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. Statist. 29, 91–100, 1987).

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