Journal of the Korean Statistical Society
- 제15권1호
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- Pages.9-25
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- 1986
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- 1226-3192(pISSN)
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- 2005-2863(eISSN)
A Distribution-Free Rank Test for Ordered Alternatives in a Randomized Block Design
- Kim, Dong-Hee (Department of Computer Science and Statistics, Pusan National University, Pusan 607) ;
- Song, Moon-Sup (Department of Computer Science and Statistics, Seoul National University, Seoul 151) ;
- Kim, Woo-Chul (Department of Computer Science and Statistics, Seoul National University, Seoul 151)
- 발행 : 1986.06.01
초록
In this paper we propose a distribution-free rank test for ordered alternatives in a randomized block design and investigate the properties of the proposed test. The proposed test is an extension of the Page test to allow replications in each cell. Some asymptotic properties including ARE's are investigated. A small sample Monte Carlo study was performed to compare the powers of the test considered in this paper for small samples. The results show that our proposed test is robust and efficient in the case of equally-spaced treatment effects.
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