Optimal sign tests for data from ranked set samples

Wang, You-Gan & Zhu, Min (2005) Optimal sign tests for data from ranked set samples. Statistics and Probability Letters, 72(1), pp. 13-22.

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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.

Impact and interest:

4 citations in Scopus
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4 citations in Web of Science®

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ID Code: 90485
Item Type: Journal Article
Refereed: Yes
Keywords: nonparametric, pitman efficiency, ranked set sampling, sign tests, regression-estimators, statistics, cost
DOI: 10.1016/j.spl.2004.11.014
ISSN: 0167-7152
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 18 Nov 2015 01:26
Last Modified: 18 Nov 2015 01:26

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