you can calculate interaction effects for E13 and E23. You should get values of 0.0 grams and 14.0 grams, respectively. Figure 9-4

Shows all three two-variable interaction effects.

V, : Flavor

Figure 9-4:

Two-factor interactions in the ice cream carton filler example.

0.5

Interaction Effects

1.1 120

140

X2 : Fill Time

\ /

1242

1236

1230

1242

1236

1230

Flavor Vanilla Strawberry

Fill Time

0.5 1.1

.V3 : Pressure

In the grid layout of Figure 9-4 for the X2 – X3 interaction, you can see that the plotted effect lines have very different slopes. This is your graphical clue to know that E23 is very strong. The plotted effect lines for X1 – X2 and X1 – X3, however, have very similar slopes. It is no surprise that their calculated interaction effects, E12 and E13, are rather small.

For a three-factor experiment, there is one more interaction effect you need to compute. It is the possible interaction when all three variables are combined (E123). This may sound tricky, but it’s not because you’re using the

Coded setting values and the same general formula for calculating the effects.

E123 _ TJT-T2 C123,/ Y/ 2 / _ 1

E -1,238 + 1,252 + 1,228 – 1,237 + 1,223 – 1,234 – 1,238 – 1,250

E 123 _ 4

E123_1.5

Or 1.5 grams effect when all three factors are combined.

Which effects are significant}

Even though you can calculate all the main and interaction effects of the variables, are they all significant? Are they all necessary? The Pareto Principle (see Chapter 7) tells you that a relatively small subset of all the possible effects explains the vast majority of the output responses. So how do you

Know which effects to hold on to and which ones to cast aside?

If the factors you select for your experiment have no impact on the outcome

Y the calculated main and interaction effects will just be random — they’ll be normally distributed and centered around zero. But if any one of the effects is

Significant, it will depart from the random cluster of the rest.

The easiest way to detect this departure is graphically, by plotting all the calculated effects against a line representing a normal distribution. If a plotted effect doesn’t fit this line, you know that it is not part of the random noise, but instead is significant.

To create this graph for the ice cream carton filler example, you list all the calculated effects in rank order from smallest to largest and write down the

Rank i next to each effect. In case of ties, like between E2 and E123, you assign

The average rank to the tied effects. You can see this in Table 9-5.

Table 9-5 Creating the Normal Scores for the

Ice Cream Carton Filler Example

Effect Value Rank (i) PZ

Ј3

-2.5 1 0.071 -1.465

Ј"12

-1.0 2 0.214 -0.792

Ј13

0.030.357-0.366

Ј2 1.5 4.5 0.571 0.180

Ј123

1.5 4.5 0.571 0.180

Ј1 11.5 6 0.786 0.792

Ј23

14.0 7 0.929 1.465

As an intermediate step, you have to calculate the expected probability for

Each rank. This is called P and is in the fourth column of Table 9-5. The formula calculating the P for each row in the table is

So for the E13 effect, its expected probability, P is

PI _ ‘l1^ _ T5 _ °.357

The final step in creating the values of Table 9-5 is looking up the Z value for each intermediate P value. Using a look-up table for Z, you can see that the Z score corresponding to the P of °.357 on E13 Is -°.366.

Having filled in all the values of Table 9-5, you now simply plot the calculated Z value against each of the corresponding effect values. This is shown for the ice cream carton filler example in Figure 9-5.

Looking at Figure 9-5, it is obvious that effects E1 and E23 are very different from the rest of the effects. While E1 and E23 are not centered around zero and clearly don’t fit the expected normal probability line, all the others do.

The more complicated a potential interaction is, the less likely it is to be significant in reality. Very often, for example, two-factor interaction effects are found to be significant. Much less often, three-factor interactions are determined to be important. It is a real rarity to uncover a legitimate interaction

Effect that includes four or more factors. The more complicated an interaction effect is, the more skeptical you should be about it being real.

With just an eight-run experiment, you have determined that there are really

Only two effects that significantly effect the performance of the ice cream

Carton filler. The first is the type or flavor of ice cream being produced. Also,

The combined, interactive effect of filler time and pressure definitely impacts performance. But filler time and pressure, acting by themselves, don’t have a

Significant effect.

This is the power of Six Sigma. Rather than guessing or fumbling in the dark

For the answer, you let the data and the analysis show what is important and

What is not. In return, you look like the hero! The general form of the equation

2* factorial experiments not only reveal which factors effect the output y but they also allow you to understand the form of the Y = F(X) Equation for the system or process you are improving. At the onset, a 2* experiment investigates the possibility of all main and interaction effects being significant. (Subsequent analysis shows you which ones you can safely ignore.)

Picture in your mind a general y = F(X) Equation with a term for each main effect, a term for each interaction effect, and an overall offset effect. For the

Three-factor ice cream carton filler example, this general equation takes the

Form:

Y _ F3 ° + Ј 1 x1 + P 2 X 2 + P 3 X 3 + P12 X1 X 2 + P13 X1 X 3 + /3 23 X 2 X 3 + /3123 X1 X 2 X 3

In this general equation, each combination of the input X Variables is prefixed with a multiplier coefficient represented by the jtfs (the Greek letter beta; pronounced BAY-tah). The little subscripts at the lower right of each jO tell you which effect it corresponds to. In stuffy mathematical terms, these jtfs are called coefficients.

A two-factor system would have a general equation of

Y _ / ° + /1×1 + / 2 x 2 + P12 x1x 2

While a four-factor system would include additional terms for all the three-variable and four-variable interactions.

The A, term in all these equations represents the overall level of the process or system you are working on. No matter what you do to the setting of any of

The system variables, the system will take on at least this value. That’s why it

Is often called an Offset Or Constant Term.

Define §our \t = f(K) equation

For the system or process you are working on, the only terms of the general

Equation you need to hang on to are the ones that correspond to the effects you have found to be significant. For example, in the ice cream carton filler process, only the ice cream flavor x1 and the filler time-pressure interaction x2x3 effects were found to be significant. That leads to a simplified equation form of

Y = P „ + P X X X + P 23 X 2 X 3

But what are the values of the jHs? Again, finding these values is easier than you may think.

The value for the offset ft is simply the computed average for all the 2" Experiment runs. For the ice cream carton filler example, the average output rfor the eight experiment runs is 1,237.5, so

Ft = 1,237.5

The /lvalue for all other significant factors is found by dividing the corresponding effect value in half. That means that

Pi = T = ^ = 5.75 p 23 = ^ = 140 = 7.0

Why are the {i Coefficients half the effect value instead of the full effect value? It’s because the effect value is calculated over a span of +1 to -1 for the variable. That’s an effective distance of two, not one. Therefore, to get back to the right equation coefficient, you have to divide the calculated effect value by two.

With these coefficients calculated, you can write the Y = ice cream carton filler system:

F(X) Equation for the

Y = 1,237.5 + 5.75 X + 7.OX2X3

Armed with this equation, you can now go out to the ice cream production line and immediately correct the problem situation of this example.

4?

4E

Suppose that the weight of the filled ice cream cartons is required to be between 1,225 and 1,280 grams. If you are producing a batch of vanilla ice cream, you can plug that coded value into the equation (X = -1), and then

Plug in various coded values for X2 and X3 to calculate what your fill time and pressure settings should be on the ice cream filler machine. When you switch

Over to making strawberry ice cream, you can then pull out your equation again and know exactly how to alter your fill time and pressure settings to

Maintain the correct filled carton weight.

Be careful to plug only Coded Values into your derived Y = F(X) Equation.

\[ou’Ve Ontu lust Begun — More Topics in Experimentation

2k Full factorial experiments give you a powerful jump start into the world of improvement through DOE. But really, they are just the tip of the iceberg. As

You gain experience, you want to discover how to address more advanced topics.

Curvature: The assumption of 2* experiments is that the effects of your experimental factors is linear. Although this is often a good first approximation, there are many times when a line doesn’t fit your process or

System. For those cases, you need to design your experiment to reveal the curved nature of reality. This is usually done by including more than

Two levels for each of your experimental factors.

Replications: If you repeat your experiment, you get slightly different results. This shouldn’t surprise you. Variation, as always, is a part of everything — including your experiment. Repeating runs of your experiment (called Replications) Allows you to estimate how much of the

Observed variation in your process or system is explained by the

Derived y = F(X) Equation and how much remains unexplained.

Analysis of variance (ANOVA): Almost all experiments involve exploring, investigating, and comparing the sources of observed variations.

ANOVA is an advanced method that allows you to categorize and quantify all the various sources of variation.

F Robustness: The ability of a process or system to perform consistently in the face of variation is called Robustness. Taguchi and other experiment designs allow you to investigate and optimize your process or system so that it is as immune as possible to the ravages of variation.

Response surface methods (RSM) and optimization: The purpose of

Many experiments is to find out the best values to set the input variables at. A whole branch of the field of DOE focuses on designing and

Analyzing experiments to find the local or global optimal operation settings.

Fractional factorial experiments: 2* full factorial experiments can be adapted to more efficiently search through a large number of experimental factors. What you give up in increasing the number of experimental factors is analysis accuracy. Fractional factorial experiments teach how and where to adapt your experiment to get the most out of your search efforts.

Chapter 10

In This Chapter

► Understanding what process optimization tools do ^ Knowing about statistical analysis tools ^ Seeing how these tools are used by the Six Sigma practitioner Finding out about available software tools and technologies

Ou don’t have to be a programming whiz or a Ph. D. statistician to apply Six Sigma in even the most rigorous of situations. All the necessary tools are well defined and readily available, and they enable the Six Sigma practitioner to directly connect Six Sigma theory to practice. Each of the strategies

And methods discussed in Part II are implemented through these tools.

The Six Sigma tools marketplace has many products available. But fear not — they all sort into just a few categories. Chapter 12 addresses the tools designed

For management. This chapter discusses the tools created and honed specifically for Six Sigma practitioners. When applied to Six Sigma projects, these

Tools help you make the outcomes accurate, presentable, and reusable.

Most Six Sigma tools are implemented in software programs, most of which run directly on a PC. These programs perform the many process and analytical functions for you. Unleashing your Six Sigma genius is just a few clicks away.

As a bonus, this chapter also provides advice on the platform and technology issues involved in tool selection and application.

V

The Practitioner’s Toolkit

To be a successful Six Sigma practitioner, you must be accomplished in the application of the Six Sigma analytical and statistical concepts and formulas defined in this book. In the early days of Six Sigma — that was way back in the 1980s — such analyses and statistical processing were largely a manual and complex effort, confined to the world of the statistical geeks. Unless you

Were both an accomplished statistician and a computer programmer, the

Practice of Six Sigma was off-limits.

Today, this has all changed. The methods and tools are now well defined.

Andthe power of desktop computing, combined with several generations of accelerated development in application software, has made all the analysis,

Including advanced calculations and data display, a relatively easy and simple thing to do. With the wave of a mouse, you can easily execute the most complex functions, run advanced simulations, conduct a Design of

Experiments and create impressive charts and plots.

In short, as a Six Sigma practitioner, you are now enabled by a fully capable

Set of practical application tools. As with all tools, you have to know how

To use them properly and interpret what they’re telling you, but after you understand the theory and strategy of Six Sigma, you can use these tools to directly apply your new-found knowledge — quickly, comprehensively, and

Accurately.

Practitioner tools come in many colors and flavors, but they all fall into one of two primary types: process optimization tools and statistical analysis tools. Each plays a critical role in the successful application of Six Sigma.

F Process optimization Tools enable you to design, simulate, and optimize

Work processes. These include tools for creating process and work flow diagrams, building cause-and-effect matrices, constructing fishbone diagrams, developing SIPOC (Suppliers-Inputs-Process-Outputs-Customers) diagrams, assessing process capabilities, and more. The goal of these

Tools is help you see how work is performed and identify where the source of problems is.

F Statistical analysis Tools enable you to analyze data collected either

From the real-world performance of a product or process, or as the output of a simulation or experiment. These include basic statistics tools, and tools for analyzing variance, conducting regressions, performing Design of Experiments (DOE), and building control charts, plots, tables, and graphs. The goal of these tools is to help you turn data into knowledge such that you can make informed decisions.

You have choices in selecting and applying these tools. Because each tool is based on fundamental principles or mathematical formulas, you could work

Them out longhand with pencil and paper. You could use a slide rule, or even

A calculator. But in this modern world of personal information technology, we have software programs that implement every tool — quickly, cheaply, and easily. These programs perform every function for you. They also combine

Multiple tools into kits and present them in a logical order.

Most of these tools run only on a desktop PC under the Microsoft Windows operating system. If you’re a Mac or Linux user, or if you wish to deploy these

Tools via an intranet or through the Internet as Web-based applications, it’s improving, but it has been slim pickin’s. The last section of this chapter

Explores this further, but the simple truth is that the Six Sigma toolkit is primarily a Windows environment.

Process Optimization Tools

You practice Six Sigma for one reason, and one reason only: to improve your

Business processes. Therefore, those tools, directly facilitating efforts to

Optimize the many types of work processes in a business, are your primary weapons in your battle against ineffectiveness, inefficiency, variation, and

Waste. All the other tools — be them managerial or analytical — are in a supporting role. It’s all about improving the process.

We use the term "process optimization" here as a catch-all to describe both

The subject area — processes — and the purpose — optimization. Within this

Broad category are many supporting tasks, for which sub-categories of tools exist. These are summarized in Table 11-1.

Table 11-1_Process Optimization Tools

Process Tool Role

The SIPOC Suppliers-Inputs-Process-Outputs -

Customers. Create a high-level process map with a few key details about each of the key contributing elements.

CT (critical to) tree Critical to. . . tree. Identify, organize, and

Display parts of the process according to areas of critical importance.

Modeling Define and design processes, including

The flow of work or material, the timing of activities, resources consumed, and points of decision, inspection, and delivery.

(continued)

Table 11-1 (continued)

Process Tool Role

Simulation Simulate the flow of work and material

Through a process based on the model, and analyze the results of the simulation for overall effectiveness and efficiency. Find defects, errors, bottlenecks, variation, and non value-added elements.

C&E (cause-and-effect) matrix For the outcomes of any process, define

All the contributors, weight their effects, and determine the significant contributors to the outputs.

Fishbone diagram Create a high-level C&E in the form of a

Tree structure, with categories for each major type of contributor. A method for capturing potential causes and inputs to a process.

FMEA (failure mode effects analysis) For any activity or item, define the potential failure modes, including the likelihood of occurrence, and the ability to detect and characterize the effects of those

Failures.

Capability and complexity analysis Analyze the tradeoffs between product

Complexity and process capability, and define the proper configuration of each

To achieve desired outcomes.

Plans Use the outputs of simulation and analy -

Sis to define how data will be collected and how the processes will be controlled

And audited.

The S1POC

SIPOC, pronounced sy-pok, is an acronym that stands for Suppliers-Inputs-Process-Outputs-Controls. The SIPOC is one of the most fundamental building blocks in the Six Sigma process. With this tool, you build your first controlled and organized view of your work process and set the foundation for applying

The breakthrough DMAIC strategy.

SIPOC is one of those handy reminder acronyms that contains the terms in their proper order, helping you remember not only the five high-level elements of a process map, but the order in which they occur.

Table 11-2 The SIPOC

S: Suppliers

Suppliers are systems, people, organizations, or other

Sources of the materials, information, or other resources

That are consumed or transformed in the process.

I: Inputs

Inputs are materials, information, and other resources

Provided by the suppliers that are consumed or trans -

Formed in the process.

P: Process

The process is the set of actions and activities that trans -

Form the inputs into the outputs.

O: Outputs

Outputs are the products or services produced by the

Process and used by the customer.

C: Customer

Customers are persons, groups of people, companies,

Systems, and downstream processes that receive the

Output of the process.

Developing a SlPOC

You build a SIPOC from the inside-out, beginning at the center, with the process — of course! It’s a six-step approach:

1. Identify the process you wish to map and define its scope and boundary points.

Using action verbs, describe what the process is supposed to do, and in

How much time. Define its starting and ending points.

2. Identify the outputs.

What are the products and the services that will be produced by the process?

3. Define by name, title, or organizational entity the recipients (the customers) of the outputs.

4. Define the customer requirements; what do the customers expect?

What will they demand? What will they be entitled to in their fair

Exchange of value?

