Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.spl.2004.11.014
Title: Optimal sign tests for data from ranked set samples
Authors: Wang, Y.-G. 
Zhu, M.
Keywords: Nonparametric
Pitman efficiency
Ranked set sampling
Sign tests
Issue Date: 1-Apr-2005
Citation: Wang, Y.-G., Zhu, M. (2005-04-01). Optimal sign tests for data from ranked set samples. Statistics and Probability Letters 72 (1) : 13-22. ScholarBank@NUS Repository. https://doi.org/10.1016/j.spl.2004.11.014
Abstract: This paper considers the one-sample sign test for data obtained from general ranked set sampling when the number of observations for each rank are not necessarily the same, and proposes a weighted sign test because observations with different ranks are not identically distributed. The optimal weight for each observation is distribution free and only depends on its associated rank. It is shown analytically that (1) the weighted version always improves the Pitman efficiency for all distributions; and (2) the optimal design is to select the median from each ranked set. © 2005 Elsevier B.V. All rights reserved.
Source Title: Statistics and Probability Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/105285
ISSN: 01677152
DOI: 10.1016/j.spl.2004.11.014
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