I did and educational intervention to type 2 DM (clinical trial for 60 patients, 30 in intervention arm and 30 in control arm)

I want to do regression analysis to a dependent variable, improvement in HbA1c (improvement was abnormally distributed) with a number of independent variables (such as improvement in diabetes self-management, adherence, age, sex, educational level, duration of Diabetes)...

So which regression analysis can fit to my above data?

Note: log transformation convert abnormally distributed HbA1c to normal distribution

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