Editing Generalized linear model (section)

==== Identity link ====
The identity link ''g(p) = p'' is also sometimes used for binomial data to yield a [[linear probability model]].  However, the identity link can predict nonsense "probabilities" less than zero or greater than one.  This can be avoided by using a transformation like cloglog, probit or logit (or any inverse cumulative distribution function). A primary merit of the identity link is that it can be estimated using linear math—and other standard link functions are approximately linear matching the identity link near ''p'' = 0.5.