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Case-crossover study: conditional logistic regression

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I have data from a case-crossover study. Prescription data on whether individuals have a given prescription at time 1 (yes/no) and time 2 (yes/no). I am interested in a within person analysis.
I also know individual's gender, and it is the effect associated with gender on outcome prescription that I wish to estimate. I planned to analyse this via a conditional logistic regression model (clogit), however gender is not something that changes within individuals between times 1 and 2, but rather differs between individuals. Does anyone have a suggestion as to where to start on the analysis? Any pointers would be gratefully appreciated.Thank you.


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