5. Define the inputs to the process.

Identify the human, capital, information, materials, and natural resources required by the process to produce the identified outputs.

6. Identify the sources (suppliers) of the inputs.

With this information in hand, you now have a fully-contained high-level view of any process. This alone is one of the most powerful tools you can use, because it sets the conditions for the DMAIC of Six Sigma. With the SIPOC,

You now have the basis for defining and characterizing the process itself, thecontext for measurement, and the basis for analysis, identifying areas of improvement, and homing in on your targets of control. SIPOC software tools,

Like iGrafx, SigmaFlow, and Process Model, help you capture, organize, and display this information.

1 hear Voices

And who’s talking? The loudest voice you hear should be the Voice of the Customer. Known as VOC, Voice of the Customer is a practice within Six

Sigma process optimization for ensuring that the customer’s requirements, expectations, and entitlements are flowed into the process. But that’s not the

Only "voice" in Six Sigma. Competing with VOC in your mind are two additional voices you need to consider, the voice of the process, VOP, and the

Voice of the business, VOB.

V Voice of the customer (VOC): This is the voice calling back at your

Process from beyond the output that offers you compensation in return for satisfaction of its needs and wants. These voices are the needs,

Wants, and desires of the customer, generally spoken as the customer

Requirements.

V Voice of the process (VOP): The process must meet the requirements of the customer, and the ability of the process to meet these requirements is called the VOP. This is a construct for examining what the process is

Telling you about its inputs and outputs and the resources required to complete the functional transformation.

T-" Voice of the business (VOB): This is the voice of profit and return on investment. At the end of the day, every endeavor has to enable the

Business to survive, grow, and meet the needs of its employees, investors, and the community.

What’s critical} Look in the CT tree

In Six Sigma, you always look for the causes. You want to know what’s behind something, what’s causing the outcome — find those "critical *s." In optimizing a process, you have to understand what’s critical to the successful outcome of

Each step, so you can focus on optimizing the right things. This is what a CT

Tree is for.

CT stands for "critical to. . . ." Critical to What, You may ask? The answer is, simply: critical to whatever matters. Depending on what you are analyzing and optimizing, this could mean anything from the satisfaction of the customer, to the quality and reliability of the product, to the cycle time of manufacture or

The cost of the delivered product or service.

The Six Sigma practitioner will often refer to the general CT case as "CTXs," in reference to the many variables that influence a desired outcome. But there are specific cases in process optimization, and the CT tree is a tool that helps you identify and characterize the influencers on specific outcomes.

Most CT trees begin with the output of the SIPOC, customer satisfaction, at

The top, and the others are subordinate. And, while the CTXs in Table 11-3 are the most commonly used, you are free to invent and apply any X that fits your need. We’ve seen everything from CTQ (quality) to CTD (delivery), and even CTC (cost). It all depends on your application.

Table 11-3_Applications of the CT Tree

Critical To… Title Definition

Satisfaction CTS What contributes to customer success?

Quality CTQ What contributes to process or product quality?

CostCTCWhat contributes to the cost or final price?

DeliveryCTDWhat contributes to the cycle time to deliver?

In creating a CT tree, begin by defining your specific area of application, such as customer satisfaction (CTS). This is your trunk. Then, define the branches, by category, of the key contributors to customer satisfaction, which may include availability, price, selection, accuracy, presentation, performance, andso on. These are your subordinate CTXs. Lastly, define the leaf nodes: thecauses or influences on those categories of customer satisfaction.

An example CT tree is shown in Figure 11-1. In the main window, you can see that the root node of the tree is labeled as Critical to Satisfaction. The branch nodes for this CTS tree are identified in blue, as selection, price, performance, and availability. The leaf nodes are then identified and defined for each branch. In this example, one leaf node, configuration, has contributing sub-leaves as well, deemed worthy of inclusion as being critical to the configuration.

Also note in Figure 11-1 that the upper left window contains the same information, assembled in a different manner. That’s fine; it’s just another way of

Showing the same thing.

Modeling a process

A Six Sigma process is defined precisely — very precisely — down to the last detail of activity, resource, decision, dependency, and value. Only in this way can a process be sufficiently measured and analyzed, leading to breakthrough

Improvements and, ultimately, effective controls. The process model is our representation of this precise process definition, and the practice of process

Modeling is therefore at the very heart of Six Sigma.

Process modeling has been practiced for decades, and the fundamental concepts of process modeling are nothing new. The Six Sigma style of process modeling has a few different wrinkles, however, and as a result, the Six Sigma process model bears only a superficial resemblance to its ancestors. In the world of Six Sigma, the process model is characterized in mathematical terms, permitting us to perform a plethora of statistical analyses on its various parts and pieces. Each node, each function, and each activity is backed by numerical descriptions and quantifiable attributes, enabling us to see the

Process in this mathematical light.

^BC» In Six Sigma process modeling, you are characterizing a practical situation Y~f\ In ways that permit it to be described in statistical terms, allowing you to ( liW ) develop statistical solutions, which you then apply back into your practical environment. On the surface, a Six Sigma process model looks like a flow

Chart, but underneath, it’s a raging mathematical beast.

The 1, 2, 3s of process modeling

Process modeling is rigorous. It requires to you understand the whole of

Things as well as their detailed intricacies. A process model takes time to

Build. It crosses boundaries and borders, and sometimes just in the process

Of creation, you’re likely to uncover issues and even step on a few toes. But don’t despair — your process model speaks the truth! It’s the basis for

Understanding and breakthrough improvement. The time you spend building it will reap its rewards in performance and satisfaction.

Six Sigma process modeling begins with the building of process maps.

Thepaths, encounters, decisions, and destinations on these maps are then

Annotated and defined in quantitative terms, including such measures as

Value, time, resources, yields, and the statistical distributions around each. The outcome of this process is the statistical basis for simulating the process andanalyzing the results.

Drawing a process map

A process map looks like a flow chart, and, at the top level, that’s exactly

What it is. A process map is a picture of the activities and events in a process.

Figure 11-2 is an example process map.

You can draw a process with a pencil and paper, or with a drawing tool like Microsoft Visio. However, only more advanced tools like iGrafX Process, SigmaFlow, and Traxion permit sufficient definition and attributing to enable Six Sigma-class simulation and analysis. It’s important to follow a consistent set of conventions when using shapes, connectors, and other drawing elements.

Figure 11-3 is an example set of some drawing conventions used in process mapping. While these icons are typical, the exact shape may vary slightly

From one tool to another.

Use sufficient process mapping shapes across the organization. With the emergence of the Business Process Modeling Notation (BPMN) standard,

Process modeling is poised to become more routine and effective. In the

Meantime, your best bet is to adopt the conventions used in one of the software applications, and standardize their set of icons for use across your team or organization. Choose something, and then stick with it.

At this stage, you’re not worried about the details of what happens inside each of these boxes. Your goal is to capture each of the steps, identify their basic function, and connect them in the manner that represents the process.

( ) Start / End

Process

O

Decision

Document

Ј7

Data

Figure 11-3:

Mapping icons.

Storage

Transport

Inspection

Defining the process points

Once you’ve drawn a process map, the next step is to define explicitly each of the map’s objects. You must be precise — and quantitative; the accuracy of your process model depends on it. If you are using a process modeling tool,

Your tool will include prompts for the attributes at each node in the model.

These attributes are numerous. The categories of process element definitions include:

Operation cycle time Of the process element, including its average time to complete, the variation in time called the standard deviation, and perhaps a distribution curve to represent all the possible completion times as well.

F Resources Used in the process element, including human, capital, and natural resources. The better tools will permit you to identify resources by name and type, and then later track their utilization during simulation.

V Value added By the process step, in the units of measure that mean the most to your organization. At a minimum, you must be able to define whether the process step is value-added (VA) or non-value added (NVA).

F Costs Of the resources consumed. These include the costs of personnel,

Facilities, direct material, and can even include indirect costs.

The closer you can come to defining costs in the same terms as your accounting system, the better. Ultimately, you will be reconciling cost and claiming value that will be verified by your accounting department. Get the bean counters involved up front and make them your partner by counting your beans the same way they count theirs.

Swimming in fanes

A recent development in process modeling is a visualization technique called Swim Lanes. Remember how we told you that processes cross boundaries and borders? Imagine you are the customer: You’re in Lane 1. Sales is in Lane 2. Invoicing is in Lane 3. And so on. Time flows from left to right. The process crosses lanes as it traverses departments on its journey from start to finish. See Figure 11-4.

The swim lane is an effective visualization technique that enables each functional contributor to a process to understand their role, while at the same

Time giving everyone a chance to see just how complicated the process may

Be within your organization. Remember, each time we cross a lane we have in essence created a supplier — a customer interaction that implies needs,

Wants, and desires that must be met.

To be, or not to be

Process modeling is typically an exercise in defining how you envision your

Process can work sometime in the future, after implementing the changes

That would enable your new concepts. It’s the To-be State of affairs. Modeling the future in this way is powerful, because it provides you the opportunity to

Examine your plans in detail and consider the options before you implement

The changes. Coupled with available simulation capabilities, you wouldn’t

Dream of making changes without first modeling them.

The other application for process modeling is to create a model of today’s reality: the so-called As-is State. Few organizations do this. They are so eager to dismiss with today’s problematic world that they leap-frog straight to the dream of tomorrow’s possibilities. Big mistake! The only excuse for not modeling the As-Is process is if you are implementing something brand new and there is no existing process. Otherwise, if a process exists today, model it first. There are compelling reasons for this.

Set the baseline. Before you can measure the effects of your sweeping changes, you must first characterize the present conditions. By using

The same process modeling techniques to characterize today’s as-is state as well as the future to-be state, you have the basis for measuring the effectiveness of your process optimization effort.

See the process. There are three conventional views of a process:

• What you think is going on

• What is really going on and

• What should be going on

These are three distinctly different states of a process, and it is precisely what we are trying to do with Six Sigma. The only way to achieve this is by doing Step 2, mapping what is really going on. Then and only then can we move to Step 3.

F Stimulate closed-loop behavior. Your investment in modeling primes the

Pump for breakthrough performance improvement. To continue the cycle of improvement, your model should be a dynamic, living entity, where at

Any point in time, your model and reality are in sync. Modeling the as-is

Condition from the beginning stimulates this closed-loop behavior. Whither the S1P0C7

A SIPOC is not a process model, and vice-versa. But even if you are rigorously

Process-modeling your business, there is a role for the SIPOC. The SIPOC is applicable as an early-stage tool, and for high-level views of processes.

Simulating a process

Simulation is useful, but it’s static: It makes a process model come alive. A process map by itself just sits there. The process map is the first half of

Process modeling. While there is great benefit to the process map, its benefit

Is further enhanced when we can extend this static view or picture of our work activity into a dynamic view or movie of our work activity.

Simulation is the other half. Once you have mapped a process, simulation isthe practice of stimulating your model into action. Simulation tools are advanced computer-based programs that ingest all the parameters of your model and run dozens, hundreds, and even thousands of trials in your computer. By doing this, you generate simulated real-life outcomes without having

Made a single physical change to the process, and you generate vast amounts of detailed results for statistical analysis.

The more advanced simulation tools animate your process map as the simulations run, tracing for you where your process will operate smoothly and where your bottlenecks are — as they occur. From the act of watching your

Model in action, and then in analyzing the results of the simulations, you can pursue the goal of process optimization. It is an iterative process.

The simulation environment

Simulation requires both a computer and considerable expertise. The programs are sophisticated. You must set up the simulator precisely, with data

Generated specifically for the simulator by the modeler. Fortunately for us,

The advanced software tools on the market perform this task seamlessly. Simulators are demanding computational programs that can require advanced

Understanding as well as capable computers to run swiftly and properly. You

Will want to check the specifications of your computer against the requirements of your choice of simulator. To accommodate less-capable machines, several of the more advanced simulators also contain switch settings that permit you to operate simulations with selected real-time features disabled. All of the same results are generated, but the simulation will run longer and feature less animation.

Configuring simulations

To run a simulation of your process model, you must set a number of configuration parameters. These will typically include the following:

Is Number or duration of runs: You can specify the number of passes through the process that the simulator will perform, or specify the overall elapsed simulation time. The higher the number of runs or the longer the simulation executes, the more statistically representative the results.

Randomization: Many simulators permit the specification of random inputs, which better mimics the variability that occurs in real life. For

This to be effective, you need to understand the nature of the variability in your process inputs.

Patterns: Your process may encounter predictable patterns of variation,

Such as work shifts, days of the week, month-end effects, batch inputs, time zones, distributions, and the like. These can be specified in the

Simulation.

Data storage: Specify the nature of the data to be stored from the simulation. Also, specify the collection of data snapshots, either from elapsed

Time or after specified numbers of runs.

V Interactivity: Some simulators permit you to interact with the simulation as it runs. In this way, you can modify certain parameters and observe the

Resulting behavior. Simulation results

The results of simulations can be startling and invigorating! They are almost always full of surprises. Rarely is the outcome just what you expected. More

Often, simulation results reveal unexpected connections and dependencies that cause you to rethink, redesign, and re-plan your process.

The results of process simulations are usually available in the form of standardized reports generated by the simulator. In rare cases, the simulator

Stores the simulation data in a relational database, but in most cases, the

Data are presented as a list output or a set of canned reports. The more advanced tools permit you to specify custom statistics for additional viewing. The report statistics categories are summarized in Table 11-4.

Most simulators produce only rudimentary reports. Sufficient analysis will require you to export the simulator data to an analytical tool, like Minitab.

Table 11-4_Simulation Report Categories

Category_Purpose_

Time Show overall transaction times, and times per department,

Process, or activity.

Cost Report statistics on costs for all resources, transactions, and

Activities.

Resources Report statistics on resource utilization, time, activities, and

Costs.

Queues Report on bottlenecked processes or transactions waiting in

Queues due to resource, inputs, or other constraints.

Cause-and-effect (C&E) matrix

In Six Sigma, Y=f(x). All outcomes (Fs) are the result of some inputs s) and

The transformations that acted upon them: cause and effect. An effective tool

For the process analyst is the cause-and-effect matrix, known as the C&E

Matrix.

The C&E matrix Is an extension of the C&E diagram or fishbone chart, the brainchild of Kaoru Ishikawa, who pioneered quality management processes in the Kawasaki shipyards, and in the process became one of the founding

Fathers of modern business management. Cause and effect helps the Six Sigma

Practitioner to identify and prioritize the relationships between several inputs and the resulting outcomes. With the C&E matrix, you can identify, explore, and graphically display all of the possible causes related to a problem or condition and search for the root cause. An example of the C&E matrix is shown in Figure 11-5.

You can use a C&E matrix to examine a top-level complex process or system, and you can use it for mid-level, less complex processes and systems. For

Top-level applications, a C&E is used to relate process outputs to the customer

Requirements; it focuses your improvement efforts and identifies projects.

For mid-level applications, the C&E relates process inputs to process outputs and can be used to prioritize tasks and projects.

The system-level software tools that implement C&E automatically database

This information and carry it forward into further activities, including failure

Mode effects analysis (FMEA), control plans, and data collection plans.

Dem’ fishbones

A variation on the C&E matrix is the fishbone diagram, a brainstorming tool used to explore and display sources of variation or influence on a process. With the fishbone diagram, you can quickly create the inputs to a C&E matrix, identifying the key sources that contribute most significantly to the problem

Or process being addressed. The fishbone diagram also serves as an affinity mechanism for relating and categorizing inputs.

A fishbone diagram is so simple that it can be done on a whiteboard, notepad, or even a lunch napkin. However, the software-based tools will also capture,

Categorize, and promote the data for you.

To create a fishbone diagram, you identify the major categories of influence

On an outcome. Within those categories, you list the causes, as shown in

Figure 11-6.

Method

Man

Times – Process Time-Queue Time-Comp Downtime-Freq of Updates -

Figure 11-6:

The aptly-named fishbone diagram.

Holidays – Time of the day-Call Volume -

Carrier Updates Ticket Types

Postal Service – Call Routings -

Computers

PO Damage-Traveler Profiles -

Company Profiles

Training

Self

Internet—

Systems

Resources/Shift— Experience Level —

T1 – Lines-.

