All-pairwise Multiple Comparison for Normal Mean Vectors Based on Tukey-Welsch's Procedure

Authors

  • Tsunehisa Imada

Keywords:

Asymptotic distribution, Power of the test, Stepwise procedure

Abstract

In this study we consider all-pairwise multiple comparison for several normal mean vectors. Specifically, intended to more powerful procedure compared to the single step procedure we apply Tukey-Welsch's step down procedure to our problem. We give some simulation results regarding critical values and power of the test intended to compare procedures.

References

Anderson T W. An introduction to multivariate statistical analysis (Third ed.). Wiley, New York, 2003.

Tukey J W. The problem of multiple comparisons, Unpublished manuscript,

Princeton University, 1953.

Seo T, Siotani M. The multivariate Studentized range and its upper percentiles.

Journal of the Japan Statistical Society, 1992, 22: 123-137.

Fujikoshi Y, Seo T. Asymptotic expansions for the joint distribution of correlated Hotelling's statistics under normality. Communications in Statistics, Theory and Methods, 1999, 28: 773-788,.

Welsch R E. A modification of the Newman-Keuls procedure for multiple comparisons, Working Paper Sloan School of Management, M.I.T., Boston, MA, 1972, pp. 612-672,.

Peritz E. A note on multiple comparisons, Unpublished manuscript, Hebrew University, Israel, 1970.

Hsu J C. Multiple comparisons. Boca Raton : Chapman&Hall, 1996.

Downloads

How to Cite

All-pairwise Multiple Comparison for Normal Mean Vectors Based on Tukey-Welsch’s Procedure. (2016). Asian Journal of Applied Sciences, 4(1). https://ajouronline.com/index.php/AJAS/article/view/3671

Similar Articles

11-20 of 243

You may also start an advanced similarity search for this article.