Module 7: Choosing Between Logistic, Log-Binomial, Poisson, and Probit Models
Module 7: Choosing Between Logistic, Log-Binomial, Poisson, and Probit Models
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This module teaches model choice as a practical decision rather than a theoretical contest. Your uploaded comparative notes distinguish logistic regression for odds ratios, log-binomial regression for direct risk ratios, Poisson regression with robust standard errors as a practical workaround, and probit regression as a latent-variable probability model.
A particularly valuable part of your teaching notes is the real mistreatment example, where a log-binomial model was attempted but failed to converge. That example makes the teaching point clear: students must learn to balance interpretability, outcome prevalence, and whether the model actually behaves well in the data.
Decision framework
- Logistic: stable and widely used when odds ratios are acceptable.
- Log-binomial: attractive for direct risk ratios, but convergence can be fragile.
- Poisson with robust standard errors: often a practical alternative when log-binomial fails.
- Probit: useful when a latent normal framework is preferred.
STATA examples
logit outcome x1 x2 x3 glm outcome x1 x2 x3, family(binomial) link(log) poisson outcome x1 x2 x3, vce(robust) probit outcome x1 x2 x3
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