To deal with nonnormal and heterogeneous data for the one-way fixed effect analysis of variance model, the authors adopted a trimmed means method in conjunction with Hall's invertible transformation into a heteroscedastic test statistic (Alexander-Govern test or Welch test). The results of simulation experiments showed that the proposed technique can control Type I error rates on the nominal level in various conditions. Moreover, there was a small gain with respect to the empirical power compared with competing techniques, especially for extremely skewed distributions. The authors recommend the proposed technique especially for calculating accurate confidence interval estimates.
All Science Journal Classification (ASJC) codes
- Developmental and Educational Psychology