Dial up Line Phone Service Maintenance Servers Terminals

Material

Delivery Defects

Machine

FMEA: Failure mode effects analysis

Failure is nasty business. Product failures can mean everything from unhappy customers to harmful outcomes. Process failures result in poor products, lost profits, or both. The failure mode effects analysis is key to reducing or eliminating the risk of failures. The concept was first developed in the aerospace industry. And being from the aerospace industry, it is therefore universally

Referred to in its acronymic form, Fmea.

The FMEA provides you with a structured approach to identifying the potential ways a product or process can fail, how readily you can detect the failure

And the effects of those failures, so you can reduce the risk of either their

Occurrence, or impact, or both. Using the FMEA, you can further prioritize

The actions to be taken to reduce failure risk, and you can evaluate your design and control plans for their robustness to failure.

The FMEA is invaluable in applications where processes or products have safety or security implications, but it is equally applicable to any process or

Product where failures have a material impact on customer satisfaction or measurable business success.

The FMEA is a structured yet simple way of simulating the risk associated

With a particular event occurring. It helps us to find and focus our efforts on

The more significant contributors to our success or failure. It’s an excellent tool to funnel down the most likely contributors or *s to process optimization efforts.

Applications of FMEA include

Is Design FMEA, For analyzing product designs prior to release into production. The DFMEA is conducted early — well in advance of first builds — with a focus on product functionality.

Process FMEA, For analyzing design, manufacturing, assembly, distribution, services, support, and other processes. The process FMEA is

Directed towards process inputs.

F Product FMEA, Addresses failure modes possible in products or projects. t-" Software FMEA, For analyzing failure modes in software applications.

You can build the FMEA from your Process Map, the C&E matrix, or even the fishbone diagram. In any case, the approach is the same: You add three new

Categories of information to the identified failure outcomes or effects, as

Listed in Table 11-5.

Table 11-5_Primary Elements of the FMEA

FMEA Element Definition

Severity of impact Assign a normalized score to the severity of the

Impact in the event of a failure.

Probability of occurrence Evaluate and assign a probability score to the

Likelihood that the failure will occur.

Likelihood of detection Assign a probability score to the likelihood that

The current controls will detect the causes and therefore prevent either the failure itself or its effects from having impact.

Armed with these data, you are positioned to critically analyze the failure

Modes in your system, process, and products. The analysis phase of the FMEA

Is the process of determining probabilities and ranking the results. One of the primary indicators is the risk priority number (RPN). The RPN is simply the

Product of the three elements:

RPN = severity rating X Probability rating X Detection rating

Idiot-proofing

A Japanese manufacturing engineer at Toyota

Named Shigeo Shingo is credited with creating

And formalizing an approach to quality management called Poka-Yoke (pronounced "PO-kah YO-kay), which loosely means Mistake-proofing

(the literal translation is to avoid inadvertent

Errors). Poka-Yoke is used to prevent the inadvertent causes that result in defects, mostly

Using simple, low-cost methods for prevention.

A Poka-Yoke device is any mechanism or procedure that either intercedes to prevent a mistake from being made, or makes the mistake so

Obvious as to eliminate it. Poka-Yoke efforts or

Devices make it nearly impossible to make a mistake. They are especially relevant where

Humans are part of the process effort, because humans sometimes inadvertently forget or are likely to do things differently on occasion.

Examples include such everyday tools as lockout mechanisms, electrical connectors that are specially shaped to prevent reversed plug-in, and overflow prevention systems. The fact that your car’s gas tank has an inlet smaller than the

Size of the filling nozzle, preventing you from

Putting leaded gas into your car, which requires unleaded gas, is an example of Poka-Yoke.

For each failure outcome, you can plot the RPN in a Pareto chart, like the one in Figure 11-7. With this, you can see instantly where you should focus your

Attention.

The RPN is a primary indicator, but it is not the only important output of an

FMEA. It’s vital for you to consider the relationships between all the elements, including severity, probability, and detection, as well as cause, actions, conditions, and other circumstances. Because failure, by definition, is unwanted, you turn over every stone in your FMEA.

The outcome of the FMEA leads you directly to examine your fundamental

Designs, funnel reports, control plans, and data collection plans. Once you

Have updated these, you run the FMEA again — and again — until your failure

Risk profile is within acceptable tolerances.

KISS and tell: Capability-complexity analysis

Remember KISS? No, not that 1970s rock band, but that elegant acronym of simplicity: Keep it simple, stupid. Why do we say that? Because the simpler

You keep things, the fewer chances there are for something to go wrong. Everyone knows that.

At the same time, what about those special people who seem to be extra

Capable and can seemingly handle anything, no matter how much you heap on them? They don’t have as much trouble with the extra load. It’s obvious

That the more capable you are, the more you can handle.

When you put those two concepts together in the context of complex products and processes, it leads you to examine the precise relationship between

Complexity and capability. In Six Sigma terms, we can define, measure, and control both the complexity of our products and services as well as the capability of our processes. So, where’s the point of optimization?

F How capable must our processes be to handle the complexity in our

Products and services?

V How complex can our products and services be in order to handle them with the capability of our processes?

Is If we’re going to introduce new complexity into our products, how much must we ratchet up the capability of our processes to handle it?

Is If we introduce new complexity into our products and services and don’t ratchet up the capability of our processes, what’s the increase in our

Defect rate?

These are vitally important questions, and, to answer them, the Six Sigma practitioner applies capability-complexity analysis (CCA) in the pursuit of

Process optimization. Your process mapping and modeling depend on the balance of settings in a CCA, as do the C&E analysis, FMEA, and other tools.

Because the calculations required to compute the quantitative values of a

CCA involve the manipulation of multiple variables simultaneously, it is ideally suited for computer-based application software. A CCA program solicits your input for complexity parameters about your product or service as well as capability and control parameters about your sigma capability, static

Mean offset, and dynamic variation expansion factors. It will then compute your short – and long-term defect rates and yields per-element and per-unit.

An example CCA display is shown in Figure 11-8.

The more advanced CCA tools will permit what-if analysis where you can set outcome metrics and determine what changes in process capability or product complexity are required to achieve them.

Figure 11-8:

Capability-complexity analysis.

Funnel reports

^BE» Six Sigma is all about finding those Critical few Influencers out of the Trivial

4y^\ Many Candidates that affect the outcome. The number of possible contribu -

( iMl ) Tors can be extremely large at the beginning of a process optimization or

\UJ|/ Problem solving effort. In fact, it sometimes seems so overwhelming that we

Are de-motivated to solve the problem.

Six Sigma to the rescue. Inherent in the Six Sigma methodology is a process called variable reduction. Six Sigma is almost automatically reducing the number of contributors or funneling the *s to find the so-called "critical *s" or "vital causes." When you have these, you have the basis for obtaining

Breakthrough performance improvement.

Funnel Reports help you filter through the trivial many, extract the critical few, and manage them. The sources of information for the funnel report come

Primarily from the CT trees, C&E matrices, and FMEAs. The more advanced

Software tools will import these automatically. In the Funnel process, each candidate is subjected to a set of analytical and statistical considerations,

Which serve as tests to qualify if the cause is vital.

The outputs of the funnel report are considered to be the most likely causes

Of our problem or process deficiency. The next step is to further funnel down this list into the actual root causes using statistical inference and other experimentation tools.

Plans

The Six Sigma practitioner produces and manages a set of plans that affect the

MAIC elements of the breakthrough strategy. The data collection plan ensures

The measurements. The control plan ensures management of the critical *s,

And the audit plan addresses the ongoing monitoring of the vital causes.

Data collection plan

The data collection plan provides a concise and focused set of directives and

Actions required to collect all necessary data associated with a process or within a Six Sigma project. The data collection plan can be voluminous, in that it addresses not only the content, but the reliability, availability, and

Presentation or formatting of the data.

Identifying the information at a high level can come from a number of sources,

Including the process model, the CT tree, the C&E matrix, the FMEA, and the

Funnel report. The more sophisticated Six Sigma software applications will populate a data collection plan template directly from these other tools. The data collected feed both the control plan and the audit plan.

The more elusive goal is in the manner by which the data themselves are collected. You will almost certainly need to work with members of your Information Technology team to determine how best to gather the data

Properly. The issues you need to address here include:

F Data sources: You’re best off if you can get the data directly from the point of origin, as generated — and verified — by the originator.

V Data timing: Transactional data from operations changes regularly. The timing of when you pull the data is as critical as the data itself. Getting the right data at the wrong time leads to bad data.

F Data stability: People change the basis of operational measures regularly and without notice. This is a configuration management problem — assuring that the definition of the data you’re depending on doesn’t

Change out from under you.

Data format: The physical formatting of data is critical. Be certain to

Identify how you want the data to be formatted in your collection plan.

F Data transfer: Specify how the data is to be shipped to you. By far the best way is for an automatic extract and transfer to occur on a scheduled basis. By far the most common way is for someone to periodically e-mail you some sort of extract. Press hard for the former.

Your plan will include all of the above and should be agreed to formally by all

Involved parties.

You’d be well served to apply some of these Six Sigma process tools to the process of data collection. The validity of your process optimization effort is only as good as the data upon which your decisions are founded. Data is a slippery beast; don’t underestimate the effort required to do it right.

Control plan

Based on the fundamental concept of Y=f(X), If you can control the Xs that dominate the outputs of interest (Y), you will have an improvement that

Lasts. The control plan directs your focus on the vital cause critical XS and ensures all participants understand the activities, items, and specification

Limits required for your process to be in control. The control plan is a proactive

Effort to assure long-term performance and also a call to action if a triggering event occurs, indicating the process performance is deteriorating.

Your control plan (see an example in Figure 11-9) is a key Six Sigma management tool. It’s a one-stop reference view of all the vital contributors to the

Success of your process, and it contains sufficient detail to exercise sharply-focused management controls.

Manage your control plan closely. Solicit broad support from management and affected contributors, including approvals and signoffs. Manage configuration changes to the plan closely as well, coordinating changes officially. If

Everyone operates according to this plan, you will be successful. Make it

Happen! Audit plan

The audit plan acts as the measurement tool for the control plan. When your control plan is in place, the audit plan is your means for regular measuring and monitoring of the outcomes.

Statistical Analysis Tools

At the heart of Six Sigma are the statistical tools (see Table 11-6). These enable the Six Sigma practitioner to first analyze practical problems statistically, and then to craft statistical answers that enable breakthrough practical

Solutions. The statisticians who pioneered Six Sigma forged the developmental application of these tools through grit and determination. Today, with the

Benefit of powerful desktop software applications, we merrily point and click

Our way through.

This section is an overview of the suite of Six Sigma statistical analysis tools and will show you which tools are applied in practice. These are the tools used traditionally by the Six Sigma Green Belts and Black Belts. Refer to Chapters 5 and 6 for the theory behind the application of these tools.

This section is not a tutorial on the statistical analysis tools of Six Sigma.

That’s a whole textbook in itself, and you have to invest in Belt training to master the applications! This general overview of the tools will show you where you should use them.

Table 11-6_Six Sigma Statistical Analysis Tools

Stats Tool Role

Basic stats The basic and descriptive statistics, such

As averages, ranges, variance, and so on, used routinely in Six Sigma analysis

Plots and charts Histograms, Pareto charts, control charts

Time series Specific tools for analyzing results of data

Collected over time — trends, decompositions, moving averages

ANOVA (analysis of variance) Analyze variances, test for equality of vari -

Ances, and determine whether there is a valid relationship between variables.

Tolerance analysis The analysis of margins and tolerances to

Determine optimal design specifications

DOE (Design of Experiments) Systematically investigate the process or

Product variables that affect product quality

Process capability analysis Determination of the capability of a process

To perform to expectations. The output is a numerically defined index of capability.

(continued)

Table 11-6 (continued)

Stats Tool Role

Regression Determining the strength of the relationship

Between a response variable (Y) And one or more predictors (Xs).

Multivariate analysis The analysis of data from multiple measure -

Ments on various items or subjects. The output is a graphical picture of the various

Relationships.

Exploratory analysis Methods used to explore data before apply -

Ing more traditional statistical analysis tools

Measurement Systems Analysis The analysis of the measurement system to

Determine the accuracy and precision of

The data obtained from the measurement.

Reliability and survivability Accelerated life testing, lifetime characteris -

Tics analysis, growth curves

The basics

At the root of Six Sigma is a set of statistical tools that drive most of the analytical activity, underlie the higher-level practices, and dominate the walk and

Talk of the Six Sigma practitioner.

In the practice of the statistical analysis side of Six Sigma, these tools are

Required fundamentals. You must understand them and be comfortable with

What they mean and how to use them. The good news is that you needn’t

Actually perform any of the calculations manually; they’re all done for you

By application software programs on your computer. Refer to the "Platforms and Protocols" section in this chapter for the overview on the applications

Software.

A picture’s Worth a thousand… dollars

Time is money. Plots and charts are a fast and powerful way to help you interpret and communicate the data. To get the message, use pictures — and lots

Of ‘em! Plots and charts can turn masses of unintelligible data into coherent information that leaps off the page and smacks you with the message. The

Most commonly used plots and charts are summarized in Table 11-7.

Table 11-7_Plots and Charts_

Plot or Chart_Description_Example

Histogram A bar chart that plots the spread of data

Into bins according to frequency of occurrence, immediately suggesting the

Distribution function.

Dot plot A type of histogram where data are

Displayed in a single-point format; used to assess a distribution or compare distributions.

Pareto chart A bar chart in which the bars are ordered

From highest to lowest, showing the critical

Contributors.

Scatter plot Shows the relationship between two

Variables, immediately conveying the nature of correlation.

Matrix plot A matrix of scatter-plots, showing the

Relationships between many pairs of variables at the same time.

3D scatter plot A three-dimensional scatter plot, useful for evaluating the relationships between three different variables at the same time.

Interval plot A two-dimensional plot of data values with

Added confidence intervals or error bars; useful for showing both the central tendency and the variability.

Box plot A side-by-side comparison of sample

Distributions. By convention, the central line is the mean, the boxes are ±25%, and the lines are the limits.

CDF (cumulative A stepped cumulative histogram (without distribution bars), overlaid with a best-fit normal

Function) plot cumulative distribution function. Used to

Fit a distribution to your data.

(continued)

Table 11-7 (continued)

Plot or Chart_Description_Example

Probability plot A scatter plot, overlaid with a CDF cumulative probability line. Used to determine how closely a particular distribution fits your data.

Time series plot A plot of data spread over time. Used to evaluate patterns in activity across time. By convention, time is plotted on

The x-axis.

Marginal plot A scatter plot with an added histogram

(or sometimes a box plot), used to assess the relationship between two variables and their distributions.

As powerful as the software applications are in crunching the statistical data in the first place, they really shine in creating these plots and charts for you. All the application programs on the market today will generate these types of plots and charts from the data automatically, with simple menu selections. They further will provide numerous plotting and charting options, including everything from curve and data fits to labels and legends and even colors

And fonts.

The time machine

Most human activity is measured, reported, and valued over time; hence, Time-Series Analysis Is closely correlated to the management and measures of performance improvement. Numerous Six Sigma statistical analysis tools are dedicated to time-series examination of every phase of a process. These include the following:

Is Trending: Fit a general model to past data and observe the trends. t-" Forecasting: Simple forecasting and smoothing methods help you

Decompose data into its component parts, and then extend the estimates into the future to predict ongoing performance.

Is Decomposition: Separate seasonal or cyclical trends into groups and

Profile repetitive performance.

V Moving average: Average consecutive observations and observe the trend over time. A pattern recognition tool called ARIMA (AutoRegressive Integrated Moving Average) can help you find patterns that may not be

Visible in plotted data.

Exponential smoothing: Smooth the time-series data using ARIMA and calculate the average level and, optionally, in a Double Exponential

Smoothing, both the average level and trend.

Autocorrelation: Discover repeating patterns in time-series data. Cross-correlation: Compute, plot, and discover the relationship

Between two separate time series.

Analysis of Variance: ANOVA

Because variance is one of the fundamental principles of Six Sigma (see Chapter 5), the analysis of variance is a major field of Six Sigma application. Analysis of Variance is so significant in both Six Sigma and in general statistics that it warrants its very own acronym: ANOVA.

