JSM 2004 - Toronto

Abstract #301975

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Activity Number: 180
Type: Topic Contributed
Date/Time: Tuesday, August 10, 2004 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #301975
Title: Judgment Stratification with Imprecise Rankings
Author(s): Elizabeth A. Stasny*+ and Steven MacEachern and Douglas Wolfe
Companies: Ohio State University and Ohio State University and Ohio State University
Address: Dept. of Statistics, Columbus, OH, 43210,
Keywords: random allocation ; ranked set sampling ; stratification ; variance reduction
Abstract:

Judgement post-stratification, which is based on ideas similar to those in ranked set sampling, relies on the ability of a ranker to forecast the ranks of potential observations on a set of units. In practice, the authors sometimes find it difficult to assign these ranks. This note shows how one can borrow techniques from the literature on finite population sampling to allow a probabilistic ranking of the units in a set, thus facilitating use of these sampling plans and improving estimation. The same techniques provide one approach to estimation with a judgement post-stratified sample with multiple rankers. The technique is illustrated on allometric data relating brain weight to body weight in different species of mammals, and on a study of student performance in graduate school.

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