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Traditional analysis of variance (ANOVA) software allows researchers to testfor the significance of main effects in the presence of interactions withoutexposure to the details of how the software encodes main effects andinteractions to make these tests possible. Now that increasing numbers ofresearchers are using more general regression software, including mixed-effectsmodels, to supplant the traditional uses of ANOVA software, conducting suchtests generally requires greater knowledge of how to parameterize one'sstatistical models appropriately. Here I present information on how to conductsuch tests using R, including relevant background information and workedexamples.

Using R formulae to test for main effects in the presence of higher-order interactions