A Jonckheere-Terpstra-type test for perfect ranking in balanced ranked set sampling |
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| Authors: | Michael Vock N. Balakrishnan |
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| Affiliation: | a Institute of Mathematical Statistics and Actuarial Science, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
b Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 |
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| Abstract: | Many methods based on ranked set sampling (RSS) assume perfect ranking of the samples. Here, by using the data measured by a balanced RSS scheme, we propose a nonparametric test for the assumption of perfect ranking. The test statistic that we use formally corresponds to the Jonckheere-Terpstra-type test statistic. We show formal relations of the proposed test for perfect ranking to other methods proposed recently in the literature. Through an empirical power study, we demonstrate that the proposed method performs favorably compared to many of its competitors. |
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| Keywords: | Ranked set sampling Judgement ordering Perfect ranking Nonparametric test Jonckheere-Terpstra test |
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