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A new ranked set sample estimator of variance

Authors

  • Steven N. MacEachern,

  • Ömer Öztürk,

  • Douglas A. Wolfe,

  • Gregory V. Stark


Address for correspondence : Douglas A. Wolfe, Department of Statistics, Cockins Hall, Ohio State University, 1958 Neil Avenue, Columbus, OH 43210-1247, USA. E-mail: daw@stat.ohio-state.edu

Abstract

Summary. We develop an unbiased estimator of the variance of a population based on a ranked set sample. We show that this new estimator is better than estimating the variance based on a simple random sample and more efficient than the estimator based on a ranked set sample proposed by Stokes. Also, a test to determine the effectiveness of the judgment ordering process is proposed.

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