Category Archives: Biostatistics

Regression with a binary response

Predicting a yes/no type (binary) response given a continuous predictor.

The instance below illustrates regression several common generalized linear regression models (GLMs) with a continuous predictor X and binary response Y. The most important example is that of logistic regression, which uses the logit link function in the GLM. The logit function is defined \mbox{logit}(x) = \log\left(\frac{x}{1-x}\right).