Here is, I would assume, a fairly common situation: I would like to know which test to use to assess whether the tendency to answer "Yes" on question 1 of a questionnaire is associated with the tendency to answer "Yes" on question 2 on the same questionnaire. Phrased differently, I want to know whether two categorial variables, both measured on the same individuals, are associated. Which test do I use? For clarity, the questions are "Yes/No"-type questions.
Surprisingly, the above question, which strikes me as a fairly simple and straight-forward methodological question concerning the analysis of 2x2 contingency tables, has resulted in a large amount of head-scratching during the past couple of days. From my understanding, it is advised that one does not use a chi-square test in this scenario, since the measures are dependent (each participant answers both questions). But the commonly suggested alternative, McNemar's test, seems to be applied mainly when having measured the same variable during pre-post tests (or when having matched pairs). This strikes me as a different situation from the one I'm in.
Which test would be appropriate in my situation? I'd be very grateful for your input.