We conducted an intervention study with three measurements of fear in three time points. Results showed that two groups were not matched for two demographic variables (education level & parity). I wonder if I can do a repeated measure ANOVA to test if the dependent variable (fear score)was different in two groups over three time points.
Yes. A two-way repeated measures ANOVA (also known as within-within-subjects ANOVA) compares the mean differences between groups that have been split on two within-subjects factors ( independent variables). A two-way repeated measures is often used in studies where you have measured a dependent variable over two or more time points, or when subjects have undergone two or more conditions (i.e., the two factors are "time" and " intervention " in your case). The primary purpose of a two-way repeated measures ANOVA is to understand if there is an interaction between these two factors on the dependent variable. Therefore, you should assess the interaction with time.
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