Question
The researchers decided to investigate whether the relationship between quitting smoking and the intervention was modified by how much a person smokes. The researchers created
The researchers decided to investigate whether the relationship between quitting smoking and the intervention was modified by how much a person smokes. The researchers created a dichotomous measure of smoking amount, x2, which equals a 1 if the persons smokes more than 10 cigarettes per day and 0 if the person smokes less than or equal to 10 cigarettes per day. Researchers also created an interaction term between the intervention variable x1(1 if persons randomized to intervention group, 0 if randomized to control), and the smoking amount indicator x2. This interaction term, x3, is the product of x1 and x2, i.e. x3= x1*x2. The resulting logistic regression model is as follows:
ln(odds of quitting smoking)= o+1.85x1+0.46x2+0.90x3
Based on this model with the interaction term, what is the estimated odds ratio of quitting smoking for persons in the intervention group compared to persons in the control group among persons who smoke more than 10 cigarettes per day?
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