101. To Trim or Not To Trim: Tests of Location Equality under Heteroscedasticity and Nonnormality.
- Author
-
Lix, Lisa M. and Keselman, H. J.
- Abstract
Tests of mean equality proposed by Alexander and Govern (1994) and Tsakok (1978) were compared to the well-known procedures of Brown and Forsythe (1974), James (1951), and Welch (1951) for their ability to limit the number of Type I errors in one-way designs where the underlying distributions were nonnormal, variances were nonhomogeneous, and group sizes were unequal. These tests were compared when the usual method of least squares was applied to estimate group means and variances and when adopting Yuen's (1974) trimmed means and winsorized variances. In the former case, the procedures can be used to test for population mean equality, while in the latter case they can be used to test for equality of the population trimmed means. Based on the variables examined in this investigation, which included numbers of treatment groups, degree of population skewness, and type of pairing of variances and group sizes, it is recommended that applied researchers utilize trimmed means and winsorized variances with Tsakok's test, since its rates of Type I error were closest to the nominal level of significance, ranging in value from 4.5% to 6.62%. However, it must be remembered that by adopting this strategy, one is testing for equality of population trimmed means, not the equality of population means. (Contains 30 references and 4 tables.) (Author/SLD)
- Published
- 1995