ANOVA tools include such analytical marvels as: one-way and two-way analyses (variance testing with classification by one or two variables); Analysis of Means (test the equality of population means); balanced ANOVA (accounting for data collected by different designs or procedures), also sometimes referred to as the General Linear Model; fully-nested ANOVA (estimating the variance component for each response variable); MANOVA (multi-variate analysis of variance, for simultaneously testing the equality of means from different responses);

And the test for equal variances (determines the variance difference between

Samples from populations of different means).

All that’s a mouthful, but don’t despair; once again, software to the rescue!

Allof these tools are defined and executed in each of the major statistics applications programs on the market. These packages walk you through

These tools, holding your hand every step of the way. No sweat.

If the shoe fits…

One of the great challenges in this world is getting the right fit. The pen cap

Doesn’t stay on the pen; the lid doesn’t close on the jar; the door leaks air; the

Paint runs across the line. Things are too tight, or too loose, or off the mark.

How does this happen? It’s not because they were intentionally designed that way. It’s because the design didn’t take into account the combination of variations in manufacturing the different components.

Tolerance analysis Is the statistical analysis tool that helps you determine the

Right specifications and limits on individual parts and components to ensure

That they fit together properly as a system once manufactured. It’s treated as an advanced topic, as part of the field of Design for Manufacturability (DFM), and is usually taught in the advanced Design for Six Sigma (DFSS) courses.

Apply Tolerance Analysis in cases where parts or components must come together precisely for the system to function properly in satisfaction of the

Customer’s expectations.

Design of Experiments

Most people know DOE as the Department of Education. Well, in the Six Sigma case, that’s just about right, because in Six Sigma, DOE stands for Design of Experiments, A highly educational activity. Use DOEs to statistically

Investigate the variables that influence a process and the resulting quality of

Products and services in an experimental setting. You are then in position to effectively interpret the results and direct improvement efforts to enhance

The process in the production environment.

A DOE also allows the practitioner to simultaneously understand the effects

Of changing the settings of multiple variables. Without DOE you’re reduced to performing what we call OFAT experiments, which stands for one factor at a time. OFATs cannot detect the interactions that occur between variables. Besides, watching one-factor-at-a-time experiments takes forever.

Experiments are vitally important tools. They permit us to prototype, evaluate,

And test our hypotheses in controlled settings before unleashing them in the real world. Experiments are critical risk-reducers and confidence-builders.

They are a footbridge between models and reality.

Because of this keystone role, experiments must be done right. Time and resources for experiments are always limited, because people are impatient and see an experiment as a hurdle. Therefore, if you’re conducting an experiment, it’s very important that you get the most out of it. Well-designed experiments

Will yield much more useful results than tests that are casually thrown together. In fact, poorly defined experiments may yield the wrong results!

Experiments are mini-projects unto themselves. They consume resources, including personnel, equipment, and materials. They cost money and time. And because so much is riding on the results, they deserve the care and attention that any project or program would receive.

1. Define the problem.

Strictly define — in quantitative terms — the nature of the problem that you intend the experiment to clarify or solve.

2. Define the objectives.

Be certain that your experiment is focused on yielding specific, practical, and useful information.

3. Design the experiment.

Using the many available DOE tools, design a robust experiment that will satisfy the objectives.

4. Develop the plans.

Thoroughly analyze the environment, the background, and the conditions that will guide and constrain the experiment, and develop a plan that will

Meet the objectives with the time and resources allotted. Develop a Data

Collection Plan that ensures you have the measurement systems in place to capture all the required information, and a Data Analysis Plan that ensures you have accounted for the work required to properly interpret

The results.

Well-honed through years of experience, Six Sigma practitioners have defined a suite of tools to aid you in developing your DOE.

V Factorial designs: Factorial designs help you study simultaneously the effects that several different factors may exert on your process or product. This improves experimental efficiency, by enabling you to vary the levels or settings of parameters simultaneously during the experiment.

F Response surface designs: Response surface designs help you examine

The relationship between one or more response variables and a set of

Experimental variables. This approach is particularly useful after you’ve determined which parameters constitute the "vital few," and you want to

Find the settings that optimize the output.

Taguchi designs: Named after Dr. Genichi Taguchi, who is widely regarded as the foremost authority in robust parameter design, Taguchi experiment

Designs help you find the settings that permit your product or service to

Operate consistently over a variety of conditions.

Ho© capable is your process?

Process capability analysis is the next of kin to statistical process control

(SPC), and is how you determine if your process, once in control, is also

Meeting specifications. Process Capability Analysis is a critical component of the Six Sigma methodology, and Six Sigma practitioners calculate a variety of indices and measures and draw numerous plots and charts to assess and

Optimize process capability.

In summary, capability analysis takes the voice of the process (VOP) and compares it to the voice of the customer (VOC) to see if it is capable of meeting the requirements.

We cover the definition of Process Capability at some length in Chapter 6. The tools for process capability analysis are extensive. We’ve listed the most commonly applied tools in Table 11-8.

Table 11-8_Process Capability Analysis Tools

Tool_Application_

Normal analysis Analyze process capability when the data are

From a normal distribution.

Non-normal analysis Analyze process capability when the data are

From a non-normal distribution.

Between/within analysis Analyze process capability for between -

Subgroup and within-subgroup variation.

Multi-variable analysis Analyze the capability of an in-control process

When each of multiple continuous variables follow a normal distribution.

Binomial analysis Analyze the process when the data are from a

Binomial distribution — when examining the number of defective items out of the total number of items sampled.

Poisson analysis Analyze the number of defects observed, where

The item occupies a specified time or space.

Capability six-pack An set of six charts, which collectively contain

Key process capability metrics. An example Six-Pack is shown in Figure 11-10.

Figure 11-10:

Process capability six-pack.

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Regression

Regression analysis Is used to discover and characterize the relationship

Between a response and one or more predictors. In regression analysis, you fit models or distribution functions to observed data. And depending on the

Data, this can lead you to a variety of functions.

The goal of regression analysis is to fit a line and create an equation to explain

Or predict the way your process output is behaving. As an example, imagine plotting your car’s gas mileage for different driving speeds. We all know intuitively that the faster we drive the lower the gas mileage, but could you come up with an equation to predict your car’s mileage as a function of its speed?

Yes you can. Regression analysis helps you do it.

Fitted line: For when the best fit to the data is linear or logarithmic.

Derivatives include second-order (quadratic) and third-order (cubic) fits.

F Least squares: When the response variable is continuous.

F Partial least squares: When the predictors are highly correlated or if they outnumber our observations.

V Logistic: Used with categorical response variables. There are three types: binary (two levels), ordinal (three or more levels), and nominal

(no natural ordering of the levels).

F Stepwise: A technique of removing or adding variables to the regression model in order to identify a useful subset of the predictors.

V Best fit: Examining all the subsets, identify the best-fitting models that

Can be constructed with the specified predictor variables.

Multivariate analysis

Quite often, you will have multiple measurements on a given item or subject. Multivariate Analysis helps you understand the structure in this mix of data.

It helps you assign different observations to statistically-significant groups

And visually explore the relationships among the grouped variables. Multivariate analysis Begins with applying tools to understanding the covari -

Ance structure in the data. Principal component analysis and factor analysis are two methods for helping you determine structure, alignment, and dimensions of the variables within the data. Grouping tools then help you aggregate data. These tools include data clustering from similar observations, clustering of variables, grouping by known similar averages (called K-means), And grouping by comparison to a sample group (known as discriminant analysis).

When you have statistically segmented your variables, multivariate analysis

Explores the relationships among them.

F Simple correspondence analysis Explores variation between two variables.

F Multiple correspondence analysis Extends the process of simple correspondence analysis to the case of three or more variables.

Exploratoru analysis

Sometimes, you’re not quite sure where to begin or which statistical tools you should apply to a given situation. Sometimes, you’re not sure which tools apply — or if any of the traditional tools apply at all. That’s okay! A variety of Exploratory analysis Tools let you examine data in nontraditional ways, giving you the ability to work outside traditional boundaries and see your data in a different light. A sampling of these tools are summarized in Table 11-9.

Table 11-9_Exploratory Data Analysis Tools

Tool_Application_

Stem-and-leaf A quick way to examine the spread and shape of your

Data.

Box plots Assess and compare sample distributions (see exam -

Ple in Table 11-7).

Letter values Assign data into broad buckets.

Median polish Analyze variance relative to the median instead of the

Mean.

Resistant line Fit a straight line to your data while ignoring the

Outliers.

Resistant smoothing Smooth your data, removing random fluctuations,

Before examining trends.

Rootogram Plot your data up as a histogram, fit a normal distribu -

Tion to it, and examine how closely the data fit or deviate from the normal distribution.

Measurement systems analysis

All the emphasis on the collection and analysis of data begs the obvious

Question: How good is your measurement system? If your measurement

System is faulty, your data is faulty, in which case your analysis is no good, and

You may as well put your plans to better use on the bottom of the bird cage.

Measurement systems analysis Is the practice of determining the extent to which observed process variation is due to variation in your measurement systems. Any time you take measurements, you will encounter variation. Thesource of this variation is two-fold:

Real variation in the actual process Imperfections in your measurement system

Measurement system errors are classified into two broad categories: accuracy and precision. With most measurement systems, both errors are present.

Accuracy

Accuracy is the difference between your observed measurement and the true value. Three sources contribute to accuracy error:

Is Linearity Is a measure of how the observed error is somehow related tothe size of the measurement. If your measurement is accurate in the middle of the measurement range, but not for very large or very small measurements, you have linearity error.

V Bias Is the condition when your measurement system is skewed — like when you dial the zero value on your bathroom scale down a few pounds before stepping on to check your weight!

V* Stability Is the tendency of your measurement system to vary over time

Or some other condition, such as temperature or humidity.

Gauge Linearity, Gauge Bias, and Gauge Stability studies help you analyze measurement systems accuracy issues.

Precision

Precision erroris the condition of observing variation from measurement to measurement, or from part to part. The two components of precision error are as follows:

F Repeatability: Variation in the Measuring device. All other conditions

Being equal, there is variation in the measuring device itself.

F Reproducibility: Variation in the Measurement system. The device performs properly, but the system of measurement — including the procedures, human error, and support systems — introduce variation.

Gauge R&R (repeatability and reproducibility) studies help you determine

The extent to which device and process variation contribute to your overall measurement system variation.

Back to the future

Reliability and survivability analysis Helps you use all the measurements and data from the past to predict what is most likely to occur in the future.

F Develop tests that demonstrate compliance with reliability specifications to specified confidence levels.

V Determine the number of tests needed to develop precision estimates of percentiles and reliabilities.

Is Define criteria for accelerated life tests to determine the relationship between failure time and key predictors.

Platforms and Protocols

Throughout this chapter, we’ve been telling you that the many tools and methods of Six Sigma are nicely encapsulated in application software packages,

Available for your immediate use. It’s true. While the statisticians, analysts,

And progenitors of Six Sigma were busy refining the methods and tools of Six Sigma, so, too, were the software programmers. The Six Sigma software marketplace is now brimming with well-tuned packages. Every tool we address in this chapter is programmed into a number of nicely designed software products. And what’s more, they’re relatively inexpensive, and easy to use.

By and large, the software programs follow the tools: process optimization

And statistical analysis. As the software matures, the overlap is increasing, but the areas of expertise are well-established.

Software products

It’s a crowded field. By our last count, over 120 commercial software programs supporting Six Sigma process and statistical analysis were available on the market. Many of these come from small shops with niche products for specialty

Purposes. As Pareto would have it, however, the market is led and dominated

By the critical few larger and very professional organizations, who bring solid and fully capable commercial-grade application software products to a demanding market.

Statistical analysis software

The leaders in Statistical Analysis software include the following:

Is Minitab: The undisputed leader. Minitab is taught extensively in colleges and universities, used extensively in major corporations, and fostered universally by Six Sigma consultancies. In its 14th release as of this writing, Minitab is packed full of features and is completely capable of stellar performance for you on every statistics tool discussed earlier in this chapter. It runs only on a PC.

JMP: From the prestigious SAS Institute, JMP (pronounced Jump) Is a

Professional statistics package that rivals Minitab in its features and capabilities. Its greatest advantage is in its multi-platform support: JMP runs on Windows, Macintosh, and Linux.

Is Excel: Yes, as in Microsoft Excel. That ubiquitous spreadsheet program that comes on nearly every PC is also a powerful computational and display program, and it’s used extensively in Six Sigma statistical analysis

Applications. Unlike Minitab and JMP, you have to program Excel to perform the calculations, but there are also a plethora of software companies that sell Excel add-ons and extensions for statistics.

Process optimization software

The Process Optimization space is much broader — and younger — than the

Statistical analysis market, and no one software program does it all. You have

To be willing to piece together your solution from several different software vendors. Following is a short list of leading software companies whose products support the core process tools. They all run on the PC platform, with a

Few exceptions.

Process tools are categorized in two classes:

V Business Process Analysis (BPA) Tools enable you to model and map processes, simulate how they’ll work, and analyze the results.

Is Business Process Management (BPM) Tools enable you to connect with

The information systems in your business and provide process measurement and control functions.

The leading tools in the process management arena are:

Traxion: From CommerceQuest. Traxion is a complete BPM tool, with modeling and simulation capability, similar to iGrafx and SigmaFlow. But Traxion has the unique additional capability to collect information out

Ofyour operational environment and give you feedback on your performance in real time. This so-called "closed loop" solution integrates your Six Sigma design and simulation with the measurement and control systems in your business. More on this in the "Technology architectures"

Section.

V IGrafx: The iGrafx mapping and process simulation software is by far the most widely used full-featured process analysis tool in the marketplace. As a company, iGrafx has bounced around, and as of this writing, it’s a division of Corel, Inc. But the iGrafx pedigree goes back nearly 20 years, and the product set is well-regarded as the BPA leader.

SigmaFlow: Although a relative newcomer in the market, SigmaFlow is

Earning fans through its more business-focused approach to modeling

And simulation. It’s fully integrated internally and automatically populates one tool with the information and output from another.

Visio: Surprisingly, a lower-level tool from Microsoft is a major player in the Six Sigma marketplace. Visio has long been used for drawing process maps. No detailed model attributing or simulation, though.

Is Varyx: From Savvi International, Varyx is the only Tolerance Analysis software on the market. A niche player, but with a powerful and important product. In the interest of full disclosure, you should know that two

Of your authors work for Savvi. But we still recommend these tools!

3-Cs Explorer: Also from Savvi International. Capability-Complexity Analysis is made simple with the 3-Cs Explorer analysis and display.

Technology architectures

Software is complicated stuff. Beneath the covers and underneath all the windows, dialog boxes, drop-down menus, and snazzy reports of commercial

Application software swims an ocean of program code. Software programs are

Developed according to an architectural design, and a program’s architecture dictates how the code will perform, what types of computing environments it will work in, how it can interact with other programs, and how accessible its

Functions and data will be to the outside world.

You must be aware of the implications of the architectures in the software

Products you consider for implementing the tools of Six Sigma. These products have been built to a range of architectural models, and while many may have similar features, underneath they’re different and may not suit your

Application. This section addresses these differences and gives you some guidance to help you choose the right solutions.

PC-Windo©s

With a few notable exceptions, most of the programs for Six Sigma process optimization and statistical analysis have been developed exclusively for the PC-Windows operating system. They run on PC-Windows computers only. If you have Macs or Linux systems in your environment, these PC programs will

Not run on them. But that may be okay. If you’re operating in a PC-Windows

World, these tools may be sufficient.

Few company environments are this monolithic. For this reason, most of the statistical analysis programs have import and export capability, so they can

Move data into flat files or Excel files. This permits users in other environments

To generate or view the results. The Excel file type is used as a universal translator in this manner.

The gotcha with PCs is that many PC programs operate as standalone systems, and provide little by way of connecting or operating with other people or systems. E-mailing data files back and forth gets really old, and file-sharing is

Cumbersome, error-prone, and difficult to manage. In short, the PC desktop

Environment by nature often works against your Six Sigma philosophy and

Goals.

This is what’s known as Functional sub-optimization — the tool may be great for

You, but it doesn’t help you work well with others. The solution to the sharing problem is in what’s known as enterprise technology, addressed later in this section and in Chapter 12.

