Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Nonparametric method using placement in a randomized complete block design

랜덤화 블록 계획법에서 위치를 이용한 비모수 검정법

  • Sim, Sujin (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biostatistics, The Catholic University of Korea)
  • 심수진 (가톨릭대학교 의학통계학과) ;
  • 김동재 (가톨릭대학교 의학통계학과)
  • Received : 2013.09.25
  • Accepted : 2013.11.11
  • Published : 2013.11.30
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Abstract

Kim and Kim (1992) proposed typical nonparametric method for umbrella alternative in randomized block design with replications. In this paper, We consider a test procedure for umbrella alternatives in a randomized block design using extension of the two sample placement tests described in Orban and Wolfe (1982) and treatment tests described in Kim (1999). We perform a Monte Carlo study to compare the empirical powers of the test statistics for underlying distributions.

반복이 있는 랜덤화 블록 계획법에서 우산형 대립가설을 검정하기 위한 비모수 방법에는 Kim과 Kim (1992)이 제안한 방법이 있다. 본 논문에서는 Orban과 Wolfe (1982)가 제안한 위치와 Kim (1999)이 제안한 대조군과 처리군의 방법을 확장하여 랜덤화 블록 계획법에서 우산형 대립가설에서의 검정법을 제안하였다. 또한 여러 분포에 대한 모의실험 통하여 기존의 방법과의 검정력을 비교하였다.

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References

  1. Bhat S. V. (2009). Simple k-sample rank tests for umbrella alternatives. Research Journal of Mathematics and Statistics, 1, 27-29.
  2. Hettmansperger, T. P. and Norton, R. M. (1987). Tests for patterned alternatives in k-sample problems. The Korean Journal of Applied Statistics, 82, 292-299.
  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. Kim, D. and Kim, Y. (1992). On the distribution-free tests for umbrella alternatives in a randomized block design. The Korean Journal of Applied Statistics, 5, 41-57.
  5. Kim, D., Lee, S. and Wang, W. (2011). The asymptotic behavior of linear placement statistics. Statistics and Probability Letters, 81, 326-336. https://doi.org/10.1016/j.spl.2010.10.021
  6. Lee, S. and Kim, D. (2012). Nonparametric procedures using placement in randomized block design with replications. Journal of the Korean Data & Information Science Society, 22, 1105-1112.
  7. Mack, G. A. and Wolfe, D. A. (1981). K-sample tests for umbrella alternatives. Journal of the American Statistical Association, 76, 175-181.
  8. Mann, H. B. and Whitney, D. R. (1947). On a test of whether one of the two random variables is stochastically larger than the other. The Annals of Mathematical Statistics, 18, 50-60. https://doi.org/10.1214/aoms/1177730491
  9. Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placenents. Jornals of the American Statistical Association, 77, 666-671. https://doi.org/10.1080/01621459.1982.10477870
  10. Salman, A. S. (2010). A new nonparametric test for the umbrella alternative, Master Thesis, University of North Dakota, North Dakota.
  11. Shin, M and Kim, D. (2005). Test of umbrella pattern with ordinal response data, Master Thesis, University of Catholic, Seoul.
  12. Song, M., Park, C and Lee, J. (2007). Nonparametric statistical methods, 1st Ed., Freeacademy, Seoul.

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  1. 반복이 있는 랜덤화 블록 계획법에서 선형위치통계량을 이용한 비모수 검정법 vol.30, pp.6, 2013, https://doi.org/10.5351/kjas.2017.30.6.931