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Calculate and interpret the appropriate measure of

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Calculate and interpret the appropriate measure of association between driver's education and accidents. Accident No Accident Drivers Ed 70 170 No drivers Ed 80 130 Odds ratio = (A*D) / (B*C) = (70*130)/(80*170) =0.669 Taking a driver education class results in a 33% reduction in likelihood of having an automobile accident. The question arose as to whether gender might be an effect modifier of this association. When gender was assessed, the data looked like the following: Women Men Accident No Accident Accident No Accident
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Driver's Ed 10 50 60 120 No Driver's Ed 40 50 40 80 Perform the appropriate calculations to test for effect modification. Interpret your results. Odds ratio for women: Odds ratio = (A*D) / (B*C) = (10*50)/(50*40) =0.25 Odds ratio for men: Odds ratio = (A*D) / (B*C) = (60*80)/ (120*40) = 1 When we control for gender, we observe that, in case of women, taking a driver education class results in a 33% reduction in likelihood of having an automobile accident. Where as in case of men, odds ratio of 1 indicates that taking a driver education class does not results in reduction in likelihood of having an automobile accident References: Vliegenthart R, Geleijnse JM, Hofman A, et al. (February 2002). "Alcohol consumption and risk of peripheral arterial disease: the Rotterdam study" . Am J Epidemiol. 155 (4): 332–8.
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