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Correcting the Odds Ratio in Cohort Studies of Common Outcomes
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To the Editor: The article by Drs Zhang and Yu1 addresses a common mistakeusing the odds ratio (OR) to estimate relative risk (RR) when the disease being studied is common (>10%).1 The authors' proposed solution is intriguing; however, it may be an oversimplification.
Logistic regression yields an OR between each variable and the outcome of interest. The formula presented to calculate the RR from the OR appears to be reasonable if there is no effect modificationthat is, the RR is similar for all levels of the confounding variables. However, it is possible for the OR to display homogeneity across covariate patterns while the RR does not because they are calculated differently.
More important, the proposed adjustment of the confidence interval (CI) can produce narrower intervals than direct estimates. The proposed correction ignores the variance of P0; however, P0 is usually only a sample-based estimate. Directly estimated CIs for RR . . . [Full Text of this Article]
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