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ABSTRACT
In this study, we discuss multiple comparisons for checking differences among normal variances. Specifically, we consider the multiple comparison with a control and the all-pairwise multiple comparison. For the multiple comparison with a control we determine the critical value for pairwise comparison satisfying a specified significance level exactly and formulate the power of the test under a specified alternative hypothesis. For the all-pairwise multiple comparison we determine two kinds of conservative critical values for pairwise comparison for a specified significance level and calculate the power of the test by Monte Carlo simulation. Finally, we give some numerical examples regarding critical values and power of the test.
Acknowledgments
Special thanks are due to the reviewer and the editors for their helpful advices and comments in modifying the paper. I am deeply grateful to Dr. N. Tsuchiya and Dr. T. Nakamura in Tohoku University for their helpful comments and suggestions for the example given in Section 4.