Minitab provides three link functions, allowing you to fit a broad class of binary response models. These are the inverse of the cumulative logistic distribution function (logit), the inverse of the cumulative standard normal distribution function (normit), and the inverse of the Gompertz distribution function (gompit).

You want to choose a link function that results in a good fit to your data. You can use goodness-of-fit statistics to compare fits using different link functions. Certain link functions may be used for historical reasons or because they have a special meaning in a discipline.

One advantage of the logit link function is that it provides an estimate of the odds ratio for each predictor in the model. For the logit link function, the odds ratios from a retrospective sample estimate the odds ratios from a prospective sample. Retrospective samples are faster to collect than prospective samples.

For the cereal data, investigators chose to use the Logit link function.