Abstract
Multi-way (multifactor) models with significant interaction can be analyzed using simple effect comparisons. These F-tests are multiple comparisons, which are referred to as slice tests (e.g., in a two-factor study one slices by factor A by comparing the levels of factor B for each level of A). Slicing uses the full model degrees of freedom and mean squared error (MSE). This paper shows how to use analysis of means (ANOM) methods analogous to ANOVA F-test slicing to perform multiple comparisons. This approach results in a set of powerful decision charts that can be used to assess both statistical and practical significance.
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