A review of nonparametric ranked-set sampling methodology
- 1 January 1996
- journal article
- review article
- Published by Informa UK Limited in Communications in Statistics - Theory and Methods
- Vol. 25 (11), 2675-2685
- https://doi.org/10.1080/03610929608831863
Abstract
Ranked-set sampling is an alternative to random sampling for settings in which measurements are difficult or costly. Ranked-set sampling utilizes information gained without measurement to structure the eventual measured sample. This additional information yields improved properties for ranked-set sample procedures relative to their simple random sample counterparts. We review the available nonparametric procedures for data from ranked-set samples. Estimation of the distribution function was the first nonparametric setting to which ranked-set sampling methodology was applied. Since the first paper on the ranked-set sample empirical distribution function, the two-sample location setting, the sign test, and the signed-rank test have all been examined for ranked-set samples. In addition, estimation of the distribution function has been considered in a more general setting. We discuss the similarities and differences in the properties of the ranked-set sample procedures for the various settingsKeywords
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