Mac and Linux platforms

These two main platform alternatives to PC-Windows have been classically

Under-served by the Six Sigma tools market. Very few providers have offerings for these platforms, with the exceptions of Microsoft Excel and the very capable JMP statistical analysis product. JMP is what’s known as a cross-platform

Tool; it runs on all three desktop platforms — PCs, Macs, and Linux. If you

Arein a mixed-platform environment, JMP is a viable solution you should strongly consider.

Using a mix of platforms can also present problems when you want to share

Information and work in a team environment. Typically, the architects of Mac

And Linux solutions include more integration and connectivity, but many programs offer you little more than the chance to e-mail your data files around. Remember that you can always run PC programs through emulation software on the Mac. It’s not pretty, but it works.

Enterprise platforms

The solution to the challenge of working together with computers is provided

By what’s known as Enterprise technology. Enterprise systems are designed for interoperability — permitting people to fulfill their business and functional

Roles while interacting with a coherent system of information management.

Large software systems have been built this way for decades.

The Six Sigma technology and tools industry grew up in the PC era, and as a

Result, precious few of the process or analysis tools have been crafted to an

Enterprise architecture. (Note that this is Not The case for the management

Tools, which have mostly been developed to an enterprise architecture. This is discussed further in Chapter 12.) All the integration and interoperability in enterprise systems comes at a price, however. It usually also means that each user makes some personal sacrifice, in terms of performance or independence,

For the greater good. But if your business environment requires extensive

Sharing of analytical or process information in a controlled manner, look for

Enterprise solutions.

The best way to recognize an enterprise software solution is the user interface. Most enterprise systems are accessed via a Web browser like Internet Explorer or Mozilla Firefox. The programming logic and the database of information

Reside across the network somewhere, rather than on your local machine.

Chapter 12

Mastering Six Sigma Manner Tools

In This Chapter

^ Assessing your Six Sigma management tool requirement

^ Exploring the different types of Six Sigma Management tools

^ Understanding where and how Six Sigma Management tools are used

Finding out about available management tools and technologies you can use

The only thing more important than practicing Six Sigma is managing Six Sigma. You think it’s important to understand all the technical practices

And analytical tools? It is, but it’s even more important to manage resources (people), schedules, and budgets — and to be accountable for bottom-line

Results.

Managing Six Sigma projects and programs requires that you understand your

Area of application as well as the use of process methods and tools. But it also

Requires you to apply your methods and tools of the management process. These tools support your need to manage the many interactions between multiple contributors, who occupy different roles in the organization at many different levels. The tools must also support the complex technical interactions between information systems. We suppose that’s why the managers get

The big bucks.

In this chapter, you discover the methods and tools of Six Sigma management.

These begin with program leadership tools and include project definition and tracking, as well as business reporting. In addition, this chapter covers the tools you need for accessing reference information. The chapter concludes with a look at knowledge transfer systems and the emerging world of online learning.

The Manager’s Toolkit

To be a successful Six Sigma manager, you must not only understand Six

Sigma but also be skilled in the methods and tools of project management.

A Six Sigma initiative is an endless series of projects — of various sizes and shapes — cascading together in a programmatic fashion, creating an unending stream of breakthrough improvements in business performance. These improvements are made one project at a time, and each project is an encapsulated universe of Six Sigma activity unto itself.

The Six Sigma manager’s toolkit is, therefore, a set of project and people management tools in a portfolio. These tools are inspired by leadership, enabled by infrastructure, tailored to the Six Sigma methodology, and implemented through technology. Some of these tools are relatively straightforward, such

As tools to help you manage project deliverables and tools to help you remember how to do Six Sigma. Others are more involved, like tools for tracking and

Communicating critical business indicators, and those for helping you manage cost and schedule.

Unlike the tools used by practitioners, where most are used in an individual, standalone fashion, most management tools have a focus on integration and communication. Management systems must robustly link the daily work products of many individual contributors. As such, Six Sigma management tools are typically built to an enterprise information architecture, with core data repositories and shared access to the application logic, thus minimizing operational error. To be sure, plenty of management tools are integrated via Sneakernet—the practice of running files back and forth (usually with e-mail) — a practice that begs for error. In any case, management tools provide specialized information access and control to each of the constituents with a stake in the success of the initiative.

The management process is a little different for Six Sigma than it is for most other activities. Managing scope, schedule, and budget is still the manager’s job, but there are specific methods and tools in the case of Six Sigma. You

Want to integrate existing management tools and the knowledge you currently possess with specific management tools you need to make Six Sigma

Easier and more beneficial.

The qatteru

At the management level, everybody’s watching and listening. And asking why.

Six Sigma management tools support each of these constituents, including both participants and spectators:

Executive management: Because most Six Sigma initiatives are strongly and directly endorsed by executive management, tools must support the

Executives and provide them the information and interaction needed to continue their endorsement.

F Six Sigma champions and Deployment Leaders: Champions are steering the overall Six Sigma initiative and are accountable to the executives

And the operational business units for the results. They’re in the cat-bird seat, must have a direct line of sight on people and projects, and must

Constantly know the pulse of the Six Sigma activity.

F Financial executives: Because Six Sigma projects contribute directly to the bottom line, their performance is of great interest to financial managers, who want to maintain close touch with their progress and results.

F Process Owners: These managers own the profit and loss (P&L) or the budget and productivity of the processes that either support or deliver

The value proposition of the company. Process Owners must have immediate access to the information and rationale behind any changes in

Order to support and implement those changes.

C Black Belts: Black Belts are the team leaders of major Six Sigma projects.

These are the projects with the most complexity, difficulty, and the greatest impact and return to the business. As team leaders, Black Belts use project tracking and management tools as well as the process optimization and statistical analysis tools discussed in Chapter 11.

V Green Belts: Green Belts have traditionally acted as support staff but they also act as project managers within their areas of responsibility. When acting as Six Sigma project managers, Green Belts use similar tools

As Black Belts with a lower level of analytical prowess.

Is Yellow Belts: Six Sigma initiatives affect everyone in the business, and

The successes and performance of these initiatives are communicated to

Everyone in the company. Training and reporting tools are used by Six Sigma managers to involve and inform the staff, and by the staff to initiate new projects and participate in existing ones.

Suppliers: As suppliers become more integrated into business processes

And enabled by the enterprise architecture in many of the management tools, Six Sigma tools securely enable the management of vertical value

Chains.

F Customers: The external customer is the customer who pays for the product or service that we deliver. Management is ultimately accountable to the customer and uses the tools and techniques of Six Sigma to

Direct improvements on behalf of the customer.

Types of management toots

Because the constituencies served in the Six Sigma process are such a broad

Set, the tools of management are a diverse lot. In total, these are the tools of communication and leadership, project management, reporting, knowledge management, and learning.

Communication and leadership: Communication and leadership tools

Are both formal and informal: company Intranet sites, video messages,

Letters and memos, reports, and other messages. And don’t forget the most important leadership tool: face-to-face contact.

F ProJEct management: Management tools include everything from the

Capture of ideas into project assignments, staffing, budgets, and performance. The more advanced tools include multi-project and cross-project portfolio management in a shared enterprise architecture.

F Reporting tools: These are tools that query data and create reports

Provide standard and repeatable ways to communicate detailed information. These reports include tables, plots, and charts of analytical and

Process performance data. These are combined with budgets, schedules, resources, and business-impact information to create comprehensive

Pictures of project and program status, progress, and trends. When

Aggregated together, these tools are typically called dashboards. Is Knowledge management tools: These tools are extensive collabo -

Rationtools, granting individuals and teams access to information

Repositories. By having access to the right knowledge at the right time,

Managers and practitioners can expedite their return on improvement investment.

Learning tools: Beyond traditional training, learning tools provide direct, just-in-time, and lower-cost training to individuals, teams, and companies. These tools are critical enablers for the job of training large

Numbers of people in the concepts, ways, and methods of Six Sigma.

Because these tools integrate people, functions, and systems, utilities known as Application Integration tools help tie together and share the information

They generate and use. A class of these utilities, called Enterprise Application Integration (EAI), or Middleware, Helps you move data between and among

Not only these management tools, but also between and among transaction systems, including customer management, accounting, design, and shop-floor systems.

Through the Looking Glass

After you get the basic concepts of Six Sigma, you’re changed forever. You’ll have insights and vision that dramatically enhance your abilities. The knowledge and tools of Six Sigma well up in you an emboldened sense of personal empowerment. With Six Sigma, you command the power and have the ability to foster significant positive change in the world. As a result — regardless of your title or official duties — you become a leader!

Your leadership role compels the use of the single most important tool for

Any leader: communication. Your Six Sigma knowledge and capabilities grant you significant influence, and you apply that influence through all manner of

Communication. The tools of communication you must use are the broadest

Set of communication tools possible and they’re summarized in Table 12-1. We can’t overemphasize the power of leadership within every Six Sigma

Practitioner. Whether you’re an analyst, executive, manager, engineer, or

Administrative assistant — it doesn’t matter. When you know how to apply the methods and tools of Six Sigma, there’s no turning back. You have this special insight, a new ability, and you’re going to use it. With that ability comes the essence and responsibility of leadership.

Table 12-1 The Tools of Leadership Communications

Communication Tool Role

Face-to-face

The most powerful leadership tool is your personal

Communication communication. Direct interaction is the best way to

Listen and influence.

Formal presentations

Using a presentation tool like PowerPoint, a formal

Presentation is a common, effective, and repeatable

Leadership and communication tool.

Impromptu

White boards and flip charts make ideal platforms for

Presentations conveying important ideas and information, conducting

Brainstorming sessions, developing early designs, and

Troubleshooting.

E-mail Messages, directives, requests, and reports can all

Be communicated via e-mail, which communicates directly and by passing along through different audiences. Using attached files, e-mail is a powerful communication conduit. It’s poor and inappropriate

_For resolving issues, however._

(continued)

Table 12-1 (continued)

Communication Tool Role

Shared repositories Systems like intranets, file servers, groupware, and enterprise application systems help communicate broadly and consistently.

Phone calls Particularly when there’s an issue or problem, there’s

Nothing quite as effective as just picking up the phone

And calling them.

Memos and letters Formal memoranda and letters are most useful for

Communicating in an official manner, such as a policy directive or formal announcement.

Bullhorn Hey, whatever it takes! Just make sure you get the

Message out.

In addition to communication tools, you must use other leadership tools,

Including motivational tools and the tools of influence.

Project Management

Six Sigma benefits are derived from a series of projects. Lots of projects.

Bigprojects, little projects. Long projects and short projects. Projects within a single department, and projects that cross departments. Projects inside

Companies, and projects that cross company boundaries. Dozens of projects — and, in big companies, hundreds of projects. Dr. Seuss could write a book on all the Six Sigma projects!

At the business level, Six Sigma projects are the players in the overall game

Plan of a breakthrough performance improvement initiative. The business perspective is that a Six Sigma project is the agent of action that executes

The business strategy and returns the results. Selecting the right projects is,

Therefore, critical, as is executing them properly. This means that the effective management of projects is core to the success of a Six Sigma initiative.

The skills and tools required to manage a Six Sigma project are similar to those

Required to manage other types of projects. It’s rigorous, but you don’t need

A certification from the Project Management Institute to do it.

First, you define the fundamental problem or need you intend to solve or

Address with your project effort. Then, you define the objectives and results you seek to achieve. From this, you define the project plan, which includes

Scope, schedule, and benefit. Upon gaining approvals, you’re off and running. When you’re underway, you must track and manage the project to plan, and

Deliver the results to the Champion or Deployment Leader.

The application domain of the project may be unique to Six Sigma, but the

Management of the project follows many standard project management rules

And guidelines. In Table 12-2 are listed the major categories of project management tools used in the management of Six Sigma projects. Application

Software packages of various types are available on the market to assist in the execution of these tools.

Table 12-2_Six Sigma Project Management Tools

Project Tool Role_

Ideation Capture ideas for potential Six Sigma projects.

Definition Establish the project scope, write a problem and objective

Statement, set a schedule, and assign initial team members.

Selection Establish priorities for projects, manage the queue of projects,

And launch projects.

Tracking Track and manage project progress. Identify and manage vari -

Ance to plan. Ensure deliverables to the established objectives

And schedule.

Reporting Communicate the status and results of the project — to the pro -

Ject team members, business owners, Six Sigma Champions, executives, and other constituents.

Eureka!

Projects begin with a problem or a need to improve. Someone, somewhere,

Realizes that it can be done better. Improve a process. Reduce defects. Eliminate waste. Projects can be motivated in countless ways. (Refer to Chapter 4 for more on sourcing and defining Six Sigma projects.)

The process of discovering the opportunity to perform a Six Sigma project is known as Project ideation. This funny word, Ideation — short for idea creation — refers to the process of creativity and insight within the formality

Of the controls that permit the idea for the project to flourish. Tools for project ideation enable you to capture the essence of the idea, along with supporting information, in a central database to evaluate and consider. An

Example of a Web-based project ideation portal is shown in Figure 12-1.

Figure 12-1:

Project ideation portal.

Ideation tools like these are powerful ways to enroll everyone in the

Organization — including customers and suppliers — in the process of

Identifying potential improvement projects.

Pick a ©inner

Project selection is a delicate act of evaluation, alignment, and prioritization.

Your Six Sigma projects must be of proper value and contribution in their own right, but they must also be set in the context of the improvement of the business and in meeting its stated goals. Rogue Six Sigma projects can

Solve the wrong problems.

As part of the selection process, a project must first be defined in rough

Terms — but sufficiently quantified in scope, schedule, difficulty, and expected

Impacts on the business. Then you can determine if it’s worth doing. Evaluation

First, evaluate any proposed project for its direct contribution to its spe -

Cificarea of business and its alignment to the overall business strategy or objectives. These contributions should include quantifiable measures, such

As significant percentage of defect reduction or measured customer satisfaction improvements, as well as the financial contributions to profitability.

V* Quantifiable improvements: 70 percent or greater improvement over

Baseline performance on key metrics

Quantifiable returns: Return on investment is less than 1 year

Alignment

Next, evaluate the project in terms of its alignment to the goals and strategies

Of the business, and for its context relative to core or enabling business

Processes. The Six Sigma Champion or Deployment Leader should evaluate how the project will contribute to the overall business needs.

Categorize the project in terms of hard dollar value or soft contribution.

No more than 25 percent of Six Sigma projects should be soft-savings

Projects.

Align the project profile to the overall business to ensure its efforts and contributions are placed strategically.

Consider the learning value and the contributions toward generation of momentum as part of the total Six Sigma improvement initiative.

Priority

As a result of your evaluation and alignment exercise, assign a numerical priority to the project. Typically, use a range of 0 (project disapproved) to 10

(assigned top resources and budget).

Use the priority scheme to identify those projects that have the largest potential impact on the organization, either strategically or financially, and that have the highest probability of success with the lowest level of required

Resources. A priority matrix is a useful tool in comparing parameters and prioritizing projects.

Project definition

Project definition is the critically important process of transforming a practical business problem into a Six Sigma project. The output is a well-defined

Problem statement and a well-scoped set of objectives, including approvals

From those who are either involved in the project or affected by its results. The Six Sigma management community believes that 50 percent of the success of a project is in the quality of its definition.

The project definition worksheet breaks down the many elements of defining

A project into easy-to-handle pieces. Refer to Chapter 4 for more on sourcing

And defining Six Sigma projects.

Management — in the form of the Champion, Deployment Leader, and/or Process Owner — is responsible for defining projects. Management must decide which projects will achieve business (VOB) goals and meet customer (VOC) requirements. Six Sigma practitioners are closely involved, assisting

Management in this effort, contributing input to the evaluation and alignment of candidate projects.

At the highest level, that’s really all there is to the essence of project definition. But while it may sound easy, a lot of information and work goes into defining

Projects, which means you have a lot to track and manage.

You have difficult hurdles in front of you. Resources— budget, people, and equipment—are always in short supply. Schedules are always tight. You have to account for the constraints and risk factors, too. However, if you follow the

Project management process, you will produce a well-defined project plan and enable your project team to be successful.

Behind the magic trio of a problem statement, an objective statement, and approvals are a number of supporting elements that make up a sound project definition. These are summarized in Table 12-3. Every project definition should contain a concise and accurate description for each of these elements.

Table 12-3_Basic Elements of Project Definition

Element Definition

Purpose The reason and motivation for doing the project. This includes a precise statement of the problem, and its impacts.

