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Nonparametric method in one-way layout based on joint placement

일원배치법에서 결합위치를 이용한 비모수 검정법

  • Received : 2016.04.06
  • Accepted : 2016.05.18
  • Published : 2016.06.30

Abstract

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.

Keywords

one-way layout;joint placements;nonparametric

References

  1. Chung, T. and Kim, D. (2007). Nonparametric method using placement in one-way layout, The Korean Communications in Statistics, 14, 551-560.
  2. 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
  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. 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
  5. 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