JSM 2004 - Toronto

Abstract #300249

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Activity Number: 67
Type: Invited
Date/Time: Monday, August 9, 2004 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #300249
Title: Milton Sobel's Contributions to Selection and Ranking
Author(s): Thomas J. Santner*+
Companies: Ohio State University
Address: 1042 Putney Dr., Columbus, OH, 43085,
Keywords: selection ; screening ; ranking
Abstract:

This talk will present an overview of Milton Sobel's research contributions to selection and ranking methodology. Selection methods are concerned with designing an experiment to choose the "best" of t treatments. Ranking methods, sometimes called screening methods, determine a subset of the t treatments that contains the "best" treatment with a given confidence level. Milton had a keen interest in selection and ranking methods throughout his career. In part, this curiosity was fueled by his associations with Bob Bechhofer, a fellow graduate student at Columbia, and with Shanti Gupta, a coworker at Bell Laboratories. Bob and Shanti were in the beginning stages of formulating selection and ranking methods, respectively. Milton contributed to both theories and proposed several schemes for unifying the two approaches. Along with Bob and Shanti, Milton became one of the three major influences in the development of these topics. Among the themes that pervade Milton's work, we will discuss the use of curtailment, inverse sampling, and sequential methods as techniques to best use scarce experimental resources.

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Revised March 2004