Jm. Williamson et al., ANALYZING BIVARIATE ORDINAL DATA USING A GLOBAL ODDS RATIO, Journal of the American Statistical Association, 90(432), 1995, pp. 1432-1437
A moment method is proposed for regression analysis of bivariate order
ed categorical data using the global odds ratio as the measure of asso
ciation. For modeling the margins, this method utilizes the stochastic
ordering implicit in the data. This method allows for covariate effec
ts in modeling the association between responses. An application of th
e proposed model is illustrated using the ophthalmological data from t
he Wisconsin Epidemiologic Study of Diabetic Retinopathy for identifyi
ng risk factors among younger onset diabetics. This model is also exte
nded to a longitudinal data setting with more than two repeated measur
es.