The commentaries in this volume provide reviews of selected papers from the three-volume Collected Papers of Jack Carl Kiefer. From the Preface of Volume III: "The theory of optimal design of experiments as we know it today is built on a solid foundation developed by Jack Kiefer, who formulated and resolved some of the major problems of data collection via experimentation. A principal ingredient in his formulation was statistical efficiency of a design. Kiefer's theoretical contributions to optimal designs can be broadly classified into several categories: He rigorously defined, developed, and interrelated statistical notions of optimality. He developed powerful tools for verifying and searching for optimal designs; this includes the "averaging technique"... for approximate or exact theory, and "patchwork"... for exact theory... Kiefer and Wolfowitz provided a theorem now known as the Equivalence Theorem. This result has become a classical theorem in the field. One importantfeature of this theorem is that it provides a measure of how far a given design is from the optimal design. He characterized and constructed families of optimal designs. Some of the celebrated ones are balanced block designs, generalized Youden designs, and weighing designs. He also developed combinatorial structures of these designs."
Authors, Editors and Affiliations
Department of Mathematics, University of Pennsylvania, Philadelphia, USA
Lawrence D. Brown
Dept. Statistics, Stanford University Dept. Statistics, STANFORD, USA
Ingram Olkin
Duke University, Durham, New Caledonia
Jerome Sacks
The London School of Economics, London, United Kingdom
Henry P. Wynn
University of California, Berkeley, USA
Jack Carl Kiefer
Bibliographic Information
Book Title: Collected Papers Supplementary Volume
Authors: Jack Carl Kiefer
Editors: Lawrence D. Brown, Ingram Olkin, Jerome Sacks, Henry P. Wynn
