Assumptions Underlying Factorial ANOVA with Two Between-Subjects Factors
Level of measurement. The criterion variable should be assessed on an interval- or ratio-level of measurement. Both predictor variables should be nominal-level variables (i.e., categorical variables).
Independent observations. A given observation should not be dependent on any other observation in another cell. (For a detailed explanation of this assumption, see Chapter 8, “t Tests: Independent Samples and Paired Samples.”)
Random sampling. Scores on the criterion variable should represent a random sample drawn from the populations of interest.
Normal distributions. Each cell should be drawn from a normally distributed population. If each cell contains more than 30 participants, ...
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