Variance estimation using judgment post-stratification

Article

Abstract

We consider the problem of estimating the variance of a population using judgment post-stratification. By conditioning on the observed vector of ordered in-stratum sample sizes, we develop a conditionally unbiased nonparametric estimator that outperforms the sample variance except when the rankings are very poor. This estimator also outperforms the standard unbiased nonparametric variance estimator from unbalanced ranked-set sampling.

Keywords

Conditioning Imperfect rankings Judgment ranking Ranked-set sampling 

Notes

Acknowledgments

The authors thank the referees for helpful suggestions that have improved the paper.

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Copyright information

© The Institute of Statistical Mathematics, Tokyo 2012

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsVillanova UniversityVillanovaUSA

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