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Optimum Designs for Multi-Factor Models

Lecture Notes in Statistics 113

Erschienen am 02.05.1996
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ISBN/EAN: 9780387947457
Sprache: Englisch
Umfang: 124 S.
Einband: kartoniertes Buch

Beschreibung

InhaltsangabeI General Concepts.- 1 Foundations.- 1.1 The Linear Model.- 1.2 Designed Experiments.- 2 A Review on Optimum Design Theory.- 2.1 Optimality Criteria.- 2.2 Equivalence Theorems.- 3 Reduction Principles.- 3.1 Orthogonalization and Refinement.- 3.2 Invariance.- II Particular Classes of Multi-factor Models.- 4 Complete Product-Type Interactions.- 5 No Interactions.- 5.1 Additive Models.- 5.2 Orthogonal Designs.- 6 Partial Interactions.- 6.1 Complete M-factor Interactions.- 6.2 Invariant Designs.- 7 Some Additional Results.- Appendix on Partitioned Matrices.- References.- List of Symbols.

Inhalt

Contents: Part I: General Concepts.- Foundations.- A Review of Optimum Design Theory.- Reduction Principles. Part II: Particular Classes of Multi-factor Models.- Complete Product-type Interactions.- No Interactions.- Partial Interactions.- Some Additional Results.