The odds ratio when results are reported refers to the ratio of two odds or, if you prefer, the ratio of two odds ratios That is, let us write o (Xb) = exp (Xb) The odds ratio isOdds are defined as the ratio of the probability of success and the probability of failure The odds of success are odds (success) = p/ (1p) or p/q =8/2 = 4, that is, the odds of success are 4 to 1 The odds ratio (OR) is the ratio of the odds of cancer in smokers to the odds of cancer in nonsmokers OR = (a/b)/ (c/d) = (ad)/ (bc) The risk ratio (RR), also called the relative risk, is the ratio of the probability of cancer in smokers to the probability of cancer in nonsmokers Given that you know a, b, c, and d, you can compute either of
Log Odds Definition And Worked Statistics Problems