Includes bibliographical references (p. [113]-119) and index.
CONTENTS NOTE
Text of Note
1. Foundations -- 2. A Review on Optimum Design Theory -- 3. Reduction Principles -- 4. Complete Product-Type Interactions -- 5. No Interactions -- 6. Partial Interactions -- 7. Some Additional Results -- Appendix on Partitioned Matrices.
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SUMMARY OR ABSTRACT
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In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this volume introduces the theory of optimum designs for complex models. It also develops general methods of reduction of marginal problems for large classes of models with relevant interaction structures. Familiarity with the statistical theory of linear models is desirable, but not necessary.