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However, we use the term “factor” instead of “independent variable” throughout this guide because in a repeated measures ANOVA, the independent variable is often referred to as the within-subjects factor. Both terms are explained below: A factor is another name for an independent variable. These are two particularly important terms that you will need to understand in order to work through this guide that is, a “within-subjects factor” and “levels”. Assumption #2: You have three within-subjects factors where each within-subjects factor consists of two or more categorical levels.Examples of continuous variables include revision time (measured in hours), intelligence (measured using IQ score), exam performance (measured from 0 to 100), weight (measured in kg), and so forth.
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As such, it extends the two-way repeated measures ANOVA, which is used to determine if such an interaction exists between just two within-subjects factors (i.e., rather than three within-subjects factors). The three-way repeated measures ANOVA is used to determine if there is a statistically significant interaction effect between three within-subjects factors on a continuous dependent variable (i.e., if a three-way interaction exists).