One advantage of odds ratios is that we can estimate it in a case-control study, when we usually oversample the cases. However, we cannot directly calculate the probability using logistic regression in a case-control study, since the beta(0) of the case-control study cannot represent the target population, which beta(0) of the target population is equal to beta(0) of the case-control study - log(sampling probability for cases/sampling probability for controls).
- King (2004). Inference under full population information in "Case-Control Studies, Inference in" of Encyclopedia of Biopharmaceutical Statistics
- Zhang (1998). What's the relative risk? A method of correcting the odds ratio in cohort studies of common outcomes
- Greenland (1981). Multivariate estimation of exposure-specific incidence from case-control studies
- Austin (2010). Overestimation of risk ratios by odds ratios in trials and cohort studies: alternatives to logistic regression
- Austin (2011). A Tutorial on Methods to Estimating Clinically and Policy-Meaningful Measures of Treatment Effects in Prospective Observational Studies: A Review
- Spiegelman (2005). Easy SAS calculations for risk or prevalence ratios and differences
- Bartlett (2015). Estimating risk ratios from observational data in Stata
- Chui (2013). A Regression-Based Method for Estimating Risks and Relative Risks in Case-Base Studies
- Knol (2012). Overestimation of risk ratios by odds ratios in trials and cohort studies: alternatives to logistic regression
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