Objectives The core set of objectives that must be met if the project is to be

Judged a success. Be quantitative in identifying the anticipated

Levels of improvement.

Benefits How everyone will gain from successfully meeting the project objectives. For Six Sigma projects, this specifically includes the

Bottom-line benefits.

Team Identify the team of individuals and skills needed to complete

Members project. The team should be small to remain agile, yet have the

Sufficient expertise and representation. Typically, a core team of six or fewer are required, with additional help on a part-time basis.

Schedule The schedule includes the total duration of the project as well as the individual duration of each project phase

Risk and Scope, schedule, and objectives hang in a delicate balance. A controls change in any one affects at least one of the other two. Estimate the risk and impact of possible and probable changes, and identify the controls you apply to prevent them from occurring and to respond if they do.

Project planning and tracking

The preceding section describes the tools of project definition. In this section, you find out about the tools for Six Sigma project planning and tracking.

Planning the project

After the Six Sigma project definition phase is complete, the next step is to plan the project. Project planning is important, because a project plan is no better than all the effort and consideration that went into it. A project is a process, and the effort to plan a Six Sigma project is just as rigorous as the development of the process you’re setting out to improve. As General and two-term U. S. President Dwight D. Eisenhower once said, "Plans are nothing. Planning is everything."

To prepare a project plan, you must first collect and organize the information from your project definition effort.

Is Methodology: In a Six Sigma project, the project method follows the DMAIC process (see Chapter 3). Any of the project planning and tracking software tools for Six Sigma have built-in templates for DMAIC. The project milestones and subordinate deliverables will follow this approach.

V Roles: Choose and assign the people and skills you need to complete

Theproject. This includes Black Belts, Green Belts, and Process Owners. If the project is very complex, spans many organizations, or has been unsolvable in the past, you need a Black Belt to contribute in-depth technical analyses and leadership.

Schedule: Six Sigma projects are short, usually three months or less.

Torealize the advertised returns, the project team should complete its

Work in a short timeframe. Project milestones normally coincide with the application methodology, such as DMAIC, with deliverables and

Checkpoints at each phase boundary.

Reporting: The communication of project status is critical in Six Sigma

Projects, just as it is in other types of projects. Each stakeholder and

Participant must be regularly informed as to progress and results. This includes not only the project team members, but the finance group,

Process owners, and executive leaders. The tools of leadership communications (refer to Table 12-1) facilitate the project-reporting effort.

V Cost/benefit: Because the ultimate deliverables and returns on Six Sigma

Projects are measured in terms of bottom-line contributions, your most important project metrics are the returns you’re generating as a result ofthe project effort. Manage to the return on investment (ROI), and use methods of valuation that are consistent across your business.

The output of the project planning process — the Project plan — is a specific

And controlled set of information. The project plan includes text documents, supporting spreadsheets for financials, and a Gantt or similar type of project schedule, with milestones, resource information, and reporting mechanisms. Collectively, this information set is reviewed and, after it’s approved, is set

Down as what is known as the Baseline Project plan. This baseline plan is what everyone works to. Any changes to the baseline plan must be reviewed

With the Champion or Deployment Leader as well as other stakeholders to determine if or how the project should continue.

The supporting application software tools to complete the project plan include:

Word processor: A tool like Microsoft Word captures all textual information, and stores it in files. You want to print one or more copies for

Physical reference and include signature authority to allocate resources

To perform the project.

Is Financial calculator: Typically, a spreadsheet tool like Microsoft Excel supports financial planning information. However, in more sophisticated environments, this may be replaced by built-in capabilities in your company’s ERP system or managed from within an integrated project planning tool like Instantis or SixNet.

Scheduler: Project schedulers are like process mappers for projects.

They enable you to capture all planned work tasks, resources, costs, and risks and place them in a scheduling format according to a formal organization of work. Numerous project management software tools are on the market; tools specifically designed to support Six Sigma projects include Instantis and SixNet. These are powerful, and they perform project scheduling for Six Sigma-specific projects from an Internet-based architecture. There are many others; the most commonly used generic project scheduling tool is Microsoft Project. Refer to Figure 12-2 for an example of a project schedule.

F Reporting: Project status reports are typically generated directly by the project planning and scheduling tools. You may need to extract information from your project scheduling tool to generate the precise type of reports you need. The following section addresses this in more detail.

Document manager: Often overlooked but of critical importance are the tools for managing the plethora of project documentation. Document

Management is the practice of securing a set of data files in a repository with strict access and revision controls. These systems are invaluable for controlling updates to official or reference documentation.

Tracking the project

Project plans are really great — until the day the project begins. Tracking and managing the project to plan is critically facilitated by the tools, and this is where they really shine. These tools help you track and report project status;

Make changes to resources, budgets, and schedules; and redefine work and

Deliverables. In many cases, the tools will also manage changes to the plan, and compare the real results, called Actuals, To the original baseline to produce variance-to-plan information.

The saving grace for Six Sigma projects is that they’re short. While longer projects become increasingly complicated to manage, Six Sigma projects typically last only a few months. This way, projects — and their models — can’t get into too much trouble, because they don’t last long enough to be overly complicated.

Just the Facts, Ma’am

Reports communicate results. They are the trailing indicators, demonstrating

The outcomes of your initiatives. Reporting tools are communication tools

That tell everyone how well your initiatives are performing. These tools are vitally important, because they provide visibility into the bottom-line results

Of your projects and programs.

As key communicators, you must pay close attention to your project reports. Without them, your constituents have no way of knowing all the great things you’ve accomplished and, therefore, have no way of supporting you or your

Project team. After all the work and all the achievements, you want to ensure that everyone gets the good news.

Reporting tools for Six Sigma projects and programs are available in many

Flavors.

F Generic reporting tools: The information management marketplace has a category for what is known as Business intelligence tools. These tools

Are useful for culling information from databases and presenting nicely formatted reports on a repeating basis. This class of tools is not specific

To Six Sigma, but because they are generic, they are adaptable to the

Application. Among this group are tools like Cognos, BusinessObjects, and even Microsoft Office.

V Integrated tools: The enterprise integrated tools used for project planning and tracking also include a suite of reporting tools. If you’ve used these tools on the planning and tracking side of your management effort,

They are efficient and effective as reporting tools. See Figure 12-3 for an

Example.

V Balanced scorecard: A specialized system of reporting specific business measures and performance in a proscribed manner, known as the Balanced scorecard, Has emerged in recent years. The balanced scorecard is an entire field of study unto itself, and its methodology is specified by the

Members of the Balanced Scorecard Institute, which include both corporations and governments. In some cases, Six Sigma results must be presented in this manner. Figure 12-4 shows an example of a balanced scorecard.

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35

Knowledge Management

Knowledge Management (KM) tools are extensive collaboration vehicles that help you transfer and share knowledge and information across your organization. These are by no means specific to Six Sigma, but the savvy Six Sigma manager employs these tools to ensure a widespread effect of the behaviors and results of a Six Sigma initiative.

KM tools are almost exclusively enterprise-class applications that operate across networks. They work together with learning tools to provide effective

And efficient mechanisms for sharing intellectual capital and creating an environment of responsiveness and furthering innovation. KM tools are an

Informal, bottom-up way to bring together and share information.

The marketplace for Knowledge Management tools is quite broad, and in

Thebroadest sense it includes all information, reporting, and content management technologies. More specifically, KM tools enable people to collect,

Access, manage, and share all relevant information on a variety of topics.

Thisincludes

F Six Sigma methodologies

Statistical analysis methods and tools

F Process optimization methods and tools

F Results of past statistical analyses

V* Past process management activities and results

V Project definitions and charters

F Project plans

Project results

The field of Knowledge Management considers this list a treasure trove of

Intellectual value within a business. All manner of tools and technologies, from Internet and intranet access tools to structured access and control tools to library management systems are fair game for your consideration relative to how you choose to integrate this information into the regular daily lives of

Your staff and co-workers.

Knowledge Management is not an esoteric field of academic ballyhoo about life in the electronically-enabled information age. Six Sigma initiatives produce a wealth of vital information that contribute significantly to the intellectual capital of your business. KM is the technology that releases this capital into your organization to generate sustained growth and performance improvement.

An Apple (or \lour Apple

A key tool of Six Sigma management is training. Corporate training in the principles and practices of Six Sigma is traditionally delivered by consultants or internal Master Black Belts. This training follows a prescriptive training regimen, whereby executives, Champions, Deployment Leaders, "Belt" staff, and functional support staff receive the training necessary to conduct themselves in their respective Six Sigma roles.

More and more, instruction and learning are taking place through the computer. This is called online learning, or E-leaRNing. The field of online learning has been growing and maturing dramatically in recent years, and represents an increasingly larger piece of formalized instruction and corporate training. Chances are you’ve experienced some form of e-learning.

Online learning for Six Sigma is an attractive management tool for several reasons:

F On a per-student basis, e-learning is far less expensive than conventional

Stand-up training.

V E-learning eliminates most of the time and expense of travel — either for

The student or for the instructor.

Is With e-learning, students are often able to take classes during off-times, reducing work interruptions.

F E-learning reduces instructor time, permitting companies to deploy

More Master Black Belt trainers back into the workforce.

F Because e-learning is conducted within information technology environments, it directly facilitates understanding of technology tools.

E-learning is a natural companion to knowledge management, and the

Materials for e-learning quickly translate to reference knowledge.

You can see how attractive e-learning for Six Sigma can be. E-learning technologies and platforms do not replace conventional Six Sigma training in one

Key area, however: Students must still complete workplace projects and be

Mentored closely through the project process. The Master Black Belt is an

Important mentoring component of the student’s knowledge development

Process. Automation has not fully replaced the instructor — at least not yet! Several methods of e-learning for Six Sigma are available as discussed in the

Following sections. Computer-based training (CBT)

This is the most famous and common of all e-learning techniques. In this approach, the training is delivered either via a compact disk (CD) or through

The Internet on the Web. Students receive the training by clicking through pages of material and, once completed, they usually verify their knowledge by

Taking online examinations.

This approach is common in lower-level types of training, but has fallen short of delivering value with the higher-level constructs and learning required in a Six Sigma environment. The timing and interaction of the mentor is also difficult to schedule through this approach.

Synchronous mentored learning

This approach, often referred to as "the instructor in a box," is more intimate

Than CBT. With synchronous learning, the student attends class online at a fixed time of day, during which the instructor presents the materials. The

Student usually has a real-time link and can interact with the instructor and

Other students with questions and discussions.

This approach is favored by several universities, and we have observed it in

Several corporate training environments. The benefit includes a certain spontaneity in the instructor’s lecture materials, but the intimacy of the real-time

Online interaction comes at the price of high network bandwidth. Asynchronous mentored learning (ALN)

The Asynchronous Learning Network approach is a hybrid of the preceding two. With ALNs, students follow the lectures independently, and yet interact with the classes and their classmates on a fixed routine. ALNs are increasing in popularity in corporate and government training applications because of

This duality.

Introduction

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Six Sigma is the single most effective problem-solving methodology for improving business and organizational performance. There’s not a business, technical, or process challenge that can’t be improved with Six Sigma. The world’s top corporations have used it to increase their profits collectively

By more than $100 billion over the past ten years. In certain corporations, Six Sigma proficiency on your resume is now a prerequisite to moving into a

Position in management.

If you’re part of a Fortune 500 company — particularly a manufacturing company — chances are, you’ve heard about Six Sigma. You may even have

Been through a training regimen and been part of a corporate initiative or an

Improvement project. If so, you know the capabilities of Six Sigma; you have

Witnessed its achievements firsthand.

But if, like many people, you’re outside of the upper echelons of big business, Six Sigma is virtually unknown. It has been too expensive and complicated for

Small – and medium-sized businesses, public institutions, not-for-profit organizations, educational environments, and even aspiring individuals. Its potential

Has remained out of reach for the vast majority of professionals and organizations world-wide.

All this is changing. As the methods and tools of Six Sigma have spread, it

Hasbecome easier to understand and more straightforward to implement.

The mysteries of Six Sigma have been revealed.

Simply stated, Six Sigma is about applying a structured, scientific method to

Improve any aspect of a business, organization, process, or person. It’s about engaging in disciplined data collection and analysis to determine the best possible ways of meeting your customer’s needs while satisfying yours, and minimizing wasted resources and maximizing profit in the process.

About This Book

This book makes Six Sigma accessible to you. We wrote it because Six Sigma is applicable everywhere; it’s applicable not only in large and complex corporations but also in the less complex and more intimate worlds of professional

Performance and personal accomplishment.

We wrote this book for you, the individual. You may be a small business owner, an ambitious career person, a manager who wants to know what Six Sigma is and how to apply it, a college student or applicant who wants to have an edge on upcoming job interviews. For you, there’s nowhere else but here to turn.

Six Sigma For Dummies Is more than an overview or survey of Six Sigma. It is a comprehensive, actionable description of the methods and tools of Six Sigma. In this book, you find:

Is A reference book that’s organized into parts, chapters, and sections, so

That you can flip right to what you need, when you need it

F A comprehensive text that addresses both the statistics of Six Sigma and

The improvement methodology

F A guide for leading a Six Sigma initiative, selecting and managing Six Sigma projects, and executing specific Six Sigma tools and analytical procedures

Step-by-step instructions for the Define-Measure-Analyze-Improve-Control

Phases of the Six Sigma process

Instructions on where you can go for additional help, because the field

Of Six Sigma is much too large to fit in only 400 pages Sure, Six Sigma is rigorous, technical, and analytical, but we’ve taken this

Difficult subject and made it understandable through examples, simple explanations, and visual aids.

Contentions Used in This Book

When a specialized word first appears in our book, we italicize it, and provide

A definition. Most terms are further defined in the appendix.

For terms and phrases that industry practitioners use as acronyms, we define the term first and then use it in its abbreviated form going forward.

When we use the term Data, We always mean it in the plural sense. While there is debate among statisticians about using Data In both a plural and singular

Sense, we stick with the plural only, because our editor told us we had to. Otherwise, Datum Is the singular form.

We do use some business management and statistical concepts and language.

If you want to get extra smart, check out Managing For Dummies, 2nd Edition, by Bob Nelson, Peter Economy, and Ken Blanchard, and Statistics For Dummies By Deborah Rumsey (both published by Wiley).

Foolish Assumptions

We assume you’ve heard about Six Sigma and are intrigued and compelled to find out more. This may be for any one or more of the following reasons:

F You are contemplating the application of Six Sigma in your business. and you need to understand what you may be getting yourself into.

F Your business is implementing Six Sigma and you need to get up to speed. Perhaps you’ve even been tapped to participate as a Champion, Black Belt, Green Belt, or Yellow Belt.

F You believe Six Sigma is a pathway to better performance in your job and

Can help you advance your career.

F You’re considering a career or job change, and your opportunities require you understand Six Sigma.

F You’re a student in industrial engineering or business school and realize that Six Sigma is part of a path to success.

We also assume that you realize Six Sigma demands a rigorous and structured

Approach to problem solving that calls for capturing data and applying statistical analysis to discover the true causes of the challenges you may be facing

In manufacturing, service, or even transactional environments. For that reason, several chapters of this book describe and define the statistical tools of Six Sigma.

Ho© This Book Is Organized

We break this book into four separate parts. Each is written as a standalone

Section, permitting you to move about the book and delve into a given topic

Without necessarily having to read all the proceeding material first. Anywhere

We expound upon or extend other material, we reference the chapter or part of origin, so you can tie it together.

We include a Cheat Sheet at the front of this book as a handy reference of key material. And in the appendix is an extensive glossary of terms.

Part H Six Sigma Basics

Part I is an overview of the Six Sigma methodology, the system of deployment, roles, and responsibilities. In this part, we address the key principles underlying the science of Six Sigma and its applications. Chapter 1 is a comprehensive

Overview of Six Sigma. Chapter 2 addresses the key principles. Chapter 3 discusses roles and phases in the implementation of a Six Sigma deployment.

Part 11: Understanding and Enacting the Breakthrough Strategy (DMAlC)

Part II is the meat of the book, where we get into the depths and details of

Practicing Six Sigma. In seven chapters, we describe Six Sigma thoroughly,

According to the DMAIC method. Chapter 4 covers the phase that defines and

Describes how Six Sigma projects are identified. Chapters 5, 6, and 7 cover the measurement phase. Chapter 8 is analysis; Chapter 9, improvement; and Chapter 10, control. If you fully absorb this part, you can successfully perform a Six Sigma project.

