Design and Analysis of Experiments, Volume 3 Special Designs and Applications

by Hinkelmann, Klaus

• ISBN13: 9780470530689
• ISBN10: 0470530685
• Edition: 1st
• Format: Hardcover
• Copyright: 2012-02-14
• Publisher: Wiley

Summary

This book discusses special modifications and extensions of designs that arise in certain fields of application such as genetics, bioinformatics, agriculture, medicine, manufacturing, marketing, etc. Well-known and highly-regarded contributors have written individual chapters that have been extensively reviewed by the Editor to ensure that each individual contribution relates to material found in Volumes 1 and 2 of this book series. The chapters in Volume 3 have an introductory/historical component and proceed to a more advanced technical level to discuss the latest results and future developments in the field. Thus, Volume 3 serves as supplement to both Volume 1 and Volume 2 and is also accessible not only to statistics graduate students, but also to non-statistical readers. Where appropriate, numerical examples using the statistical software SAS® are included in the book. Topical coverage includes: genetic cross experiments; designs for microarrays; incomplete cross-over designs; clinical trials; group sequential designs; adaptive designs; choice experiments; taste-testing experiments; grazing experiments; inter-cropping and competition designs; greenhouse experiments; long-term agricultural experiments; designs for circular and directional data; trend-free designs; one-at-a-time factorial designs; sequential fractional factorial designs; irregular fractional factorial designs; split-plot type response surface designs; multi-response designs; and computer experiments.

Author Biography

KLAUS HINKELMANN, PhD, is Professor Emeritus of Statistics at the Virginia Polytechnic Institute and State University Department of Statistics. A Fellow of the American Statistical Association and the American Association for the Advancement of Science, Dr. Hinkelmann has published extensively in the areas of design of experiments, statistical methods, and biometry.

Table of Contents

Preface	p. xvii
Contributors	p. xxi
Genetic Crosses Experiments	p. 1
Introduction	p. 1
Basic Objectives and Models	p. 2
Diallel Mating Design of Type I	p. 8
Diallel Crosses: Type II Designs	p. 14
Partial Diallel Crosses: No Blocking or Complete Blocks	p. 25
Partial Diallel Crosses in Incomplete Blocks	p. 32
Optimality	p. 44
Robustness	p. 59
Three- or Higher-Way Crosses	p. 61
Computation	p. 65
Design of Gene Expression Microarray Experiments	p. 73
Introduction	p. 73
Gene Expression Microarray Technology	p. 74
Preprocessing of Microarray Fluorescence Intensities, 76 2.4
Introduction to Gene Expression Microarray Experimental Design	p. 80
Two-Treatment Experiments Using Two-Color Microarrays	p. 81
Two-Color Microarray Experiments Involving More Than Two Treatments	p. 86
Multifactor Two-Color Microarray Experiments	p. 89
Phase 2 Designs for Complex Phase 1 Designs	p. 94
Spatial Analysis of Agricultural Field Experiments	p. 109
Introduction	p. 109
Methods to Account for Spatial Variation	p. 110
A Spatial Linear Mixed Model	p. 116
Analysis of Examples	p. 122
Optimal Designs for Generalized Linear Models	p. 137
Introduction	p. 137
Notation and Basic Concepts	p. 141
Tools for Finding Locally Optimal Designs	p. 145
GLMs with Two Parameters	p. 149
GLMs with Multiple Parameters	p. 155
Summary and Concluding Comments	p. 161
Design and Analysis of Randomized Clinical Trials	p. 165
Overview	p. 165
Components of a Randomized Clinical Trial	p. 168
Bias	p. 175
Statistical Analysis of Randomized Clinical Trials	p. 182
Failure Time Studies	p. 184
Other Topics	p. 206
Monitoring Randomized Clinical Trials	p. 213
Introduction	p. 213
Normally Distributed Outcomes	p. 215
Brownian Motion Properties	p. 217
Brief Historical Overview of Group Sequential Methods	p. 219
Dichotomous Outcomes	p. 223
Time-to-Event Outcomes	p. 225
Unconditional Power	p. 227
Conditional Power	p. 229
Spending Functions	p. 232
Flexibility and Properties of Spending Functions	p. 233
Modifying the Trial's Sample Size Based on a Nuisance Parameter	p. 235
Sample Size Modification Based on the Interim Treatment Effect	p. 240
Concluding Remarks	p. 246
Adaptive Randomization in Clinical Trials	p. 251
Introduction	p. 251
Adaptive Randomization Procedures	p. 252
Likelihood-Based Inference	p. 264
Randomization-Based Inference	p. 269
Conclusions and Practical Considerations	p. 276
Search Linear Model for Identification and Discrimination	p. 283
Introduction	p. 283
General Linear Model with Fixed Effects	p. 284
Search Linear Model	p. 285
Applications	p. 288
Effects of Noise in Performance Comparison	p. 293
Minimum Aberration and Related Criteria for Fractional Factorial Designs	p. 299
Introduction	p. 299
Projections of Fractional Factorial Designs	p. 302
Estimation Capacity	p. 304
Clear Two-Factor Interactions	p. 307
Estimation Index	p. 310
Estimation Index, Minimum Aberration, and Maximum Estimation Capacity	p. 314
Complementary Design Theory for Minimum Aberration Designs	p. 315
Nonregular Designs and Orthogonal Arrays	p. 317
Generalized Minimum Aberration	p. 320
Optimal Fractional Factorial Block Designs	p. 322
Designs for Choice Experiments for the Multinomial Logit Model	p. 331
Introduction	p. 331
Definitions	p. 332
The MNL Model	p. 335
Design Comparisons	p. 338
Optimal Designs for DCEs	p. 340
Using Combinatorial Designs to Construct DCEs	p. 364
Bayesian Work	p. 368
Best-Worst Experiments	p. 368
Miscellaneous Topics	p. 370
Computer Experiments	p. 379
Introduction	p. 379
Sensitivity/Uncertainty Analysis	p. 382
Gaussian Stochastic Process Models	p. 385
Inference	p. 389
Experimental Designs	p. 398
Multivariate Output	p. 403
Multiple Data Sources	p. 406
Conclusion	p. 409
Designs for Large-Scale Simulation Experiments, with Applications to Defense and Homeland Security	p. 413
Introduction	p. 413
Philosophy: Evolution of Computational Experiments	p. 414
Application: U.S. Army Unmanned Aerial Vehicle (UAV) Mix Study	p. 422
Parting Thoughts	p. 437
Robust Parameter Designs	p. 443
Introduction	p. 443
Taguchi Signal-to-Noise Ratio Approach	p. 445
Dual Model Response Surface Methodology	p. 448
Single Model Response Surface Methods Using Combined Arrays	p. 451
Computer Generated Combined Arrays	p. 461
RPD Involving Quantitative and Qualitative Factors	p. 465
Conclusions	p. 466
Split-Plot Response Surface Designs	p. 471
Introduction	p. 471
Differences between Agricultural and Industrial Experimentation	p. 472
OLS-GLS Equivalent Second-Order Split-Plot Designs and Analysis	p. 482
Exact Tests for the Coeffi cients	p. 488
Proper Residuals for Checking Assumptions	p. 493
"Optimal" Second-Order Split-Plot Designs	p. 496
Design and Analysis of Experiments for Directional Data	p. 501
Summary	p. 501
Introduction and Historical Background	p. 501
ANOVA for Circular Data	p. 509
ANOVA for Cylindrical Data	p. 521
ANOVA for Spherical Data	p. 524
Conclusions	p. 530
References	p. 531
Author Index	p. 533
Subject Index	p. 545
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