Optimum Design 2000

1. Front Matter

   Pages i-x

   PDF

2. Theory

   1. Front Matter

      Pages 1-1

      PDF

   2. Some History Leading to Design Criteria for Bayesian Prediction

      • Anthony C. Atkinson, V. V. Fedorov

      Pages 3-14

   3. Optimal Designs for the Evaluation of an Extremum Point

      • R. C. H. Cheng, V. B. Melas, A. N. Pepelyshev

      Pages 15-24

   4. On Regression Experiment Design in the Presence of Systematic Error

      • S. M. Ermakov

      Pages 25-32

   5. Gröbner Basis Methods in Mixture Experiments and Generalisations

      • Beatrice Giglio, Henry P. Wynn, Eva Riccomagno

      Pages 33-44

   6. Efficient Designs for Paired Comparisons with a Polynomial Factor

      • H. Großmann, H. Holling, U. Graßhoff, R. Schwabe

      Pages 45-56

   7. On Generating and Classifying All Q ^N-M Regular Designs for Square-Free Q

      • Patrick J. Laycock, Peter J. Rowley

      Pages 57-66

   8. Second-Order Optimal Sequential Tests

      • M. B. Malyutov, I. I. Tsitovich

      Pages 67-78

   9. Variational Calculus in the Space of Measures and Optimal Design

      • Ilya Molchanov, Sergei Zuyev

      Pages 79-90

   10. On the Efficiency of Generally Balanced Designs Analysed by Restricted Maximum Likelihood

       • H. Monod

       Pages 91-99

   11. Concentration Sets, Elfving Sets and Norms in Optimum Design

       • Andrej Pázman

       Pages 101-112

   12. Sequential Construction of an Experimental Design from an I.I.D. Sequence of Experiments without Replacement

       • Luc Pronzato

       Pages 113-122

   13. Optimal Characteristic Designs for Polynomial Models

       • J. M. Rodríguez-Díaz, J. López-Fidalgo

       Pages 123-130

   14. A Note on Optimal Bounded Designs

       • Michael Sahm, Rainer Schwabe

       Pages 131-140

   15. Construction of Constrained Optimal Designs

       • Ben Torsney, Saumendranath Mandal

       Pages 141-152

3. Applications

   1. Front Matter

      Pages 153-153

      PDF

   2. Pharmaceutical Applications of a Multi-Stage Group Testing Method

      • Brian Bond, Valeri Fedorov, Matthew Jones, Anatoly Zhigljavsky

      Pages 155-166

   3. Block Designs for Comparison of Two Test Treatments with a Control

      • Steven M. Bortnick, Angela M. Dean, Jason C. Hsu

      Pages 167-180

   4. Optimal Sampling Design with Random Size Clusters for a Mixed Model with Measurement Errors

      • A. Giovagnoli, L. Martino

      Pages 181-194

This volume contains many of the papers presented at the conference "Optimum Design 2000: Prospects for the New Millennium" held in Cardiff, UK on April 12th - 14th, 2000. The majority of the papers consider aspects of optimum experimental design from the theoretical to applications. Many of the optimisation problems arising in the optimum design theory in general and the articles in this volume in particular, fall into the category of nonconvex, including global, optimization. The papers are organised in two sections. Since we are at the beginning of a new millennium the first paper starts by looking back at the beginnings of optimum exper­ imental design in 1917 and sketches the development up to Kiefer's paper read to the Royal Statistical Society in 1959. This is the first in a group of papers which we have labelled "Theory", which cover the more general aspects, such as the properties and methods of construction of designs. In the "Applications" section there are papers on sequential design problems arising in the pharmaceutical industry and on the designs with discrete factors which occur in agriculture. There are also papers on training neural networks, on the efficient design of sampling methods, on design problems in mixtures, arising from a study of glass manufacturing, and on the resistance of Brazilian weeds to herbicides. The number attending the meeting was deliberately limited to 50 in order to encour­ age a workshop atmosphere and the exchange of ideas.

• Likelihood
• design
• model
• neural networks
• optimization
• regression
• statistics

• London School of Economics, UK

  Anthony Atkinson

• Queen Mary & Westfield College, UK

  Barbara Bogacka

• Cardiff University, UK

  Anatoly Zhigljavsky

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