Heteroscedastic test statistics for one-way analysis of variance: The trimmed means and hall's transformation conjunction

Wei Ming Luh, Jiin Huarng Guo

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)75-100
Number of pages26
JournalJournal of Experimental Education
Volume74
Issue number1
DOIs
Publication statusPublished - 2005 Sep 1

All Science Journal Classification (ASJC) codes

  • Education
  • Developmental and Educational Psychology

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