DEFINITION of 'Three-Way ANOVA' A statistical test used to determine the effect of three nominal predictor variables on a continuous outcome variable. SPSS FAQ How can I explain a three-way interaction in ANOVA? If you are not familiar with three-way interactions in ANOVA, please see our general FAQ on understanding. The two independent variables in a two-way ANOVA are called factors. The idea is that there are two variables, factors, which affect the dependent variable. 688 Chapter 22 • Three-Way ANOVA A CONCEPTUAL FOUNDATION 22 Chapter Three-Way ANOVA You will need to use the following from previous chapters: Symbols 1 Three-way ANOVA Divide and conquer General Guidelines for Dealing with a 3-way ANOVA • ABC is significant: – Do not interpret the main effects or the 2-way Analysis of variance (ANOVA). In a 3-way ANOVA with factors x, y and z, the ANOVA model includes terms for the main effects (x, y, z). 3-Way Between Groups Factorial ANOVA Application: Examination of main effects and interactions relating three IVs (with 2 or more conditions each) to a single. FAQ How can I understand a three-way interaction in ANOVA? Consider the three-way ANOVA, shown below, with a significant three-way interaction. GraphPad Statistics Guide View the User or Regression Guide. One-way ANOVA; Repeated measures one-way ANOVA; Kruskal-Wallis test; Friedman's test; Two-way ANOVA; 1 THREE-WAY ANOVA MODELS (CHAPTER 7) Consider a completely randomized design for an experiment with three treatment factors A, B and C. We will assume that every.