1 Some Auxiliary Results: Monotonicity Properties of Probability Distributions. - 1. 1. Introduction. - 1. 2. Ordered Families of Distributions. - 1. 3. Probability Integrals of Multivariate Normal Distribution Dependence on Correlations. - 1. 4. Dependence and Association of Random Variables. - 1. 5. Majorization in Multivariate Distribution. - 2 Multiple Decision Theory: A General Approach. - 3 Modified Minimax Decision Procedures. - 3. 1. Introduction. - 3. 2. The Problem of Selecting Good Populations with Respect to A Control. - 3. 3. On the Problem of Selecting the Best Population. - 3. 4. Essentially Complete Classes of Decision Procedures. - 4 Invariant Decision Procedures. - 4. 1. Introduction. - 4. 2. Selecting the Best Population. - 5 Robust Selection Procedures: Most Economical Multiple Decision Rules. - 5. 1. Introduction. - 5. 2. Robust Selection Rules. - 6 Multiple Decision Procedures Based on Tests. - 6. 1. Introduction. - 6. 2. Conditional Confidence Approach. - 6. 3. Multiple Comparison Procedures. - 6. 4. Multiple Range Tests. - 6. 5. Multistage Comparison Procedures. Language: English