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Optimum Designs for Multi-Factor Models / Edition 1

Optimum Designs for Multi-Factor Models / Edition 1

by Rainer Schwabe
Optimum Designs for Multi-Factor Models / Edition 1
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ISBN-10:
0387947450
ISBN-13:
9780387947457
Pub. Date:
05/02/1996
Publisher:
Springer New York
ISBN-10:
0387947450
ISBN-13:
9780387947457
Pub. Date:
05/02/1996
Publisher:
Springer New York
Optimum Designs for Multi-Factor Models / Edition 1

Optimum Designs for Multi-Factor Models / Edition 1

by Rainer Schwabe

Overview

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 book introduces the theory of optimum designs for complex models and develops general methods of reduction to marginal problems for large classes of models with relevant interaction structures.

Product Details

ISBN-13: 9780387947457
Publisher: Springer New York
Publication date: 05/02/1996
Series: Lecture Notes in Statistics Series , #113
Edition description: Softcover reprint of the original 1st ed. 1996
Pages: 124
Product dimensions: 9.21(w) x 6.14(h) x 0.29(d)

Table of Contents

I 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.

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