![]() ![]() (3) The participants (samples) have no relationship between the other participants in their group or between the participants from the other groups. (2) The two independent variables (factor variables) are categorical (nominal or ordinal) and there can be two, three, or more groups in each independent variable. (1) The dependent variable (test variable) is continuous (interval or ratio). The primary purpose of a Two-Way ANOVA is to understand if there is an interaction between the two main effects factors (the two independent variables) on the test variable (dependent variable). The Two-Way ANOVA compares 1) the mean differences in the test variable (dependent variable) between groups (independent variable) which is the first "main effects" factor and 2) the same mean differences between these same groups, but they are sub-divided by a second independent variable which is the second "main effects" factor. AA Team Guide for the Two-Way (Factorial) ANOVA Test ![]()
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