Ebook: Optimum Designs for Multi-Factor Models

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.

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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 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.

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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 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.
Content:
Front Matter....Pages i-vii
Front Matter....Pages 1-1
Foundations....Pages 2-7
A Review on Optimum Design Theory....Pages 8-14
Reduction Principles....Pages 15-33
Front Matter....Pages 35-37
Complete Product-type Interactions....Pages 38-48
No Interactions....Pages 49-75
Partial Interactions....Pages 76-106
Some Additional Results....Pages 107-111
Back Matter....Pages 112-126

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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 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.
Content:
Front Matter....Pages i-vii
Front Matter....Pages 1-1
Foundations....Pages 2-7
A Review on Optimum Design Theory....Pages 8-14
Reduction Principles....Pages 15-33
Front Matter....Pages 35-37
Complete Product-type Interactions....Pages 38-48
No Interactions....Pages 49-75
Partial Interactions....Pages 76-106
Some Additional Results....Pages 107-111
Back Matter....Pages 112-126
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