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On the Behrens-Fisher distribution and its generalization to the pairwise comparisons

100%

Witkovský V.

Discussiones Mathematicae Probability and Statistics

2002

tom 22

nr 1-2

73-104

Weerahandi (1995b) suggested a generalization of the Fisher's solution of the Behrens-Fisher problem to the problem of multiple comparisons with unequal variances by the method of generalized p-values. In this paper, we present a brief outline of the Fisher's solution and its generalization as well as the methods to calculate the p-values required for deriving the conservative joint confidence interval estimates for the pairwise mean differences, refered to as the generalized Scheffé intervals. Further, we present the corresponding tables with critical values for simultaneous comparisons of the mean differences of up to k = 6 normal populations with unequal variances based on independent random samples with very small sample sizes.

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1 Discussiones Mathematicae Probability and Statistics

1 Witkovský V.

1 2002

Wyniki wyszukiwania

On the Behrens-Fisher distribution and its generalization to the pairwise comparisons