Abstract
Schumann and Bradley [1957, 1959] have discussed the distribution of a statistic W, the ratio of variance ratios, using the normal theory F distribution. They have also constructed tables for critical values of W for practical use. Dar [1962] has shown that close agreement with the exact critical values of W can be obtained by using normal approximations based on Fisher's z-transformation. Atiqullah [1962a] has suggested that without making normality assumptions about the usual random effects linear models, Fisher's z-transformation can be applied to test the equality of variance ratios in two comparative experiments. In the present paper we discuss some points in more detail and study the effect of non-normality on the distribution of logel'V for large sample tests. (For discussion of a related problem, see Atiqullah [1962b].)
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