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Nonparametric procedures based on aligned method and placement for ordered alternatives in randomized block design
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 Title & Authors
Nonparametric procedures based on aligned method and placement for ordered alternatives in randomized block design
Kim, Hyosook; Kim, Dongjae;
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 Abstract
Nonparametric procedures in a randomized block design was proposed by Friedman (1937) as a general alternative as well as suggested as a test for ordered alternatives by Page (1963). These methods are used for the rank of treatments in each block. In this paper, we proposed nonparametric procedures using aligned method proposed by Hodges and Lehmann (1962) to reduce among block information and based on placement suggested by Kim (1999) in a randomized block design. We also perform a Monte Carlo study to compare the empirical powers of the proposed procedures and established method.
 Keywords
aligned method;nonparametric procedures;ordered alternatives;placement;randomized block design;
 Language
Korean
 Cited by
 References
1.
Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance, Journal of the American Statistical Association, 32, 675-701. crossref(new window)

2.
Hodges, J. L. and Lehmann, E. L. (1962). Rank methods for combination of independent experiments in analysis of variance, The Annals of Mathematical Statistics, 33, 482-497. crossref(new window)

3.
Kim, D. (1999). A class of distribution-free treatments versus control tests based on placements, Far East Journal of Theoretical Statistics, 3, 19-33.

4.
Kim, D., Lee, S., and Wang, W. (2011). The asymptotic behavior of linear placement statistics, Statistics and Probability Letters, 81, 326-336. crossref(new window)

5.
Lee, S. and Kim, D. (2011). Nonparametric procedures using placement in randomized block design with replications, Journal of the Korean Data and Information Science Society, 22, 1105-1112.

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Orban, J. and Wolfe, D. A. (1982). A class of distribution-free-two-sample tests based on placement, Journal of the American Statistical Association, 77, 666-671. crossref(new window)

7.
Page, E. B. (1963). Ordered hypotheses for multiple treatments: a significance test for linear ranks, Journals of the American Statistical Association, 58, 216-230. crossref(new window)