Theory of Optimal Designs

Theory of Optimal Designs
Author: Kirti R. Shah
Publisher: Springer Science & Business Media
Total Pages: 179
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461236622


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There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models arising in the experimental designs and substantial progress has been made towards solving some of these. The subject has now reached a stage of completeness which calls for a self-contained monograph on this topic. The aim of this monograph is to present the state of the art and to focus on more recent advances in this rapidly developing area. We start with a discussion of statistical optimality criteria in Chapter One. Chapters Two and Three deal with optimal block designs. Row-column designs are dealt with in Chapter Four. In Chapter Five we deal with optimal designs with mixed effects models. Repeated measurement designs are considered in Chapter Six. Chapter Seven deals with some special situations and Weighing designs are dis cussed in Chapter Eight. We have endeavoured to include all the major developments that have taken place in the last three decades. The book should be of use to research workers in several areas including combinatorics as well as to the experimenters in diverse fields of applications. Since the details of the construction of the designs are available in excellent books, we have only pointed out the designs which have optimality proper ties. We believe, this will be adequate for the experimenters.


Theory of Optimal Designs
Language: en
Pages: 179
Authors: Kirti R. Shah
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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There has been an enormous growth in recent years in the literature on discrete optimal designs. The optimality problems have been formulated in various models
Optimal Design
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Authors: S. Silvey
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Prior to the 1970's a substantial literature had accumulated on the theory of optimal design, particularly of optimal linear regression design. To a certain ext
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Language: en
Pages: 249
Authors: Peter Goos
Categories: Science
Type: BOOK - Published: 2011-06-28 - Publisher: John Wiley & Sons

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"This is an engaging and informative book on the modern practice of experimental design. The authors' writing style is entertaining, the consulting dialogs are
Theory Of Optimal Experiments
Language: en
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Authors: V.V. Fedorov
Categories: Technology & Engineering
Type: BOOK - Published: 2013-04-20 - Publisher: Elsevier

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Theory Of Optimal Experiments
Optimum Designs for Multi-Factor Models
Language: en
Pages: 132
Authors: Rainer Schwabe
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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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