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 development.

Design and Analysis of Experiments; Contents; Preface; Contributors; CHAPTER 1: Genetic Crosses Experiments; 1.1 INTRODUCTION; 1.2 BASIC OBJECTIVES AND MODELS; 1.2.1 Generation Mean Analysis; 1.2.2 Generation Variance Analysis; 1.2.3 Covariance between Relatives; 1.2.4 Mating (M) and Environmental (E) Designs; 1.2.5 Fixed Effects and Random Effects Models; 1.3 DIALLEL MATING DESIGN OF TYPE I; 1.3.1 North Carolina Design I (NCI); 1.3.2 North Carolina Design II (NCII); 1.3.3 Sets of North Carolina Design II; 1.3.4 North Carolina Design III (NCIII); 1.3.5 Line x Tester Approach. 1.3.6 A Modified Line x Tester Approach; 1.4 DIALLEL CROSSES: TYPE II DESIGNS; 1.4.1 Hayman Approach for Diallel Analysis; 1.4.2 Griffing's Method; 1.5 PARTIAL DIALLEL CROSSES: NO BLOCKING OR COMPLETE BLOCKS; 1.6 PARTIAL DIALLEL CROSSES IN INCOMPLETE BLOCKS; 1.6.1 Construction of Mating-Environment Designs; 1.6.2 Analysis of M-E Design; 1.6.3 An Example of PDC in Incomplete Blocks; 1.6.4 Other M-E Designs; 1.7 OPTIMALITY; 1.7.1 Optimal CDC Designs for Estimation of gca; 1.7.2 Optimal Partial Diallel Crosses; 1.7.3 Estimation of Heritability; 1.8 ROBUSTNESS; 1.9 THREE- OR HIGHER-WAY CROSSES. 1.9.1 Triallel or Three-Way Crosses; 1.9.2 Double- or Four-Way Crosses; 1.10 COMPUTATION; ACKNOWLEDGMENTS; REFERENCES; CHAPTER 2: Design of Gene Expression Microarray Experiments; 2.1 INTRODUCTION; 2.2 GENE EXPRESSION MICROARRAY TECHNOLOGY; 2.2.1 Introduction; 2.2.2 Definition of a Microarray; 2.2.3 Using Microarrays to Measure Gene Expression; 2.2.4 Types of Gene Expression in Microarrays; 2.3 PREPROCESSING OF MICROARRAY FLUORESCENCE INTENSITIES; 2.3.1 Introduction; 2.3.2 Background Correction; 2.3.3 Normalization; 2.3.4 Summarization. 2.4 INTRODUCTION TO GENE EXPRESSION MICROARRAY EXPERIMENTAL DESIGN; 2.5 TWO-TREATMENT EXPERIMENTS USING TWO-COLOR MICROARRAYS; 2.6 TWO-COLOR MICROARRAY EXPERIMENTS INVOLVING MORE THAN TWO TREATMENTS; 2.7 MULTIFACTOR TWO-COLOR MICROARRAY EXPERIMENTS; 2.7.1 Introduction; 2.7.2 Admissible Designs; 2.7.3 w-Optimal Designs; 2.7.4 e-Efficiency; 2.8 PHASE 2 DESIGNS FOR COMPLEX PHASE 1 DESIGNS; REFERENCES; CHAPTER 3: Spatial Analysis of Agricultural Field Experiments; 3.1 INTRODUCTION; 3.2 METHODS TO ACCOUNT FOR SPATIAL VARIATION; 3.2.1 Design of Experiments; 3.2.2 Spatial Analysis Methods. 3.3 A SPATIAL LINEAR MIXED MODEL; 3.3.1 Estimation, Prediction and Testing; 3.3.2 The Spatial Modeling Process; 3.4 ANALYSIS OF EXAMPLES; 3.4.1 Herbicide Tolerance Trial; 3.4.2 Variety Trial; REFERENCES; CHAPTER 4: Optimal Designs for Generalized Linear Models; 4.1 INTRODUCTION; 4.2 NOTATION AND BASIC CONCEPTS; 4.2.1 Binary Data; 4.2.2 Count Data; 4.2.3 Optimality Criteria; 4.3 TOOLS FOR FINDING LOCALLY OPTIMAL DESIGNS; 4.3.1 Traditional Approaches; 4.3.2 An Analytical Approach; 4.4 GLMs WITH TWO PARAMETERS; 4.5 GLMs WITH MULTIPLE PARAMETERS; 4.5.1 GLMs with Multiple Covariates. 4.5.2 GLMs with Group Effects.