Advanced SearchSearch Tips
Multivariate Test based on the Multiple Testing Approach
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Multivariate Test based on the Multiple Testing Approach
Hong, Seung-Man; Park, Hyo-Il;
  PDF(new window)
In this study, we propose a new nonparametric test procedure for the multivariate data. In order to accommodate the generalized alternatives for the multivariate case, we construct test statistics via-values with some useful combining functions. Then we illustrate our procedure with an example and compare efficiency among the combining functions through a simulation study. Finally we discuss some interesting features related with the new nonparametric test as concluding remarks.
Combining function;multivariate data;nonparametric test;permutation principle;
 Cited by
비모수 방법에 의한 다변량 검정절차에 대한 고찰과 그 이후,홍승만;박효일;

Journal of the Korean Data Analysis Society, 2015. vol.17. 3B, pp.1319-1326
Barlow, R. E. and Proschan, F. (1975). Statistical Theory of Reliability and Life Testing, Probability Models, Holt, Rinehart and Winston, New York.

Bell, C. B. and Smith, P. J. (1969). Some Nonparametric Tests for the Multivariate Goodness-of-Fit, Multisample, Incomplete and Symmetry Problems, Multivariate Analysis, Ed. Krishnaiah, P. R., Academic Press.

Bhattacharyya, G. K. and Johnson, R. A. (1970). A layer rank test for ordered bivariate alternatives, Annals of Mathematical Statistics, 41, 1296-1310. crossref(new window)

Boyett, J. M. and Shuster, J. J. (1977). Nonparametric one-sided tests in multivariate analysis with medical applications, Journal of American Statistical Association, 72, 665-668. crossref(new window)

Efron, B. (1979). Bootstrap methods: Another look at the jackknife, Annals of Statistics, 7, 1-26. crossref(new window)

Fisher, R. A. (1925). Statistical Methods for Research Workers, Oliver and Boyd, Edinburgh.

Good, P. (2000). Permutation Tests-A Practical Guide to Resampling Methods for Testing Hypotheses, 2nd Edition, Springer, New York.

Morrison, D. F. (2004). Multivariate Statistical Methods, 4th Edition. Thomson Brooks/Cole, New York.

Park, H. I., Na, J. H. and Desu, M. M. (2001). Nonparametric one-sided tests for multivariate data, Sankhya, Series B, 63, 286-297.

Pesarin, F. (2001). Multivariate Permutation Tests with Applications in Biostatistics, Wiley, New York.

Puri, M. L. and Sen, P. K. (1971). Nonparametric Methods in Multivariate Analysis, Wiley, New York.

Shao, J. and Tu, D. (1995). The Jackknife and Bootstrap, Springer, New York

Westfall, P. H. and Young, S. S. (1993). Resampling-based Multiple Testing, Wiley, New York.