I am trying to figure out the method to use to calculate the sample size for a matched cross-sectional study with 3 arms. Participants will be matched based on their age, geographic area, and number of children they have (0 vs 1). The primary outcome is experience of family violence (0 vs 1) and therefore it is a binary outcome.
Since there are more than two arms, ANOVA applies here (rather than a paired t-test). Since it's matched samples - repeated measures ANOVA seems to be the most relevant to calculate the sample size.
The catch is that the repeated ANOVA sample size calculations require at least two time-measurements, but this study is cross-sectional.
If anybody has any advice on how to calculate the sample size in this case, that would be much appreciated!