Optimum Design 2000
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
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N onconvex Optimization and Its Applications Volume 51 Managing Editor: Panos Pardalos University of Florida, U.S.A.
Advisory Board: 1.R. Birge Northwestern University, U.S.A. Ding-Zhu Du University of Minnesota, U.S.A. C. A. Floudas Princeton University, U.S.A. 1. Mockus Lithuanian Academy of Sciences, Lithuania H. D. Sherali Virginia Polytechnic Institute and State University, U.S.A. G. Stavroulakis Technical University Braunschweig, Germany
The titles published in this series are listed at the end of this volume.
Optimum Design 2000 Edited by
Anthony Atkinson London School of Economics
Barbara Bogacka Queen Mary & Westfield College and
Anatoly Zhigljavsky Cardiff University
Springer-Science+Business Media, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-1-4419-4846-5 ISBN 978-1-4757-3419-5 (eBook) DOl 10.1007/978-1-4757-3419-5
Printed on acid-free paper
All Rights Reserved © 2001 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2001. Softcover reprint of the hardcover 1st edition 2001 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
The volume is dedicated to Valeri Fedorov on the occasion of his 60th birthday
Contents
Preface
ix
Part I. Theory Some History Leading to Design Criteria for Bayesian Prediction A.C.Atkinson, v.v. Fedorov
3
Optimal Designs for the Evaluation of an Extremum Point R.C.H. Cheng, v.B. Melas and A.N. Pepelyshev
15
On Regression Experiment Design in the Presence of Systematic Error S.M. Ermakov
25
Grabner Basis Methods in Mixture Experiments and Generalisations B. Giglio, E. Riccomagno and H.P. WYnn
33
Efficient Designs for Paired Comparisons with a Polynomial Factor H. Groflmann, H. Holling, U. Graflhoffand R. Schwabe
45
On Generating and Classifying All qn-m Regular Designs for Square-Free q P.l. Laycock and P.]. Rowley
57
Second-Order Optimal Sequential Tests M.B. Malyutov and l.l. Tsitovich
67
Variational Calculus in the Space of Measures and Optimal Design I. Molchanov and S. Zuyev
79
On the Efficiency of Generally Balanced Designs Analysed by Restricted Maximum Likelihood H. Monod
91
Concentration Sets, Elfving Sets and Norms in Optimum Design A. Ptizman
101
Sequential Construction of an Experimental Design from an Ll.D. Sequence of Experiments without Replacement L Pronzato
113
Optimal Characteristic Designs for Polynomial Models ].M. Rodrfguez-Diaz and ]. LOpez-Fidalgo
123
A Note on Optimal· Bounded Designs M. Sahm and R. Schwabe
131
Construction of Constrained Optimal Designs B. Torsney and S. MandaI
141
viii
Ra:nt II. Applications Plmrmaceutical Applications of a Multi-Stage Group Testing Method B. Bond,
v.v. Fedorov, M.C Jones and A. Zhigljavsky
Block Designs for Comparison of Two Test Treatments with a
