Odds Ratio vs. Probability?

Asked Jan 29 '20 at 16:29

Active Feb 17 '20 at 14:08

Viewed 276 times

I have a question about odds ratios vs. probabilities in terms of a contingency table (studying an exposure/disease). I know that once I have found an odds ratio, I can also find the probability by taking the odds ratio and dividing it by one plus the odds ratio.

However, I want to understand what exactly that probability represents ... is it a conditional probability? The probability of an individual having the disease given exposure?

edited Feb 17 '20 at 14:08

whuber

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asked Jan 29 '20 at 16:29

user272213

1

An odds ratio is the ratio of two odds. Each individual odds value in the ratio can be converted to a probability as you propose, but I don't think that the same transformation applied to an odds ratio results in a probability value that has any easy interpretation. – EdM Jan 29 '20 at 17:34
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many Qs with answers about interpretation of odds and odds ratios. Must be a dup in there. – kjetil b halvorsen Feb 17 '20 at 07:55
@kjetil Thank you. I have found that restricting searches with answers:1 finds only questions and can omit the most relevant answers. Setting a small threshold on the score, as in score:2, eliminates relatively poor answers. Sometimes sorting by votes is useful, especially for basic, popular subjects. Thus, this version of your search proved effective. – whuber Feb 17 '20 at 14:10

Odds Ratio vs. Probability?

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