Annals of the Institute of Statistical Mathematics

, Volume 65, Issue 3, pp 551–569

Variance estimation using judgment post-stratification

Authors

    • Department of Mathematics and StatisticsVillanova University
  • Timothy G. Feeman
    • Department of Mathematics and StatisticsVillanova University
Article

DOI: 10.1007/s10463-012-0386-5

Cite this article as:
Frey, J. & Feeman, T.G. Ann Inst Stat Math (2013) 65: 551. doi:10.1007/s10463-012-0386-5

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

Copyright information

© The Institute of Statistical Mathematics, Tokyo 2012