Improved robust test statistic based on trimmed means and Hall's transformation for two-way ANOVA models under non-normality

Wei Ming Luh, Jiin Huarng Guo

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

For the two-way fixed effects ANOVA, under assumption violations, the present study employs trimmed means and Hall's transformation to correct asymmetry, and an approximate test, such as the Alexander-Govern or Welch-James test, to correct heterogeneity. The unweighted as well as weighted means analyses of omnibus effects in unbalanced designs were considered. A simulated data set was presented and computer simulations were performed to investigate the small-sample properties of the methods. The simulation results show that the proposed technique is valid and powerful compared with the conventional methods.

Original languageEnglish
Pages (from-to)623-643
Number of pages21
JournalJournal of Applied Statistics
Volume31
Issue number6
DOIs
Publication statusPublished - 2004 Jul 1

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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