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I am doing multinomial logistic regression with 4 levels of dependent variable. I need to get the relative risk,
I used proc logistic with link = glogit. I got the odds ratio estimates but the estimates match with the relative risk estimates when I ran each group separately as a univariate model using proc genmod link=log.
so was wondering if the odds ratio estimate is the relative risk in the multinomial model(proc logistic with link=glogit).
Kindly provide your suggestions.
Thanks.
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They are not the same. See this note which shows how to estimate relative risks in nominal, multinomial models.
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They are not the same.
By definition, odds ratio is the ratio of odds of those who are exposed and those who are not exposed to a certain exposure. It is most frequently used in case-control studies, where (in most cases) no follow-up occurs.
Relative risk is the ratio of incidence of a certain event (usually called "endpoint") between those who are exposed and those who are not exposed to a certain exposure. Relative risk is used in cohort studies and experimental studies (e.g. randomized clinical trails, RCTs), where follow-up from the "zero time" (the time you start observing if the endpoint happened in the cohort) is a must.
Odds ratio and relative risk are fundamental and basic concepts in epidemiology. You can refer to a book on epidemiology for further explanation on the two terms.