Abstract
Comparing the variances of several independent samples is a classic problem and many tests have been proposed in the literature. Conover et al. [Conover, W.J., Johnson, M.E. and Johnson, M.M., 1981, A comparative study of tests for homogeneity of variances with applications to the outer continental self bidding data. Technometrics, 23, 351–361.] and Shoemaker [Shoemaker, L.H., 1995, Tests for difference in dispersion based on quantiles. The American Statistician, 49(2), 179–182.] find that the existing tests lack power for skewed sampling distributions. To address this problem, we studied the effect of an a priori symmetrization of the data on the performance of tests for homogeneity of variances. This article also updates the comprehensive comparative study of Conover et al.
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