Part 111: The Six Sigma Tool and Technology Landscape

In this part, we present a comprehensive listing of the tools used by Six Sigma practitioners (see Chapter 11). We also present the tools of Six Sigma management in Chapter 12.

Part 1V: The Part of Tens

This summary section, in the For Dummies Tradition, is a compilation of key reference points. Chapter 13 discusses ten practices for success. Chapter 14 addresses ten pitfalls to avoid. In Chapter 15, we tell you about ten additional

Places you can go for help.

1cons Used in This Book

Throughout the book, you will see small symbols called Icons In the margins, and these highlight special types of information. We use these to help you

Better understand and apply the material. When you see any of the following icons, this is what they mean:

These are key points to remember that can help you implement successfully.

When you see this icon, we’re cautioning you to beware of a particular risk or pitfall that could cause you trouble.

This icon flags an example from industry of real events or stories about companies that have applied Six Sigma.

This icon flags a detailed technical issue or reference. Feel free to skip right over these, if you don’t want to dig deeper.

We use this icon to summarize information into short, memorable thoughts.

Where to Go from Here

The beauty of a For Dummies Book is that you don’t have to start at the beginning and slowly work your way through. Instead, each chapter is self -

Contained, which means you can start with whichever chapters interest you

The most. You can use Six Sigma For Dummies As a reference book, which

Means you can jump in and out of certain parts, chapters, and sections as you want.

Here are some suggestions on where to start:

F If you’re brand new to Six Sigma, start at the beginning, with Chapter 1.

V Want to know all about those "Belts" you’re hearing about? See Chapter 3.

If you’re interested in how to begin a Six Sigma project, go to Chapter 4. To find out all about tools and technologies, check out Chapter 11.

F Want to know all the gritty statistical measurement and analysis of Six Sigma? Jump in at Chapter 5.

If you want to understand all the lingo and terminology, see the appendix.

  • Автор: Анкар
  • Категории: Foreword

Foreword

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Rhe world is on the verge of a new economic era. For the past century, the Industrial Age has been defined by tools and skills targeted at control,

Efficiency, specialization, delegation, scalability, and replicability. Accounting makes people an expense, a piece of equipment, an investment, and people are

Motivated by the great jackass theory of the carrot and stick. But although this paradigm has led to a 50-fold increase in productivity over the previous farming

Mindset, it has also led to a control paradigm, an entrenchment of a "leadership by position" mentality, with organizational hallmarks of lack of clarity regarding high priorities, lack of commitment or emotional connection by the workforce, lack of line-of-sight translation to specific action, disenabling systems and processes, no synergy—interpersonally and interdepartmentally—and

A lack of accountability.

Studies show that the vast majority of employees possess far more talent, more intelligence, more capability, more creativity, and more ability than

Their jobs require or even allow. Their deep potential remains dormant, untapped, andunused. Today, the Industrial Age is ending, and the Information Age orKnowledge Worker Age is opening. This new, emerging age is defined by "leadership is a choice" with an empowerment or unleashing-potential mentality; choices guided by values in the light of unchanging principles. In the new paradigm, the greatest asset in any organization is its people — whole people—with their bodies, minds, hearts, and consciences all engaged and contributing, and all receiving benefit in the progress of the organization. A Trim tab Is a small rudder on a boat or airplane that, through its relatively

Small motion, allows the bigger rudder to achieve the greater effect and leverage. The leaders of the Information Age act as trim tabs within organizations.

Their relatively small actions at the bottom or middle can effect a much greater

Change throughout an entire organization.

Six Sigma has become a key enabling skill of the new Knowledge Workers of the next generation of trim tabs. One of the great values I admire of Six Sigma is the science, the database—and the careful analytic thought processes of problem solving using that data. Six Sigma empowers and enables you to effect remarkable change, no matter your position in your organization. The maturing world

Has transformed the previously exclusive, academic knowledge of Six Sigma

Into must-have best practices for everyone wishing to advance and contribute.

In a knowledge economy where 70 to 80 percent of the value added to goods

And services comes from knowledge work, can you imagine the results flowing

From having the entire workforce Six Sigma literate?

That’s why 5ix 5igma For Dummies Is a book to be read by everyone.

Stephen R. Covey

Author, The 7 Habits of Highly Effective People And The 8th Habit

  • Автор: Анкар
  • Категории: Foreword

Defining Six Sigma

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In This Chapter

► Looking at a problem-solving methodology ^ Reviewing the precise statistical term

^ Recognizing that Six Sigma isn’t just another initiative-du-jour ^ Identifying a formidable business force

/t’s not often that a For Dummies Book topic first needs a formal definition. After all, you know in general what gardening, dating, and even marathon training are. But "Six Sigma"? Even if you remember that sigma is the 18th letter of the Greek alphabet, why six of them? What happened to the first five sigma?

It’s okay if you don’t know what "Six Sigma" is at all, or don’t understand every aspect of it. That’s because Six Sigma — once a precise, narrowly-defined term — has grown over time to represent a number of concepts:

Is Six Sigma Is a problem-solving methodology. In fact, it’s the most effective problem-solving methodology available for improving business and

Organizational performance.

Is Six Sigma performance Is the statistical term for a process that produces fewer than 3.4 defects (or errors) per million opportunities for defects.

Is A Six Sigma improvement Is when the key outcomes of a business or work process are improved dramatically, often by 70 percent or more.

V A Six Sigma deployment Is the prescriptive rollout of the Six Sigma methodology across an organization, with assigned practices, roles, and procedures according to generally accepted standards.

Is A Six Sigma organization Uses Six Sigma methods and tools to improve performance: Continuously lower costs, grow revenue, improve customer satisfaction, increase capacity and capability, reduce complexity, lower

Cycle time, and minimize defects and errors.

No pain, no gain

The Six Sigma approach is not for the faint of heart, nor the unprepared organization. It’s intense and rigorous, and it entails a thorough inspection of the way everything is done. Six Sigma sets ambitious business objectives and

Measures performance in a way that forces

Accountability. It doesn’t allow a management

Team to become complacent, but, rather, it exposes waste that otherwise would remain

Largely invisible.

Six Sigma takes a business out of its comfort zone — but for a relatively short time. After the first project gains are made and the money starts flowing to the profit margin, a cultural change

Takes hold. The early discomfort of changing

Business processes gives way to success, problems become opportunities for improvement, and the organization begins to enthusiastically leverage the methods and tools of Six Sigma — more pervasively and with a keen eye on value.

Six Sigma is a methodology for minimizing mistakes and maximizing value. Every mistake an organization or person makes ultimately has a cost — a

Lostcustomer, the need to do a certain task over again, a part that has to be

Replaced, time or material wasted, efficiency lost, or productivity squandered. In fact, waste and mistakes cost many organizations as much as 20 to 30 percent of their revenue! That’s a shocking number. Imagine throwing 20 to 30 percent of your money away in the garbage every time you cash a check. It may sound ludicrous, but that’s what many organizations do.

All businesses, organizations, and individuals have room to improve. No operation is run so tightly that another ounce of inefficiency and waste can’t be squeezed out. By their nature, organizations tend to become messy as they grow. Processes, technology, systems, and procedures — the ways of doing business — become cluttered with Bottlenecks, Meaning work piles up in one

Part of the organization while other parts sit idle with nothing to do.

Work is often performed incorrectly, or the outcome is flawed in some way. When this happens, you scrap products and services and have to do the work

Over again: You consume additional resources to correct a problem before it’s delivered to the customer, or the customer asks later for a "redo" — a new product or a more satisfactory service.

Sometimes, flaws and defects aren’t the problem, but a product or service

Simply takes too long to produce and deliver. Think about the problems a mortgage company would have if it processed home loans perfectly, but did so 5 times slower than the competition. That’s a perfect disaster.

^BЈ» Six Sigma was once a quality-improvement methodology, but now it’s a general-purpose approach to minimizing mistakes and maximizing value: How many

( IM ) products can you produce, how many services can you deliver, how many transactions can you complete to an expected level of quality in the least

Possible amount of time at the lowest possible cost?

Six Sigma takes effort and discipline and requires you to go through the pain

Of change. But soon the pain is transformed into improved performance, happier customers, lower costs, and more success.

The Managerial Perspective

While Six Sigma has its many definitions, Six Sigma action occurs on two different levels: the managerial and the technical. At the managerial level, a Six

Sigma initiative includes many units, people, technologies, projects, schedules, and details to be managed and coordinated. There are also many plans to develop, actions to take, and specialized work to complete. For all of this to work in concert, and for the technical elements of Six Sigma to be effective,

You have to set the proper management orientation.

From good to great the Six Sigma way

In the best-selling business book Good to Great, Author Jim Collins studied companies that achieved a distinct break with the past by dramatically improving their performance, as

Reflected in market value appreciation. He set out to discover their secret—the stuff they held in the black box called "what we did to become great" and to beat the performance of the average company in their market by 3, 7, or even 18

Times.

Collins’ empirical research led him to several

Interesting conclusions. Greatness is not a function of larger-than-life leaders, exorbitant executive compensation, killer business strategies, advanced technologies, mergers and

Acquisitions, or big change initiatives. Over the long run, as it turns out, these are all collective crutches an organization leans on to prop itself

Up — but none of these enable a company to

Become great.

So what makes a company great? According to Collins’ research, it is this: disciplined people, disciplined thought, and disciplined actions over an extended period. Having "the right people on the bus," as Collins puts it, having the "discipline to confront the most brutal facts of your current reality," in thought and in action, is the recipe for greatness.

Simply, this good-to-great result comes from the right people applying the right principles in the best possible way. Interestingly, this is what Six Sigma is all about: selecting the right people to drive and lead systematic improvement in a prescribed, disciplined, measurable, and repeat -

Able manner.

StoBK Radical corporate success

Six Sigma performing companies realize staggering business success:

■ General Electric Profited between $7 to $10 billion from Six Sigma in

About five years.

■ Dupont Added $1 billion to its bottom line within two years of initiating its Six Sigma program, and that number increased to about $2.4 billion

Within four years.

Bank of America Saved hundreds of millions of dollars within three years of launching Six Sigma, cut cycle times by more than half, and reduced the number of processing errors by an order of magnitude.

Honeywell Achieved record operating margins and savings of more than

$2 billion in direct costs.

■ Motorola, The place where Six Sigma began, saved $2.2 billion in a four -

Year time frame.

Six Sigma helps organizations achieve breakthrough improvement, not incremental improvement. In short, Six Sigma is a path to dramatic improvement in value for your customers and your company.

Bridge between science and leadership

From a management standpoint, Six Sigma culminates in the predictability and control of performance in a business or a business process, by applying

The methods of science to the domain of leadership.

Early in the 20th century, Henry Ford applied the principles of science to the production of cars. By following set processes and by optimizing repeatable

Processes, Ford and others made goods that displayed little variation in their final states and could be mass-produced without requiring extensive education and years of finely honed skills among the assembly-line staff. We have

Witnessed how the achievements of machinery, technique, process, and specialization of labor collectively enable the explosion of mass-production and the consumer society. Science dictates how all the parts, materials, machines, and people on the assembly line interact to turn out many "widgets" at the

Highest possible speed and the lowest possible cost.

-ЈJ^E» Managerially speaking, the goal of Six Sigma is to inject similar control, pre-7~Ґ\ dictability, and consistency of results into the production of a successful ( IM ) Organization, such that the widget comes off the production line absolutely consistently.

Countless times every day in the United States, people open a water faucet

And experience the flow of clean, clear water. The reason is because reliable purification systems treat the water and pressure systems ensure the water is there. This is what Six Sigma does; it treats the processes in a business so that they deliver their intended results reliably and consistently.

The methodology of Six Sigma was first applied in a manufacturing company,

But it also works in service and transactional companies (like banks and

Hospitals), where it has been implemented many times with great success. Six Sigma dramatically improves the way any process works — whether that

Process is in the chemical industry, the oil industry, the service industry, the entertainment industry, or anything else.

Management system orientation

Six Sigma is so appealing to managers because it delivers management results. Clear Value proposition and ROl

Six Sigma is characterized by an unwavering focus on business return on investment (ROI). A Six Sigma project can improve a business characteristic by 70 percent or more, stimulating increased operating margins for businesses,

While at the same time increasing the value those businesses provide to their

Customers. Six Sigma initiatives and projects have a direct, measurable financial focus and impact.

Top commitment and accountability

A Six Sigma initiative begins at the top. The leadership and management of an organization must actively commit to the Six Sigma initiative, setting

Performance goals and developing tactical implementation plans. Management

Team members must be personally accountable for achieving the performance improvement goals they set for their respective organizations and business

Units.

Customer focus

Six Sigma, through its Voice of the customer (VOC) Tools, drives business

Processes through customer requirements. No operational, process, and

Business improvements can occur without a definitive understanding of who the customers are and what they need, want, and are willing to buy. Six Sigma managers become savvy about the needs and requirements of customers, in a way that also enables the business to become stronger and

More profitable.

Connected business metrics

You know by now that Six Sigma is different from other performance improvement approaches in its focus on business financials and measurable operational improvements. To support this, the Six Sigma management system must include performance measures that are readily accessible and visible to everyone whose actions or decisions determine performance levels and operational quality.

Process orientation

Six Sigma improves the performance of processes — any business or work process — in how those processes effectively and efficiently transform material and other inputs into the desired outputs. This is the focal point of using Six Sigma to improve performance: the design, characterization, optimization, and validation of processes.

Project focus

The Six Sigma project is the tool by which processes and systems are characterized and optimized. Program leadership identifies opportunities for Six

Sigma improvement projects and assigns Six Sigma specialists to execute them. We provide details about how to select Six Sigma projects in Chapter 4, how to implement projects in Chapters 5 through 10, and how to manage projects using tools in Chapter 12.

Enabling tools and technology

Properly managing a Six Sigma initiative that spans an entire organization or

A significant part of an organization requires the ability to simultaneously

Manage many projects, processes, analyses, data banks, training activities,

And people. Generally speaking, several classes of tools and technology are

Employed to accomplish this:

Tools for designing, modeling, managing, and optimizing processes

Tools for the broad-scale management of multiple projects across multiple organizational units

V Tools for collecting data, conducting analytical calculations, and solving

Performance problems

Tools and technologies for training, educating, transferring knowledge, and managing knowledge

We provide a comprehensive view of the many Six Sigma tools and technologies in Chapters 11 and 12.

The historical perspective

The Six Sigma methodology was formalized in the mid-1980s at Motorola. New theories and ideas were combined with basic principles and statistical methods that had existed in quality

Engineering circles for decades. The building

Blocks were enhanced with business and leadership principles to form the basis of a complete management system. The result was a staggering increase in the levels of quality for several Motorola products, and the inaugural Malcolm Baldrige National Quality Award was bestowed on the company in 1988.

Everyone wanted to know how Motorola had done it. Then-president Robert Galvin chose to share Motorola’s Six Sigma secret openly, and

By the mid-1990s, corporations like Texas Instruments, Asea Brown Boveri, Allied Signal,

And General Electric had begun to reap similar

Rewards. By 2000, many of the world’s top corporations had a Six Sigma initiative underway, and by 2003, over $100 billion in combined savings had been tallied.

Six Sigma became the global standard of quality business practice, embraced by the American Society for Quality. Universities worldwide now offer courses. Dozens of consulting and software companies have brought products and tools to market. By the end of 2004, over 200 books on Six

Sigma were in print, and entering the term "Six

Sigma" into Google returned some 2,320,000 hits.

