Browse > Article
http://dx.doi.org/10.5351/KJAS.2017.30.6.1027

Nonparametric multiple comparison method in one-way layout based on joint placement  

Seok, Dahee (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.6, 2017 , pp. 1027-1036 More about this Journal
Abstract
Multiple comparisons are required to confirm whether or not something is significant if the null hypothesis to test whether the difference between more than three treatments is rejected in a one-way layout. There are both parametric multiple comparison method Tukey (1953) and Nonparametric multiple comparison method based on Kruskal-Wallis (1952).This procedure is applied to a mixed sample of all data and then an average ranking is used for each of three or more treatments. In this paper, a new nonparametric multiple comparison procedure based on joint placements for a one-way layout as extension of the joint placements described in Chung and Kim (2007) was proposed. Monte Carlo simulation is also adapted to compare the family wise error rate (FWE) and the power of the proposed method with previous methods.
Keywords
multiple comparison; joint placement; one-way layout;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Chung, T. and Kim, D. (2007). Nonparametric method using placement in one-way layout, The Korean Communications in Statistics, 14, 551-560.
2 Duncan, D. B. (1955). Multiple range and multiple F tests, Biometrics, 11, 1-42.   DOI
3 Dunn, O. J. (1964). Multiple comparisons using rank sums, Technometrics, 6, 241-252.   DOI
4 Kramer, C. Y. (1956). Extension of multiple range tests to group means with unequal numbers of replications, Biometrics, 12, 309-310.
5 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
6 Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placement, Journals of the American Statistical Association, 77, 666-671.   DOI
7 Scheffe, H. (1953). A method for judging all contrasts in the analysis of variance, Biometrika, 40, 87-104.
8 Seong, N. (2001). Experimental Design and Analysis, Free Academy, Seoul.
9 Tukey, J. W. (1953). The Problem of Multiple Comparisons, Unpublished dotted notes, Princeton University, Princeton, New Jersey.