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Activity Number: 52
Type: Topic Contributed
Date/Time: Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #309297
Title: Optimal Allocation for Unbalanced Stratified Ranked Set Sample
Author(s): Chris Sroka*+ and Elizabeth A. Stasny and Douglas Wolfe
Companies: The Ohio State University and The Ohio State University and The Ohio State University
Address: 1958 Neil Avenue, Columbus, OH, 43210-1247,
Keywords: Neyman allocation ; stratification ; judgment order statistic ; variance estimation
Abstract:

Stratified ranked set sampling is a data collection method that stratifies the population before conducting ranked set sampling (RSS). It is similar to traditional stratified sampling, except that RSS is used in place of simple random sampling. This method of sampling results in more precise estimators of the mean than traditional stratified sampling or RSS alone. This sampling method raises an interesting question about how to allocate a fixed sample size to both the strata and the ranks within each stratum. We examine possible allocation schemes to find the method that produces the lowest variance of the mean estimator.


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Revised September, 2007