A. Agresti, A MODEL FOR REPEATED MEASUREMENTS OF A MULTIVARIATE BINARY RESPONSE, Journal of the American Statistical Association, 92(437), 1997, pp. 315-321
This article presents a legit model for a vector of binary variables o
bserved for each subject under multiple conditions. The model contains
a vector of random effects to account for correlations among the repe
ated measurements. A nonparametric treatment of the random effects imp
lies a multivariate log-linear model having quasi-symmetric structure
for the cross-classification of responses at the various conditions. T
he fit yields estimates of within-subject effects comparing the condit
ions for each variable. The estimates are identical to conditional max
imum likelihood estimates for a fixed-effects version of the legit mod
el. Extensions incorporate independent groups or allow variables to ha
ve multiple response categories.