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Optimum Design 2000 : Nonconvex Optimization and Its Applications - Anthony Atkinson

Optimum Design 2000

Nonconvex Optimization and Its Applications

By: Anthony Atkinson (Editor), Barbara Bogacka (Editor), Anatoly A. Zhigljavsky (Editor)

Hardcover Published: 31st March 2001
ISBN: 9780792367987
Number Of Pages: 310

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The chapters in this volume present the state of optimum experimental design at the beginning of the new millennium, with an emphasis on developing areas. The contributions range from theory to applications, starting with a glimpse back to the beginnings of optimum experimental design. Theoretical chapters cover the properties and methods of construction of designs. Applications include chapters on sequential design problems in the pharmaceutical industry and on the designs with discrete factors in agriculture. There are chapters on training neural networks, on the efficient selection of sampling methods, and on problems arising in glass making and in herbicide resistance of Brazilian weeds. The contributors, from a variety of countries, include many acknowledged experts whose work reflects the international spread of activity in the subject. Audience: Experimentalists as well as research workers and students in statistics will find much to interest them in these papers.

Preface
Some History Leading to Design Criteria for Bayesian Predictionp. 3
Optimal Designs for the Evaluation of an Extremum Pointp. 15
On Regression Experiment Design in the Presence of Systematic Errorp. 25
Grobner Basis Methods in Mixture Experiments and Generalisationsp. 33
Efficient Designs for Paired Comparisons with a Polynomial Factorp. 45
On Generating and Classifying All q[superscript n-m] Regular Designs for Square-Free qp. 57
Second-Order Optimal Sequential Testsp. 67
Variational Calculus in the Space of Measures and Optimal Designp. 79
On the Efficiency of Generally Balanced Designs Analysed by Restricted Maximum Likelihoodp. 91
Concentration Sets, Elfving Sets and Norms in Optimum Designp. 101
Sequential Construction of an Experimental Design from an I.I.D. Sequence of Experiments without Replacementp. 113
Optimal Characteristic Designs for Polynomial Modelsp. 123
A Note on Optimal Bounded Designsp. 131
Construction of Constrained Optimal Designsp. 141
Pharmaceutical Applications of a Multi-Stage Group Testing Methodp. 155
Block Designs for Comparison of Two Test Treatments with a Controlp. 167
Optimal Sampling Design with Random Size Clusters for a Mixed Model with Measurement Errorsp. 181
Optimizing a Unimodal Response Function for Binary Variablesp. 195
An Optimizing Up-And-Down Designp. 211
Further Results on Optimal and Efficient Designs for Constrained Mixture Experimentsp. 225
Coffee-House Designsp. 241
(D[subscript t],C)-Optimal Run Ordersp. 249
Optimal Design in Flexible Models, including Feed-Forward Networks and Nonparametric Regressionp. 261
On Optimal Designs for High Dimensional Binary Regression Modelsp. 275
Planning Herbicide Dose-Response Bioassays Using the Bootstrapp. 287
Photo Galleryp. 295
Optimum Design 2000: List of Participantsp. 303
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792367987
ISBN-10: 0792367987
Series: Nonconvex Optimization and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 310
Published: 31st March 2001
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.63