Marginal regression modeling of correlated multicategorical response: A likelihood approach

A full likelihood approach for marginal regression modeling of
correlated multicategorical data is proposed. It is in fact an
extension of the approach of Fitzmaurice and Laird (1993) for
repeated binary response. The association is directly modeled in
terms of conditional odds ratio parameters resulting in the fact
that the maximum likelihood estimates of mean and association
parameters are asymptotically independent. The technical details
are worked out and the approach is illustrated with data previously
analyzed by Miller, Davis and Landis (1993).