A performance indicator for ranked set sampling using ranking error probability matrix |
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| Authors: | MED Aragon G Patil C Taillie |
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| Institution: | (1) Center for Statistical Ecology and Environmental Statistics, Department of Statistics, The Pennsylvania State University, University Park, PA USA, 16802 |
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| Abstract: | Ranked set sampling (RSS) is a sampling procedure that has been shown to provide more efficient procedures than simple random sampling, in particular the Mann-Whitney-Wilcoxon (MWW) statistic and the empirical distribution function (EDF). We briefly review the work of Bohn (1992) and Stokes and Sager (1988) on the effect of imperfect ranking on the RSS-based MWW test and on the RSS-based EDF, respectively. We propose a model for a ranking error probability matrix which we hope will become a useful tool for evaluating RSS-based statistical procedures |
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| Keywords: | Ranked set sampling Ranking error Doubly stochastic matrix Expected spacings Mann-Whitney-Wilcoxon test Empirical distribution function |
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