A study on the bi-aspect procedure with location and scale parameters (Short Title: Bi-aspect procedure)
0
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
In this research we propose a new nonparametric test based on the bi-aspect procedure. We consider the hypothesis which deals with the location and scale parameters simultaneously and propose a new test statistic by choosing a suitable combining function. Then we consider to obtain the p-values by applying the permutation principle. We compare the efficiency among the combining functions by obtaining empirical powers through a simulation study. Then we discuss some interesting results in our procedure as concluding remarks.
Abstract
In this research we propose a new nonparametric test based on the bi-aspect procedure. We consider the hypothesis which deals with the location and scale parameters simultaneously and propose a new test statistic by choosing a suitable combining function. Then we consider to obtain the p-values by applying the permutation principle. We compare the efficiency among the combining functions by obtaining empirical powers through a simulation study. Then we discuss some interesting results in our procedure as concluding remarks.
참고문헌 (12)
- Brombin, C., "Multi-aspect procedures for paired data with application to biometric morphing", Communications in Statistics-Simulation and Computation, 40, pp.1~12 (2011)
- Efron, B., "Bootstrap methods : another look at the jackknife", Annals of Statistics, 7, pp.1~26 (1979)
- Fleming, T. R., "Supremum version of the logrank and generalized Wilcoxon statistics", Journal of American Statistical Society, 82, pp.312~320 (1987)
- Fisher, R. A., "Statistical Methods for Research Workers" (1925), Oliver & Boyd
- Good, P., "Permutation Tests-A Practical Guide to Resampling Methods for Testing Hypotheses, 2nd Ed." (2000), Springer
- Marozzi, M, "A bi-aspect nonparametric test for the two-sample location problem", Computational Statistics and Data Analysis, 46, pp.81~92 (2004)
- Marozzi, M, "Multivariate tri-aspect non-parametric testing", Journal of Nonparametric Statistics, 19, pp.269~282 (2007)
- Mood, A. M., "On the asymptotic efficiency of certain nonparametric two-sample tests", Annals of Mathematical Statistics, 25, pp.514~522 (1954)
- Park, H. I., "A nonparametric test procedure based on a group of quantile tests", Communications in Statistics-Simulation and Computation, 40, pp.759~783 (2011)
- Pesarin, F., "Multivariate Permutation Tests" (2001), Wiley
- Salmaso, L., "Multiple aspect testing for case-control designs", Metrika, 62, pp.331~340 (2005)
- Shao, J., "The Jackknife and Bootstrap" (1995), Springer
