JSM 2005 - Toronto

Abstract #304433

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 270
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #304433
Title: A Self-building System for Ranked Set Sampling
Author(s): Tao Yu*+ and Ran He and Marepalli Rao
Companies: University of Cincinnati and University of Cincinnati and University of Cincinnati
Address: Department of Environmental Health, Cincinnati, OH, 45267-0056, United States
Keywords: order statistics ; ranked set sampling ; nonparametric ; stratification ; variance reduction ; sample size
Abstract:

Ranked Set Sampling (RSS) has been proved an economical estimation under certain conditions. Various procedures based on RSS have been developed since the 80s to improve its precision. However, problems still exist. Little improvement has been made for nonparametric estimation. Decisions of sample sizes and necessary optimal designs of RSS in practice could be complicated, time-consuming, and unsuccessful after all. Imperfect ranking with potential subjective misjudgment or ranking with more than two characteristics also may hurt the efficiencies over other sampling methods. In this paper, we introduce an objective, self-building system or procedure for RSS to better solve the above problems. This system has been showed much better than other RSS-related procedures under most conditions for both nonparametric and parametric cases. In some situations, it is even closed to the precision of measuring all the hundreds of samples with only several actual measurements necessary.


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Revised March 2005