Magnus Arner 
Statistical Robust Design 
An Industrial Perspective

A UNIQUELY PRACTICAL APPROACH TO ROBUST DESIGN FROM A
STATISTICAL AND ENGINEERING PERSPECTIVE

Variation in environment, usage conditions, and the
manufacturing process has long presented a challenge in product
engineering, and reducing variation is universally recognized as a
key to improving reliability and productivity. One key and
cost-effective way to achieve this is by robust design –
making the product as insensitive as possible to variation.

With Design for Six Sigma training programs primarily in mind,
the author of this book offers practical examples that will help to
guide product engineers through every stage of experimental design:
formulating problems, planning experiments, and analysing data. He
discusses both physical and virtual techniques, and includes
numerous exercises and solutions that make the book an ideal
resource for teaching or self-study.

* Presents a practical approach to robust design through
design of experiments.

* Offers a balance between statistical and industrial
aspects of robust design.

* Includes practical exercises, making the book useful for
teaching.

* Covers both physical and virtual approaches to robust
design.

* Supported by an accompanying website (href=’http://www.wiley/com/go/robust’>www.wiley/com/go/robust)
featuring MATLAB® scripts and solutions to exercises.

* Written by an experienced industrial design
practitioner.

This book’s state of the art perspective will be of
benefit to practitioners of robust design in industry, consultants
providing training in Design for Six Sigma, and quality engineers.
It will also be a valuable resource for specialized university
courses in statistics or quality engineering.

Spis treści

Preface

1 What is Robust Design?

1.1 The Importance of Small Variation

1.2 Variance Reduction

1.3 Variation Propagation

1.4 Discussion

1.4.1 Limitations

1.4.2 The outline of this book

Exercises

2 DOE for Robust Design, Part 1

2.1 Combined Arrays: An Example

2.2 Dispersion Effects

Exercises

References

3 Noise and Control Factors

3.1 Introduction to Noise Factors

3.2 Finding the Important Noise Factors

3.2.1 Reducing the number of noise factors

3.3 How to Include Noise in a Designed Experiment

3.3.1 How to include noise in experimentation

3.4 Control Factors

Exercises

References

4 Response, Signal, and P diagrams

4.1 The Idea of Signal and Response

4.2 Ideal Functions and P Diagrams

4.3 The Signal

Exercises

5 DOE for Robust Design, Part 2

5.1 Combined and Crossed Arrays

5.2 Including a Signal in a Designed Experiment

5.2.1 Combined arrays with a signal

5.2.2 Inner and outer arrays with a signal

5.3 Crossed Arrays versus Combined Arrays

5.3.1 Differences in factor aliasing

5.4 Crossed Arrays and Split-Plot Designs

5.4.1 Limits of randomization

5.4.2 Split-plot designs

Exercises

References

6 Smaller-the-Better and Larger-the-Better

6.1 Different Types of Responses

6.2 Failure Modes and Smaller-the-Better

6.3 Larger-the-Better

6.4 Operating Window

Exercises

References

7 Regression for Robust Design

7.1 Graphical Techniques

7.2 Analytical Minimization of (g0(z))2

7.3 Regression and Crossed Arrays

Exercises

8 Mathematics of Robust Design

8.1 Notational System

8.2 The Objective Function

8.2.1 Multidimensional problems

8.2.2 Pareto optimality

8.3 ANOVA for Robust Design

8.3.1 Traditional ANOVA

8.3.2 Functional ANOVA

Exercises

References

9 Design and Analysis of Computer Experiments

9.1 Overview of Computer Experiments

9.2 Experimental Arrays for Computer Experiments

9.2.1 Screening designs

9.2.2 Space filling designs

9.3 Response Surfaces

9.4 Optimization

Exercises

References

10 Monte Carlo Methods for Robust Design

10.1 Geometry Variation

10.2 Geometry Variation in Two Dimensions

10.3 Crossed Arrays

11 Taguchi and His Ideas on Robust Design

11.1 The Experimental Arrays

11.1.1 The nature of inner arrays

11.1.2 Crossing the arrays

11.2 Signal to Noise Ratios

11.3 Some Other Ideas

Exercises

References

Appendix A Loss Functions

Exercises

References

Appendix B Data to chapter 2

Appendix C Data to chapter 5

Appendix D Data to chapter 6

Index

O autorze

Magnus Arnér, Tetra Pak Packaging Solutions,
Sweden