Statistical Science

Ranked Set Sampling: An Approach to More Efficient Data Collection

Douglas A. Wolfe

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Abstract

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.

Article information

Source
Statist. Sci. Volume 19, Number 4 (2004), 636-643.

Dates
First available in Project Euclid: 18 April 2005

Permanent link to this document
http://projecteuclid.org/euclid.ss/1113832728

Digital Object Identifier
doi:10.1214/088342304000000369

Mathematical Reviews number (MathSciNet)
MR2185585

Zentralblatt MATH identifier
1100.62555

Keywords
Distribution function estimation improved precision Mann–Whitney–Wilcoxon statistic mean estimation nonparametric procedures sampling techniques structured samples

Citation

Wolfe, Douglas A. Ranked Set Sampling: An Approach to More Efficient Data Collection. Statist. Sci. 19 (2004), no. 4, 636--643. doi:10.1214/088342304000000369. http://projecteuclid.org/euclid.ss/1113832728.


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