## Delta Method Standard Errors

Logistic regression produces result that are typically interpreted in one of two ways: Predicted probabilities Odds ratios Odds are the ratio of the probability that something happens to the probabilty it doesn’t happen. $\Omega(X) = \frac{p(y=1|X)}{1-p(y=1|X)}$ An odds ratio is the ratio of two odds, each calculated at a different score for $$X$$. There are strengths and weaknesses to either choice. Predictored probabilities are intuitive, but require assuming a value for every covariate.