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...

Estimators of parameters are derived by using the method of modified maximum likelihood (MML) estimation when the distribution of covariate X and the error e are both non-normal in a simple analysis of covariance (ANCOVA) model. We show that our estimators are efficient. We also develop a test...

An alternative to conventional rank tests based on a Euclidean distance analysis space is described. Comparisons based on exact probability values among classical two-sample t-tests and the Wilcoxon-Mann-Whitney test illustrate the advantages of the Euclidean distance analysis space alternative.