DOI QR코드

DOI QR Code

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

반복이 있는 랜덤화 블록 계획법에서 정렬방법과 결합위치를 이용한 비모수 검정법

  • Lee, Eunjee (Department of Biomedicine.Health Science, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biomedicine.Health Science, The Catholic University of Korea)
  • 이은지 (가톨릭대학교 의생명.건강과학과) ;
  • 김동재 (가톨릭대학교 의생명.건강과학과)
  • Received : 2017.02.13
  • Accepted : 2017.03.20
  • Published : 2017.04.30

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.

반복이 있는 랜덤화 블록 계획법을 검정하는 비모수 검정방법에는 Mack과 Skillings (1980), Mack (1981)가 제안한 방법이 있다. 본 논문에서는 Hodges와 Lehmann (1962)의 정렬 방법과 Chung과 Kim (2007)이 제안한 결합위치 검정법을 확장하여 반복이 있는 랜덤화 블록 모형에서 새로운 비모수적 방법을 제시하였다. 또한 모의실험을 통해 모수적 방법과 기존의 비모수적 방법과의 검정력을 비교하였다.

Keywords

References

  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. https://doi.org/10.7465/jkdi.2013.24.1.95
  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. https://doi.org/10.1080/01621459.1937.10503522
  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. https://doi.org/10.1214/aoms/1177704575
  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. https://doi.org/10.1080/01621459.1952.10483441
  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. https://doi.org/10.1080/03610918108812236
  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. https://doi.org/10.1080/01621459.1980.10477577
  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. https://doi.org/10.1080/01621459.1982.10477870
  10. Song, H. and Lee, H. (1995). Design of Clinical Experiments Using SAS, Free Academy, Seoul.