JSM 2005 - Toronto

Abstract #304547

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 450
Type: Contributed
Date/Time: Wednesday, August 10, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #304547
Title: Not Worth the Effort: Balanced Ranked Set Sampling and Random Predictor OLS Regression
Author(s): Elizabeth J. Murff*+ and Thomas W. Sager
Companies: Eastern Washington University and The University of Texas at Austin
Address: College of Business and Public Administration, Spokane, WA, 99202, United States
Keywords: ranked set sampling ; balanced allocation ; judgement ranking ; random predictor ; regression ; equivalent sample size
Abstract:

Contrary to the published results on fixed predictors, OLS regression---balanced ranked set sampling---offers at most only small improvement in the relative efficiency of the slope estimator in a random predictors OLS regression. The maximum improvement offered by balanced ranked set sampling at any sample size is equivalent to having at most three additional sampling units in a simple random sample. Statistical theory and simulation confirm these limitations. An anticipated application of balanced ranked set sampling to the problem of estimating mercury contamination from fish length was canceled in light of these results, as the extra sampling cost was judged not worth the slight gain.


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