ANOVA, t tests, and linear regression

Permutation versus Bootstrap Significance Tests in Multiple Regression and Anova

Kempthorne's (1952) formulation of the randomization test is extended to yield a permutational analog of the bootstrap significance test. In the new test, residuals of a multiple regression are permuted instead of being bootstrapped. The test is an attractive alternative for Oja's test that permutes predictors (Austr. J.

Testing Group Differences using T-tests, ANOVA, and Nonparametric Measures

I would like to thank Anne-Marie Leistico and Angie Maitner for comments made on an earlier version of these notes. If you wish to cite the contents of this document, the APA reference for them would be DeCoster, J. (2006). Testing Group Differences using T-tests, ANOVA, and Nonparametric Measures. Retrieved (month, day, and year you downloaded the notes, without the parentheses) from http://ww...

Tests of linear hypotheses in the ANOVA under heteroscedasticity

It is often of interest to undertake a general linear hypothesis testing (GLHT) problem in the one-way ANOVA without assuming the equality of the group variances. When the equality of the group variances is valid, it is well known that the GLHT problem can be solved by the classical F-test. The classical F test, however, may lead to misleading conclusions when the variance homogeneity assumptio...

Two-Way ANOVA tests

I. Definition and Applications...............................................................................2 II. Two-Way ANOVA prerequisites.......................................................................2 III. How to use the Two-Way ANOVA tool?...........................................................3 A. Parametric test, assume variances equal. .........................................

Bootstrap Tests of Nonnested Linear Regression