# Logistic regression negative coefficient interpretation (reciprocal of negative logistic coefficient )

Suppose if a dependent variable is having a disease (1) and not having a disease (0). similarly , independent variable is smoking and not smoking. here , not smoking as reference group. Again, if logistic coefficient of smoking is - 0.3. odd ratio = exp (-0.3) = 0.74 Can we interpret it as , reciprocal of odd ratio= 1/0.74 = 1.34 .. Smoker have 1.34 times odd of not having disease than non smoker. or is it " Non smoker have 1.34 times odd of having disease than smoker" is both interpretation correct or not ? I am just confused.

• Can you please share some information: (a) how is the smoking variable encoded? Zero for not smoking? (b) Is there only one independent variable in the model or is (non-)smoking just the one of interest, here. But there are more? Jul 28, 2023 at 14:58
• for smoking ( smoker = 1, and non-smoker = 0) . Yes for the model, this variable is only of interest. Jul 29, 2023 at 2:58