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Cochran's Q test is a nonparametric analog to the repeated measures ANOVA when the outcome is dichotomous/binary.

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Is this Cochran's Q test worthy? - Unsure if my data is paired

Yes, Cochran's Q is a correct test for this situation. You can use post-hoc McNemar tests to conduct multiple comparisons among questions. The data are "paired" in the sense that the same person is …
Sal Mangiafico's user avatar
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Cochran’s Q test for binary outcome and multilevel IV

Look at the data arrangement in the example you reference: To use Cochran's Q test, you need to have a dichotomous dependent variable, a grouping variable, and then a variable indicating the subjects …
Sal Mangiafico's user avatar