Browse > Article
http://dx.doi.org/10.5351/KJAS.2017.30.2.291

Nonparametric procedures using aligned method and joint placement in randomized block design with replications  

Lee, Eunjee (Department of Biomedicine.Health Science, The Catholic University of Korea)
Kim, Dongjae (Department of Biomedicine.Health Science, The Catholic University of Korea)
Publication Information
The Korean Journal of Applied Statistics / v.30, no.2, 2017 , pp. 291-299 More about this Journal
Abstract
Mack and Skillings (1980) proposed nonparametric procedures in a randomized block design with replications as general alternatives. This method is used to find the difference in the treatment effect; however, it can cause a loss of inter block information using the ranking in each block. In this paper, we proposed new nonparametric procedures in a randomized block design with replications using an aligned method proposed by Hodges and Lehmann (1962) that used information of blocks and based on the joint placement suggest by Chung and Kim (2008). We also compared the power of the test of the proposed procedures and established a method through Monte Carlo simulation.
Keywords
nonparametric; randomized block design; aligned method; joint placement;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Cho, S. and Kim, D. (2013). Nonparametric procedures using aligned method and joint placement in randomized block design, Journal of the Korean Data and Information Science Society, 24, 95-103.   DOI
2 Chung, T. and Kim, D. (2007). Nonparametric method using placement in one-way layout, The Korean Communications in Statistics, 14, 551-560.
3 Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance, Journals of the American Statistical Association, 32, 675-701.   DOI
4 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
5 Kruskal, W. H. and Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis, Journals of the American Statistical Association, 47, 583-621.   DOI
6 Lee, M. and Kim, D. (2012). Nonparametric method using an alignment method in a randomized block design with replications, The Korean Journal of Applied Statistics, 19, 77-84.
7 Mack, G. A. (1981). A quick and easy distribution-free test for main effects in a two-factor ANOVA, Communications in Statistics - Simulation and Computation, 10, 571-591.   DOI
8 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
9 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.   DOI
10 Song, H. and Lee, H. (1995). Design of Clinical Experiments Using SAS, Free Academy, Seoul.