Logistic Regression (Logit Model): a Brief Overview

The Hosmer-Lemeshow goodness of fit test for logistic regression

Mittlbock and Heinzl (2001) compare Poisson and logistic regression models for data in which the event rate is small so that the Poisson distribution provides a reasonable approximation to the Binomial distribution. An example is the number of deaths from coronary heart disease among British doctors (Table 9.1). In Section 9.2.1 we fitted the model Yi ∼Po(deathsi) with Equation (9.9) log(deathsi)= log(personyearsi) β1 β2 smokei β3 agecati β4 ages qi β5 smkagei An alternative is .Yi ∼ B