Unless I'm mistaken, the equation explained above does not properly describe Odds Ratio, it describes Relative Risk Odds Ratio is the odds that the diseased group was exposed, divided by odds that the nondiseased group was exposed (a/c)/(b/d) in the classic table Relative Risk is the risk of developing disease in the exposed/intervention When the study design allows for the calculation of a relative risk, it is the preferred measure as it is far more interpretable than an odds ratio The odds ratio is extremely important, however, as it is the only measure of effect that can be computed in a casecontrol study designCarsten Oliver Schmidt 1 & Thomas
Math Formula To Reproduce A Plot Comparing Relative Risk To Odds Ratios Cross Validated