Annals of the Institute of Statistical Mathematics

, Volume 65, Issue 3, pp 551-569

First online:

Variance estimation using judgment post-stratification

  • Jesse FreyAffiliated withDepartment of Mathematics and Statistics, Villanova University Email author 
  • , Timothy G. FeemanAffiliated withDepartment of Mathematics and Statistics, Villanova University

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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.


Conditioning Imperfect rankings Judgment ranking Ranked-set sampling