Practical Experiment Designs for Engineers and Scientists

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

ISBN: 9780471390541 | 0471390542
Cover: Paperback
Copyright: 2/5/2001

Buy New

Print on Demand: 2-4 Weeks. This item cannot be cancelled or returned.

$182.76

Most books cover the subject from a statistical or theoretical point of view. Ideal for working engineers, this book uses real-world examples and boils statistical theory and analysis down to its simplest form. * Features new and updated material, including cases and a larger focus on multivariate analysis. * Uses simple analysis tools for practical implementation on the job. * Targets experiment planning as the groundwork for quality experiments.

Preface

xiii

Acknowledgments

xvi

PART One Fundamentals of Experiment Design

(90)

Introduction to Experiment Design: Fundamental Concepts

(15)

Origin of Bad Experiments

(2)

Philosophy for Good Experiments

(1)

Project Strategy

(1)

Experiment Strategy

(1)

Perceptions of Reality

(11)

Theology for Experimenters

(3)

Populations

(1)

Distributions

(3)

Means and Variances

(4)

Introduction to Experiment Design: Elements of Decision Making

(26)

Stating the Alternative Decisions

(2)

Defining the Risks

(3)

Establishing an Objective Criterion

(5)

One Population Sampled

(3)

Two Populations Sampled

(1)

Computing the Sample Size

(3)

Importance of N

(3)

Choosing α, β, and δ

(5)

Operating Characteristic Curves

(2)

Power Curves

(3)

Simple Comparative Experiments: Decisions About Population Means

(27)

Variance or Variances Are Known

(5)

H0:μ1 = μ0; Variance is Known

(2)

H0:μ1 = μ2; Variances Are Equal and Known

(2)

H0:μ1 = μ2; Variances Are Not Equal and Both Are Known

(1)

Variance or Variances Are Unknown

(10)

H0:μ1 = μ0; Variance is Unknown

(4)

H0:μ1 = μ2; Variances Are Equal and Unknown

(2)

H0:μ1 = μ2; Variances Are Not Equal and Are Unknown

(3)

Sample Estimate of Variance Is Known

(4)

H0:μA = μ0; S2 Is Known

(1)

H0:μA = μB; S2 Is Known and &sigma 2/a = &sigma 2/b

(1)

H0:μA = μB; S2A and S2B Are Known and σ2/a = &sigma 2/B

(1)

Special Cases

(6)

Special Case 1 (Paired Comparisons)

(2)

Special Case 2 (Some Data Lost)

(4)

Simple Comparative Experiments: Decisions About Population Variances

(11)

Sample Size

(2)

Criterion Values

(9)

H0: σ 2/1 = σ 2/0; Ha: σ 2/1 < σ2/0

(1)

H0: σ 2/1 = σ 2/0; Ha: σ 2/1 > σ2/0

(1)

H0: σ 2/1 = σ 2/0; Ha: σ 2/1 ν σ2/0

(1)

Combined Problem: Ha1 : mu;A ν μB; H a2: σ 2/a ν σ2/b

(1)

H0: μA = μB; Assumed &sigma 2/A = σ 2/B

(4)

Sequential Experiments

(9)

σ 2 Is Known; Ha: μ1 > μ0

(2)

σ 2 Is Known; Ha: μ1 ν μ0

(2)

σ 2 Is Unknown; Ha: μ1 > μ0

(4)

PART Two Two-Level Multivariable Experiments

(170)

Two-Level Multivariable Experiments: Eight-Trial Hadamard Matrix Designs

(37)

Introduction to Matrix Experiments

(4)

Other Advantages of Matrix Experiment Design

(1)

Construction of Hadamard Matrices

(2)

Use of the 8 x 8 Hadamard Matrix

100

(1)

One Variable, Each Treatment Combination Replicated Four Times

101

(2)

Two Variables, Each Treatment Combination Replicated Twice

103

(6)

Three Variables

109

(6)

Four Variables (Resolution IV Design)

115

(6)

Five, Six, or Seven Variables (Resolution III Designs)

121

(9)

Two-Level Multivariable Experiments: Hadamard Matrices Greater Than Order 8

130

(20)

16-Trial Designs

132

(2)

32-Trial Designs

134

(1)

64-Trial Designs

135

(1)

128-Trial Designs

136

(1)

Smoak Modified Designs for Resolution IV Designs

136

(3)

Other Hadamard Matrices Not of Order 2n

139

(9)

Summary

148

(2)

John's Three-Quarter Fractional Factorials

150

(25)

Resolution V Designs

150

(13)

Four Variables in 12 Trials

151

(7)

Seven and Eight Variables in 48 Trials

158

(4)

Nine to 11 Variables in 96 Trials

162

(1)

Resolution IV Designs

163

(12)

Three Variables in Six Trials

163

(1)

Five or Six Variables in 12 Trials

164

(2)

Nine to 12 Variables in 24 Trials

166

(1)

Seventeen to 24 Variables in 48 Trials

167

(1)

Thirty-Three to 48 Variables in 96 Trials

167

(8)

Unbalanced Resolution V Designs

175

(20)

