Optimum Design 2000: (51 Nonconvex Optimization and Its Applications)

This volume presents 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. Experimentalists as well as research workers and students in statistics should find much to interest them in these papers.

Table of Contents:
Some History Leading to Design Criteria for Bayesian Prediction.- Optimal Designs for the Evaluation of an Extremum Point.- On Regression Experiment Design in the Presence of Systematic Error.- Gröbner Basis Methods in Mixture Experiments and Generalisations.- Efficient Designs for Paired Comparisons with a Polynomial Factor.- On Generating and Classifying All qn-m Regular Designs for Square-Free q.- Second-Order Optimal Sequential Tests.- Variational Calculus in the Space of Measures and Optimal Design.- On the Efficiency of Generally Balanced Designs Analysed by Restricted Maximum Likelihood.- Concentration Sets, Elfving Sets and Norms in Optimum Design.- Sequential Construction of an Experimental Design from an I.I.D. Sequence of Experiments without Replacement.- Optimal Characteristic Designs for Polynomial Models.- A Note on Optimal Bounded Designs.- Construction of Constrained Optimal Designs.- Pharmaceutical Applications of a Multi-Stage Group Testing Method.- Block Designs for Comparison of Two Test Treatments with a Control.- Optimal Sampling Design with Random Size Clusters for a Mixed Model with Measurement Errors.- Optimizing a Unimodal Response Function for Binary Variables.- An Optimizing Up-And-Down Design.- Further Results on Optimal and Efficient Designs for Constrained Mixture Experiments.- Coffee-House Designs.- (DtC)-Optimal Run Orders.- Optimal Design in Flexible Models, including Feed-Forward Networks and Nonparametric Regression.- On Optimal Designs for High Dimensional Binary Regression Models.- Planning Herbicide Dose-Response Bioassays Using the Bootstrap.- Photo Gallery.- Optimum Design 2000: List of Participants.