On the smallest of several correlated F statistics
- 1 December 1962
- journal article
- Published by Oxford University Press (OUP) in Biometrika
- Vol. 49 (3-4) , 509-523
- https://doi.org/10.1093/biomet/49.3-4.509
Abstract
This paper deals with the statistic Y which is the smallest of p correlated F statistics, each of which has the same chi-square in the denominator and such that all ( p +1) chi-squares are independent. Exact expressions, as well as approximations and bounds, for computing the probability integral, the percentage points and the moments of the statistic Y are derived. Tables of the percentage points and moments are given for the special case when all the degrees of freedom of the ( p + 1) chi-squares have a common value, which is an even integer.Keywords
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