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November 2004 Ranked Set Sampling: An Approach to More Efficient Data Collection
Douglas A. Wolfe
Statist. Sci. 19(4): 636-643 (November 2004). DOI: 10.1214/088342304000000369


This paper is intended to provide the reader with an introduction to ranked set sampling, a statistical technique for data collection that generally leads to more efficient estimators than competitors based on simple random samples. Methods for obtaining ranked set samples are described, and the structural differences between ranked set samples and simple random samples are discussed. Properties of the sample mean associated with a balanced ranked set sample are developed. A nonparametric ranked set sample estimator of the distribution function is discussed and properties of a ranked set sample analog of the Mann–Whitney–Wilcoxon statistic are presented.


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Douglas A. Wolfe. "Ranked Set Sampling: An Approach to More Efficient Data Collection." Statist. Sci. 19 (4) 636 - 643, November 2004.


Published: November 2004
First available in Project Euclid: 18 April 2005

zbMATH: 1100.62555
MathSciNet: MR2185585
Digital Object Identifier: 10.1214/088342304000000369

Keywords: Distribution function estimation , improved precision , Mann–Whitney–Wilcoxon statistic , Mean estimation , nonparametric procedures , Sampling techniques , structured samples

Rights: Copyright © 2004 Institute of Mathematical Statistics


Vol.19 • No. 4 • November 2004
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