- Volume 29 Issue 4
Kruskal and Wallis (1952) proposed a nonparametric method to test the differences between more than three independent treatments. This procedure uses rank in mixed sample combined with more than three unlike populations. This paper proposes a the new procedure based on joint placements for a one-way layout as extension of the joint placements described in Chung and Kim (2007). A Monte Carlo simulation study is adapted to compare the power of the proposed method with previous methods.
one-way layout;joint placements;nonparametric
- Chung, T. and Kim, D. (2007). Nonparametric method using placement in one-way layout, The Korean Communications in Statistics, 14, 551-560.
- Hong, I. and Lee, S. (2014). Kruskal-Wallis one-way analysis of variance based on linear placements, Korean Mathematical Society, 51, 701-716. https://doi.org/10.4134/BKMS.2014.51.3.701
- Kim, D. (1999). A class of distribution-free treatments versus control tests based on placements, Far East Journal of Theoretical Statistics, 3, 19-33.
- 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. https://doi.org/10.1080/01621459.1952.10483441
- Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placements, Journals of the American Statistical Association, 77, 666-671. https://doi.org/10.1080/01621459.1982.10477870