A function of a probability p defined by
where Φ is the cumulative distribution function of the standard normal distribution. When it is believed that the probability of success, p, is dependent upon the values of some predictor variables, it is usual to work with some function of p that has an infinite range in order to avoid estimates of p outside the interval (0, 1). One such function is the logit; another is the probit.
Subjects: Probability and Statistics.