Logit: Evenly Distributed Categories

Complementary Log-Log: Higher Categories More Probable;

Negative Log-Log:Lower Categories More Probable

Probit: Analysis with Explicitly Normally Distributed Latent Variable;

Cauchit: Outcome With Many Extreme Value

Probit and logit models are reasonable choices when the changes in the cumulative probabilities are gradual. If there are abrupt changes, other link functions should be used. The complementary log- log link may be a good model when the cumulative probabilities increase from 0 fairly slowly and then rapidly approach 1. If the opposite is true, namely that the cumulative probability for lower scores is high and the approach to 1 is slow, the negative log- log link may describe the data. If the complementary log- log model describes the probability of an event occurring, the loglog model describes the probability of the event not occurring.

-------------------------------------------------------

SPSS 14.0 Advanced Statistical Procedures Companion
by Marija J. Norušis
ISBN 0-13-174700-2
Prentice Hall
Pages 368