Class A Designs

176

(9)

Six-Variable, 28-Trial Design

176

(5)

Seven-Variable, 36-Trial Design

181

(2)

Eight-Variable, 44-Trial Design

183

(2)

Nine- to 11-Variable Designs

185

(1)

Class B Designs

185

(6)

Seven-Variable, 38-Trial Design

185

(3)

Eight-Variable, 46-Trial Design

188

(1)

Nine-Variable, 71-Trial Design

189

(1)

Twelve-Variable, 143-Trial Design

190

(1)

Class AB Designs

191

(4)

Resolution V Designs with Efficiency = 1

195

(5)

Three-Variable Designs

196

(1)

Four-Variable Designs

197

(1)

Five-Variable Designs

197

(1)

Six and Higher Numbers of Variables

198

(2)

Hadamard Matrix Designs for Binomial and Poisson Responses

200

(8)

Binomial

200

(4)

Poisson

204

(4)

Summary of Two-Level Matrix Designs

208

(7)

A Computer Program for Generating Hadamard Matrix Designs and Analyzing the Data from Such Designs

215

(28)

Designing the Experiment

216

(5)

Example of Saturated Resolution III Designs: 15 Variables in 16 Trials, Not Using the START Program, and Coding the Levels of the Variables as 0 or 1

217

(1)

Example of Saturated Resolution IV Designs: John's Three-Quarter Fractional Factorial with Six Variables in 12 Trials, Not Using the START Program, and Coding the Levels of the Variables as 0 or 1

218

(1)

Example of Resolution IV Designs: John's Three-Quarter Fractional Factorial with Nine Variables in 24 Trials, Using the START Program, and Using the Actual Levels of the Variables

219

(1)

Example of Saturated Resolution III Designs: 15 Variables in 16 Trials, Not Using the START Program, and Using the Actual Levels of the Variables

220

(1)

Analyzing the DAta

221

(22)

Example of Resolution V Designs: Four Variables in 16 Trials

221

(1)

Example of Saturated Resolution IV Designs: Eight Variables in 16 Trials

222

(1)

Example of Resolution III Designs: 13 Variables in 16 Trials

223

(1)

Example of John's Three-Quarter Fractional Factorial: Nine Variables in 24 Trials

224

(2)

Appendix 1: APL Computer Program Coding

226

(8)

Appendix 2: Confounding of Two-Factor Interactions in Resolution IV Design

234

(9)

Analysis of Goodness

243

(8)

Alternative Methods of Analysis

251

(10)

PART Three Multilevel Multivariable Experiments

261

(66)

Multilevel Experiments with Qualitative Variables

263

(18)

Use of ANOVA

264

(8)

Latin and Greco-Latin Squares

272

(9)

Multilevel Experiments with Quantitative Variables

281

(28)

Central Composite Rotatable Designs

282

(6)

Designs for Experiments Where the Levels of Some of the Variables Are Different

288

(7)

16-Trial Experiment Designs with Variables at Two Levels and Three Levels

295

(3)

Two Variables at Two Levels and One Variable at Three Levels

295

(1)

Three Variables at Two Levels and One Variable at Three Levels

295

(1)

Main Effects

296

(1)

Interactions

297

(1)

Two Variables at Two Levels and Two Variables at Three Levels

297

(1)

Four Variables at Two Levels and One Variable at Three Levels

298

(1)

32-Trial Experiment Designs with Variables at Two Levels and Three Levels

298

(5)

64-Trial Experiment Designs with Variables at Two Levels and Three Levels

303

(3)

Other Multilevel Experiment Designs

306

(3)

Experiment Designs for Chemical Composition Experiments

309

(13)

Extreme-Vertices Designs

309

(6)

Simplex Designs

315

(7)

Random-Strategy Experiments

322

(5)

PART Four Related Topics

327

(62)

Blocking an Experiment

329

(6)

Validation of Test Methods

335

(13)

Concepts for a Complete Project Strategy

348

(21)

Project Definition

353

(1)

Planning the Project

353

(2)

Design of the First Experiment

355

(2)

Design of the Second Experiment

357

(5)

Design of the Third Experiment

362

(5)

Design of the Fourth Experiment

367

(2)

Project Engineer's Game

369

(9)

Project Assignment

370

(1)

Use of the Computer Program

370

(1)

Playing the Game

371

(1)

Other Project Engineer Games

372

(6)

Appendix: Computer Program and Response Equation for Project Engineer's Game

373

(3)

Instructions for Game Director

376

(1)

Min and Max Values of Variables

376

(1)

Response Equations

376

(2)

Estimation of Variance

378

(6)

Testing Distributions

384

(5)

One Population

384

(2)

Two Populations

386

(3)

PART Five General References, Symbols, Tables, and Answers to Exercises

389

(30)

General References

391

(6)

Symbols

397

(2)

Tables

399

(15)

Answers to Exercises

414

(5)

Index

419

FREE SHIPPING

Rent More, Save More! Use code: BBRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Practical Experiment Designs for Engineers and Scientists

Summary

Author Biography

Table of Contents

Supplemental Materials