Semi-aligned rank tests |
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Authors: | Taka-Aki Shiraishi |
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Institution: | (1) University of Tsukuba, Tsukuba, USA |
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Abstract: | Summary The distribution-free test based on semi-aligned rankings for no treatment effects in a two-way layout, with unequal number
of replications in each cell is considered. The asymptotic χ-square distribution of the test statistic under the null hypothesis
is derived. The Pitman asymptotic relative efficiency of the test (i) based on semi-aligned rankings with respect to the test
(ii) based on within-block rankings, is shown to be larger than one as the number of blocks tends to infinity. Also the asymptotic
properties of linear rank statistics (i) and (ii) are investigated and the asymptotic relative efficiency of the test (i)
with respect to the test (ii) is again shown to be larger than one. |
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Keywords: | Primary 62G10 secondary 62E20 |
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