An infrastructure for change

Installing and managing a Six Sigma management system require a certain infrastructure — an underlying set of mechanisms and structures upon which to develop the Six Sigma improvement strategies and enact the tactics of project implementation and process improvement. The key elements of an effective Six Sigma infrastructure include the following:

Is A fully documented Six Sigma leadership system, strategic focus, business goal configuration, deployment plans, implementation schedules,

And activity tracking and reporting techniques

A strategy, methodology, and system for training and preparing executives,

Managers, Champions, Black Belts, Green Belts, Yellow Belts, financial auditors, process owners, and all others involved in the Six Sigma initiative; we define and describe all the Six Sigma job roles in Chapter 3

V Competency models and compensation plans, Six Sigma participant and

Leader selection guidelines, position and role descriptions, reporting relationships, and career-advancement policies and plans

Guidelines for defining project-savings criteria, aligning accounting categories with Six Sigma goals and metrics, forecasting project savings,

Auditing and evaluating project ROI, validating project savings, and reporting project ROI

Hard criteria for selecting projects, designating project-type categories, developing project problem-definition statements, targeting intended project savings and ROI, approving selected projects, and managing projects through to completion; we give you more about project management in Chapter 4

Information-technology-related structures, procedures, dashboards, tools and systems for designing and managing processes, tracking project and initiative progress, reporting results, storing information and data, and performing analytical functions; we look at these in more depth in Chapters 11 and 12

A strategy for consistently communicating the Six Sigma initiative across the enterprise, and an Internet or intranet site that provides a common

Reference and knowledge base that contains important information,

Motivational content, recognition stories, educational material, contact information, and so on

F A management review process for assessing the effectiveness of Six

Sigma from the top to the middle to the bottom of the organization:

• At the top, the focus is on the aggregate process, projects, and

Results for entire implementation business units.

• In the middle, the focus is on the process and results of operational units with multiple Six Sigma projects.

• At the lower levels, the focus of management review is on making

Sure individual projects are on track and yielding their intended process-improvement and financial results.

Complete culture change

A Six Sigma initiative often begins with outside consultants providing methods,

Tools, and training, but over time, the knowledge is internalized and applied

Organically within the organization. The ultimate goal is for everyone in the organization to have a working ability to understand customers’ requirements, collect data, map processes, measure performance, identify threats and opportunities, analyze inputs and outputs, and make continuous improvements. In Chapter 3, we provide more details about culture change.

The Technical Perspective

Six Sigma performance Is the statistical term for a process that produces fewer than 3.4 defects or errors per million opportunities. Behind that single statistic lies a methodology that includes a plethora of data, measurement,

Analysis, improvement, and control tools and supporting technologies. This

Section is an overview of the technical side of Six Sigma.

Quality and grade

Quality Is different from Grade. A product can be low grade but high quality, such as 87 versus 91 octane gasoline. As long as the 87 octane gas

Meets its required specification, it is of high

Quality, even though it’s a lower grade. Only if a certain batch of low-grade gas doesn’t meet its 87 octane requirement can you say it is of low quality, or defective.

Therefore, quality is always relative to intent. A quality $12 haircut is different from a quality $30 haircut. A quality economy car is expected to be different from a quality luxury car. A discount online stockbroker can provide a higher-quality experience than a full-service broker, relative to the expectations attached to both, respectively.

Product, service, and transactional quality

The technical objective of Six Sigma is to ensure the high quality and reliability of products, services, and transactions — the lifeblood of all businesses

And organizations. Banks, government agencies, hospitals, car washes, toy

Makers, semiconductor plants, professional services firms — all organizations of any type — provide products, services, and transactions, or some combination of the three.

For example, most auto manufactures do much more than build cars. They

Also provides services, such as routine maintenance and warranty repairs, through their dealerships. Through their financing arms, they approve and

Process car payments, a transactional business activity.

The technical goal of Six Sigma is for products, services, and transactions all to be performed with the highest possible quality as efficiently and effectively as possible. This requires performance targets for all components in a system, and for each important characteristic of every component. For example, a car

Axle (component) has to have the proper form, fit, and function to perform as intended, and if it is to fit together with other components of the car.

Aiming for the target

In Six Sigma, important characteristics are referred to as CTXs, where the C Stands for "critical," the T Stands for "to," and the X Represents what the characteristic is linked to: quality, cost, time, satisfaction, and so on. For example,

A critical-to-quality characteristic would be called a CTQ. Graphically, you can depict the target values of any CTX in Figure 1-1.

Target

Figure 1-1:

Target of a

Generic CTX.

CTX Performance Scale

A performance scale in some kind of units, such as time, length, size, and so

On, indicates the measured value of your CTX. The goal of Six Sigma is to come as close to your performance target as often as possible. If you’re making an axle, your goal is to make all your axles for a certain car the same length every time. This is the consistency a customer needs, and the predictability a business needs.

The reality of Variation

But what really happens? In reality, you can’t hit the target value perfectly all the time, no matter how good you are or how hard you try. You can get close,

But you will always have some variation.

In other words, every instance of a product coming off of a production line is in some way different from every other instance. The thickness of a part is

Never exactly the same. The amount of time it takes to execute a certain business transaction varies from instance to instance.

In the world of making products, delivering services, and conducting transactions, there is always a distribution of performance around a target. Normally, that distribution takes on the shape you see in Figure 1-2. This famous shape is called the Normal distribution, And is also known as the Bell curve.

Figure 1-2:

Performance variation around a target.

Target

CTX Performance Variation

Notice the shape of the normal distribution. It’s symmetrical about the central line, with just as much area under the curve to the left as on the right. In

Six Sigma, you encounter the normal distribution curve repeatedly, because it reveals itself again and again in the course of natural events.

Specifications haVe their place, and only their place

Henry Ford knew about variation nearly 100 years ago when he was mass producing his Model T cars. There is variation in everything, and all the many car parts would vary in their CTX dimensions. So what did he do? How could Henry account for this annoying phenomenon of variation?

He and the other industrialists of his day incorporated specifications and standards into their businesses. Recognizing that parts would vary at the

Component characteristic level, Ford designated variation limits within which

To operate. By doing so, he could accept the inevitable presence of variation while not ignoring its tendency to create defects and cause business loss.

Figure 1-3 shows a performance CTX with a normal distribution and the

Acceptable upper and lower limits of performance. With these specifications

Defined, you have a way to measure quality. You have a way of bounding an

Acceptable extent of variation for your customers and for the business. Having performance specification limits for component characteristics gives you parameters for defining, measuring, analyzing, improving, and controlling quality.

Figure 1-3:

Performance specifications

Around a target.

Lower Spec Limit

Target

Upper Spec Limit

CTX Performance Specifications

Consider these examples: A mortgage company has a goal of refinancing

Loans within two weeks of receiving a completed application. A pest-control

Company believes it must arrive within 30 minutes of all scheduled appointment times. An office-furniture company determines that to be competitive, it must not produce more than two defective pieces of furniture for every 100 produced.

Here are more examples:

A automotive engineer designs an axle. She knows that for optimal

Performance within the power train, the axle needs to 3.325 inches in diameter. Realizing that there will be variation in the thousands of axles

That will be produced, the engineer places an upper diameter limit on

Her design at 3.330 inches and a lower diameter limit of 3.320 inches.

Inthe engineer’s judgment, axles that fall within this range will be

Acceptably close to the target.

Is The manager of a pizza company asks his employees to put between 7 and 9 ounces of cheese on each large pizza. His goal is 8 ounces, and

He knows that having a pizza with too much or too little will lead to customer complaints.

Quality is defined by Conformance to standards or specifications. When you operate or perform within the specification limits, you have quality. When

You fall outside the limits, you have defects.

An even better definition may be this: Get as close to the target with the least

Amount of variation as possible. While specification limits are important and necessary, you want to focus on trying to hit your performance target and minimizing variation, because variation leads to defects and errors, which lead to poor quality, which leads to dissatisfied customers and business loss.

The journey from one to many

In the preceding section, quality is defined in terms of aiming for a performance target and achieving the least amount of variation possible — for one characteristic or one component. Now you can talk about quality in the overall assembly of a product, service, or transaction.

Consider the company which must operate at high levels of quality at the level of individual characteristics and components, because so many of them have

To fit and work together to make a whole product. For example, the average

Car has about 10,000 individual quality characteristics, or CTXs. That’s a lot

Of stuff that has to work together. If you work at an automotive company, how

Many cars do you make? How many papers have to get processed every day? How much material and supplies are ordered and purchased in every month? Millions upon millions — billions.

^M-Stye,. Suppose you have a die, and every time you roll the die and get a 1, that’s considered a Defect. With a six-sided die, then, you have one chance in six Ј y) \$ ) (17 percent) of rolling a defect, or a five out of six chance (83 percent) of suc -

\JjL/ Cess. But imagine now you have a pair of dice, and you roll them both together.

Now the chance of success — no defects — is only 69 percent. (We show you

How to calculate these probabilities in Chapter 6.) With three dice, the chance of rolling defect-free further decreases to 58 percent. Now image rolling 20 dice or 50 dice or 100 dice. With a hundred dice, you are almost certain to have a defect. (The actual probability of never getting a 1 when rolling 100 dice is less than one in 82 million!)

In Six Sigma, we call this concept of compounding defect risk Rolled throughput yield, And we explain it mathematically in Chapter 6. In practical terms, the reality of rolled throughput yield means you have to establish an extremely high probability of success for each individual component characteristic if

You ever expect your final products, services, and transactions to be highly successful and defect-free.

Exposing the hidden factory

Very few companies can actually achieve Six Sigma (fewer than 3.4 defects per million opportunities) or even five sigma performance (fewer

Than 233 defects per million opportunities) in

Their final products, because there are so many critical processes, process activities, machines,

People, and materials that have to interact

Along a chain of causation and span of time. Here’s an example: The chemical properties of

The catalyst, that is combined with the base material, that is mixed by the processing

Machine, that is controlled by the in-line gauges, that is operated by John, that is inspected by Sally, that is packaged by robots, that is stored in the warehouse, that is shipped to the customer via FedEx — all these have to operate in synch within certain limits of variation if the system is to reliably yield its intended outcomes. Remembering, too, that before any of this, the whole

System, including the product itself, was

Designed by a team of engineers who are by no means infallible.

If any one of the many critical activities is compromised or doesn’t function to its expectation,

Risk and error are propagated throughout the entire system. The system itself is also an

Opportunity-rich environment for hiding risk and

Error, because problems arising in one place

And time are caused in another place and time, and the space between is extremely difficult to

Navigate without the proper methodologies,

Equipment, and people.

Among Six Sigma practitioners, this reality of

Fixing the results of propagated error is known as the Hidden factory Or Hidden operation. You can almost see the wheels turning, the rework and cover ups, the hours and days of wasted

Time in a company of people who constantly

Correct mistakes. Every time a corrective action

Is taken or a machine is re-run, or a warranty claim is processed, you incur unnecessary

Rework. When you accept these events as "that’s just the way it is," you’ve mentally hidden

All of these activities from your improvement potential.

This is the hidden factory that runs in the background of all organizations. It is the factory that

Fixes problems, corrects mistakes, and otherwise wastes both time and money — a company’s two most precious commodities. Six Sigma eliminates the hidden factory, and, as a

Result, returns precious time and money back to

The business.

Watch out {or the Wiggle, bump, and jitter

Humans aren’t the only ones with variable behavior. Machines vary, too. Process inputs and outputs vary, and single characteristics vary, which causes their assemblies to vary as well.

You can see variation. You can visually plot the behavior of people, processes, products, and systems and look at it like a picture. A plot like this helps you see immediately that every characteristic you can measure has a performance

Distribution.

Furthermore, you can plot behavior today, come back next week and plot it again, and compare the difference. What if you plotted behavior one day and it looked one way, and next week it looked different? Comparing a single snapshot to the accumulated variation over time is an example of the change in

Behavior from the short term to the long term. Figure 1-4 shows two probability distributions for a critical characteristic: short term (solid line) and long term (dotted line). As you can see, in the long-term the variation in the

Behavior of the characteristic expands.

Short Term

This is a common occurrence. Here’s what’s happening. The probability of a

Defect in the short term does not account for certain changes that take place

Over the long term. Examples include the variation among different batches of incoming material, the impact of seasonal road traffic on delivery time, the different working styles and habits of different personnel. Joe may be a great machine operator, but he can’t work 24 hours a day. Eventually, he has to be relieved by Jim, who works a little differently from Joe. Each one has their

Own performance variations, but combined together it enlarges the range.

Short-term variation doesn’t necessarily refer to a specified period of time for every type of performance distribution. The time period involved in short-term performance variation for a restaurant meal is different from the period involved for the performance of electricity delivered to your home by a power plant. Chapter 5 provides more detail and understanding on why this is the case and what it means for the Six Sigma practitioner.

Wh§ six and ©h,, sigma? (Putting the pieces together)

The two preceding sections describe two interesting phenomena. One is considering performance in terms of the hundreds and often thousands of

Separate characteristics in a product, service, transaction, process, or system. Two, whatever performance level you achieve in the short term will become

Eroded over the long term. The term Six Sigma comes from the statistical basis of the approach and methodology used to address these two concerns:

The roll-up of characteristic behaviors and the natural increase in variation in each characteristic over the long-term.

The sigma scale is a universal measure of how well a critical characteristic performs compared to its requirements. The higher the sigma score, the more capable the characteristic. For example, if a critical characteristic is defective 31 percent of the time, you say that this characteristic operates at two sigma. But if it runs at 93.3 percent compliance, you say that it operates at three sigma. Table 1-2 shows the sigma scale.

Table 1-2_The Sigma Scale

Sigma_Percent Defective_Defects per Million

1 69% 691,462

2 31% 308,538

3 6.7% 66,807

4 0.62% 6,210

50.023%233

60.00034%3.4

70.0000019%0.019

If a characteristic operates at three sigma, that means that, 6.7 percent of the

Time, the variation in its performance exceeds acceptable levels. This could be an invoicing process that goes longer than the company’s allowed time limit, or a forged bolt that is manufactured longer than customer requirements.

Whatever the critical characteristic may be, if it is three sigma, it is defective 6.7 percent of the time, or 66,700 times out of a million. In Chapter 6, we explain more detail of how the sigma scale is created and why its called "sigma."

What the originators of Six Sigma discovered is that when they worked to have each critical characteristic in the system — the product, the service, the transaction — perform at a Six Sigma level, the risk of the individual characteristics being incorrect was small enough (0.00034 percent or 3.4 defects per million opportunities) that when all the parts were assembled together,

The overall system still performed at an exceptional level. And even when

Long-term effects inevitably entered into each characteristic, the overall

System performance remained high. These companies now had a method

For competing at a whole new level on the global market. That’s why six is

Themagic number.

So why six and not five sigma? Good question. For the complex products on

Which this method was originated, there were enough characteristics rolled

Together and enough long-term degradation that only six would do. Four or five sigma just didn’t provide enough relief from these two constraints.

For transactional and service companies now adopting Six Sigma, their systems and environments are often less complex — they don’t have as many critical characteristics coming together. So they don’t necessarily need to have each critical characteristic operating at Six Sigma. In these cases, four or five may actually do.

But the magnitude of the earlier success of Six Sigma has made the name stick. And almost all companies, regardless of their size or complexity, recognize the benefits of aiming for a Six Sigma goal. Even if the milestone of Six Sigma is never reached, the act of working toward that goal drives

Breakthrough changes.

There are instances where great companies are able to produce Six Sigma quality in their final products, services, and transactions — especially when

Safety or human life is involved. For example, did you know that you are

About 2,000 times more likely to reach your destination when you fly than your luggage is? That’s because airline safety operates at a level higher than Six Sigma, while baggage reliability operates at about four sigma.

Table 1-3 How Good Is Good?

99% Good (3.8 Sigma)_99.99966% Good (Six Sigma)

20,000 lost articles of mail per hour 7 articles of lost mail per hour

Unsafe drinking water for almost One unsafe minute of drinking water every 15 minutes per day seven months

5,000 incorrect surgical operations 1.7 incorrect surgical operations per week per week

2 short or long landings at major 1 short or long landing at major airports

Airports every day every five years

200,000 incorrect drug 68 incorrect drug prescriptions each year

Prescriptions each year

No electricity for almost 7 hours One hour without electricity every

Each month 34 years

11.8 million shares incorrectly 4,021 shares incorrectly traded on the

Traded on the NYSE every day NYSE every day

3 warranty claims for every 1 warranty claim for every 980 new

New automobile automobiles

48,000 to 96,000 deaths attributed 17 to 34 deaths attributed to hospital to hospital errors each yearerrors each year

Six Sigma Basics

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In this part

Six Sigma is an applied methodology for improving business and organizational performance. But before you apply the Six Sigma methodology, you can benefit from knowing what it is, where it came from, why it works and who uses it. This part provides all this so you can understand the basics of Six Sigma.

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