Statistical robust design : an industrial perspective

1 Online-Ressource (246 Seiten)

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Statistical Robust Design; Contents; 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 Introduction; 2.1.1 Noise factors; 2.1.2 Control factors; 2.1.3 Control-by-noise interactions; 2.2 Combined arrays: An example from the packaging industry; 2.2.1 The experimental array; 2.2.2 Factor effect plots; 2.2.3 Analytical analysis and statistical significance; 2.2.4 Some additional comments on the plotting

2.3 Dispersion effectsExercises; Reference; 3 Noise and control factors; 3.1 Introduction to noise factors; 3.1.1 Categories of noise; 3.2 Finding the important noise factors; 3.2.1 Relating noise to failure modes; 3.2.2 Reducing the number of noise factors; 3.3 How to include noise in a designed experiment; 3.3.1 Compounding of noise factors; 3.3.2 How to include noise in experimentation; 3.3.3 Process parameters; 3.4 Control factors; Exercises; References; 4 Response, signal, and P diagrams; 4.1 The idea of signal and response; 4.1.1 Two situations; 4.2 Ideal functions and P diagrams

4.2.1 Noise or signal factor4.2.2 Control or signal factor; 4.2.3 The scope; 4.3 The signal; 4.3.1 Including a signal in a designed experiment; Exercises; 5 DOE for robust design, part 2; 5.1 Combined and crossed arrays; 5.1.1 Classical DOE versus DOE for robust design; 5.1.2 The structure of inner and outer 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 randomization5.4.2 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; 6.2.1 Failure modes; 6.2.2 STB with inner and outer arrays; 6.2.3 STB with combined arrays; 6.3 Larger-the-better; 6.4 Operating window; 6.4.1 The window width; Exercises; References; 7 Regression for robust design; 7.1 Graphical techniques; 7.2 Analytical minimization of (g′(z))2; 7.3 Regression and crossed arrays; 7.3.1 Regression terms in the inner array; Exercises

8 Mathematics of robust design8.1 Notational system; 8.2 The objective function; 8.2.1 Multidimensional problems; 8.2.2 Optimization in the presence of a signal; 8.2.3 Matrix formulation; 8.2.4 Pareto optimality; 8.3 ANOVA for robust design; 8.3.1 Traditional ANOVA; 8.3.2 Functional ANOVA; 8.3.3 Sensitivity indices; Exercises; References; 9 Design and analysis of computer experiments; 9.1 Overview of computer experiments; 9.1.1 Robust design; 9.2 Experimental arrays for computer experiments; 9.2.1 Screening designs; 9.2.2 Space filling designs; 9.2.3 Latin hypercubes

9.2.4 Latin hypercube designs and alphabetical optimality criteria

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