Design of Experiments with MINITAB

Design of Experiments with MINITAB

5.0 1
by Paul G. Mathews

ISBN-10: 0873896378

ISBN-13: 9780873896375

Pub. Date: 10/31/2004

Publisher: ASQ Quality Press

Most of the classic DOE books were written before DOE software was generally available, so the technical level that they assumed was that of the engineer or scientist who had to write his or her own analysis software. In this practical introduction to DOE, guided by the capabilities of the common software packages, Paul Mathews presents the basic types and methods of


Most of the classic DOE books were written before DOE software was generally available, so the technical level that they assumed was that of the engineer or scientist who had to write his or her own analysis software. In this practical introduction to DOE, guided by the capabilities of the common software packages, Paul Mathews presents the basic types and methods of designed experiments appropriate for engineers, scientists, quality engineers, and Six Sigma Black Belts and Master Black Belts. Although instructions in the use of MINITAB are detailed enough to provide effective guidance to a new MINITAB user, the book is still general enough to be very helpful to users of other DOE software packages.

Every chapter contains many examples with detailed solutions including extensive output from MINITAB.

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ASQ Quality Press
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Table of Contents

Chapter 1Graphical Presentation of Data1
1.2Types of Data1
1.3Bar Charts2
1.6Stem-and-Leaf Plots4
1.7Box-and-Whisker Plots5
1.8Scatter Plots6
1.9Multi-Vari Charts7
1.10An Introduction to MINITAB9
Chapter 2Descriptive Statistics19
2.2Selection of Samples19
2.3Measures of Location20
2.4Measures of Variation21
2.5The Normal Distribution26
2.7MINITAB Commands to Calculate Descriptive Statistics34
Chapter 3Inferential Statistics37
3.2The Distribution of Sample Means ([sigma] Known)38
3.3Confidence Interval for the Population Mean ([sigma] Known)41
3.4Hypothesis Test for One Sample Mean ([sigma] Known)42
3.5The Distribution of Sample Means ([sigma] Unknown)52
3.6Hypothesis Tests for Two Means56
3.7Inferences About One Variance (Optional)61
3.8Hypothesis Tests for Two Sample Variances65
3.9Quick Tests for the Two-Sample Location Problem68
3.10General Procedure for Hypothesis Testing73
3.11Testing for Normality75
3.12Hypothesis Tests and Confidence Intervals with MINITAB79
3.13Sample-Size Calculations82
Chapter 4DOE Language and Concepts93
4.2Design of Experiments: Definition, Scope, and Motivation93
4.3Experiment Defined94
4.4Identification of Variables and Responses94
4.5Types of Variables96
4.6Types of Responses97
4.8Types of Experiments99
4.9Types of Models100
4.10Selection of Variable Levels105
4.11Nested Variables106
4.13Definition of Design in Design of Experiments107
4.14Types of Designs108
4.16Replication and Repetition113
4.19Occam's Razor and Effect Heredity118
4.20Data Integrity and Ethics119
4.21General Procedure for Experimentation120
4.22Experiment Documentation136
4.23Why Experiments Go Bad139
Chapter 5Experiments for One-Way Classifications143
5.2Analysis by Comparison of All Possible Pairs Means144
5.3The Graphical Approach to ANOVA145
5.4Introduction to ANOVA147
5.5The Sum of Squares Approach to ANOVA Calculations155
5.6The Calculating Forms for the Sums of Squares159
5.7ANOVA for Unbalanced Experiments160
5.8After ANOVA: Comparing the Treatment Means161
5.9ANOVA with MINITAB167
5.10The Completely Randomized Design172
5.11Analysis of Means176
5.12Response Transformations177
5.13Sample Size for One-Way ANOVA185
5.14Design Considerations for One-Way Classification Experiments188
Chapter 6Experiments for Multi-Way Classifications191
6.2Rationale for the Two-Way ANOVA192
6.3The Sums of Squares Approach for Two-Way ANOVA (One Replicate)202
6.5Interpretation of Two-Way Experiments210
6.6Factorial Designs213
6.7Multi-Way Classification ANOVA with MINITAB215
6.8Design Considerations for Multi-Way Classification Designs227
Chapter 7Advanced ANOVA Topics231
7.1Incomplete Factorial Designs231
7.2Latin Squares and Other Squares232
7.3Fixed and Random Variables235
7.4Nested Designs248
7.5Power Calculations250
Chapter 8Linear Regression273
8.2Linear Regression Rationale273
8.3Regression Coefficients277
8.4Linear Regression Assumptions282
8.5Hypothesis Tests for Regression Coefficients285
8.6Confidence Limits for the Regression Line289
8.7Prediction Limits for the Observed Values290
8.9Linear Regression with MINITAB299
8.10Transformations to Linear Form301
8.11Polynomial Models306
8.12Goodness of Fit Tests309
8.13Errors in Variables316
8.14Weighted Regression317
8.15Coded Variables318
8.16Multiple Regression320
8.17General Linear Models327
8.18Sample Size Calculations for Linear Regression337
8.19Design Considerations for Linear Regression345
Chapter 9Two-Level Factorial Experiments347
9.2The 2[superscript 1] Factorial Experiment347
9.3The 2[superscript 2] Factorial Experiment351
9.4The 2[superscript 3] Factorial Design362
9.5The Addition of Center Cells to 2[superscript k] Designs367
9.6General Procedure for Analysis of 2[superscript k] Designs370
9.72[superscript k] Factorial Designs in MINITAB372
9.8Extra and Missing Values389
9.9Propagation of Error390
9.10Sample Size and Power392
9.11Design Considerations for 2[superscript k] Experiments397
Chapter 10Fractional Factorial Experiments399
10.2The 2[superscript 5-1] Half-Fractional Factorial Design400
10.3Other Fractional Factorial Designs406
10.4Design Resolution407
10.5The Consequences of Confounding411
10.6Fractional Factorial Designs in MINITAB415
10.7Interpretation of Fractional Factorial Designs421
10.8Plackett-Burman Designs432
10.9Sample-Size Calculations432
10.10Design Considerations for Fractional Factorial Experiments434
Chapter 11Response-Surface Experiments437
11.2Terms in Quadratic Models438
11.32[superscript k] Designs with Centers441
11.43[superscript k] Factorial Designs443
11.5Box-Behnken Designs444
11.6Central Composite Designs448
11.7Comparison of the Response-Surface Designs453
11.8Response Surface Designs in MINITAB458
11.9Sample-Size Calculations466
11.10Design Considerations for Response-Surface Experiments474
Appendix AStatistical Tables477
A.1Greek Characters477
A.2Normal Distribution: Values of p = [Phi (-infinity less than sign z less than sign z subscript p])478
A.3Student's t Distribution: Values of t[subscript p] where P ([t subscript p less than sign t less than sign infinity]) = p480
A.4X[superscript 2] Distribution: Values of X[superscript 2 subscript p] where P ([0 less than sign X superscript 2 less than sign X superscript 2 subscript p]) = p481
A.5F Distribution: Values of F[subscript p] where P ([F subscript p less than sign F less than sign infinity]) = p482
A.6Critical Values for Duncan's Multiple Range Test [characters not reproducible]484
A.7Critical Values of the Studentized Range Distribution (Q[subscript 0.05](k))485
A.8Critical Values for the One-Way Analysis of Means [characters not reproducible]486
A.9Fisher's Z Transformation: Values of Z = 1/2ln(1+r / 1-r)487

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