Browse > Article
http://dx.doi.org/10.5351/CKSS.2012.19.1.077

Nonparametric Method Using an Alignment Method in a Randomized Block Design with Replications  

Lee, Min-Hee (Department of Biostatistics, Catholic University)
Kim, Dong-Jae (Department of Biostatistics, Catholic University)
Publication Information
Communications for Statistical Applications and Methods / v.19, no.1, 2012 , pp. 77-84 More about this Journal
Abstract
Mack and Skillings (1980) proposed a typical nonparametric method in a randomized block design with replications. However, this method may lose information because of the use of average observations instead of individual observations. In this paper, we proposed a nonparametric method that employed an aligned method suggested by Hodges and Lehmann (1962) under a randomized block design with replications. In addition, the comparative results of a Monte Carlo power study are presented.
Keywords
Alignment method; nonparametric; randomized block design;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Skillings, J. H. and Wolfe, D. A. (1978). Distribution-free tests for ordered alternatives in a randomized block design, Journal of the American Statistical Association, 73, 427-431.   DOI   ScienceOn
2 Terpstra, T. J. (1952). The asymptotic normality and consistency of kendall's test against trend, when ties are present in one ranking, Indagationes Mathematicae, 14, 327-333.
3 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.   DOI   ScienceOn
4 Hettmansperger, T. P. (1975). Non-parametric inference for ordered alternatives in a randomized block design, Psychometrika, 40, 53-62.   DOI   ScienceOn
5 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.   DOI   ScienceOn
6 Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives, Biometrika, 41, 133-145.   DOI
7 Kruskal, W. H. and Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis, Journal of the American Statistical Association, 47, 583-621.   DOI   ScienceOn
8 Mack, G. A. (1981). A quick and easy distribution-free test for main effxcts in a two-factor ANOVA, Communications in Statistics - Simulation and Computation, 10, 571-591.   DOI   ScienceOn
9 Mack, G. A. and Skillings, J. H. (1980). A Friedman-type rank test for main effects in a two-factor ANOVA, Journal of the American Statistical Association, 75, 947-951.   DOI   ScienceOn
10 Mann, H. B. and Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other, Annals of Mathematical Statistics, 18, 50-60.   DOI   ScienceOn
11 Skillings, J. H. and Wolfe, D. A. (1977). Testing for ordered alternatives by combining independent distribution-free block statistics, Communications in Statistics - Theory and Methods, 6, 1453-1463.   DOI   ScienceOn