Multilevel Logistic Regression

Andy Grogan-Kaylor

Multilevel Logistic Regression

\[\underbrace{\ln \Big(\frac{p(\text{outcome})}{1-p(\text{outcome})} \Big)}_{\text{log odds}} = \underbrace{\beta_0}_{\text{intercept}} + \underbrace{\beta_1 x_1 + \beta_2 x_2}_{\text{independent variables}} + \underbrace{u_0}_{\text{random effect(s)}}\]