We discuss maximum likelihood inference for the bivariate logistic model, specified in terms of the marginal logits and the log odds ratio. Using the exponential family nonlinear model formulation the model fitting can be done in GLIM. The procedure is illustrated by modelling survival of unilateral and bilateral total hip arthroplasties as function of patient specific and hip specific covariates. We compare maximum likelihood inference with inference obtained from solving likelihood equations under the assumption of within block independence and using robust standard errors for the estimates. Simulations indicate that the latter procedure is effcient for block specific covariates but not for subunit specific covariates.
Biostatistics | Multivariate Analysis | Statistical Models
Palmgren, Juni, "Regression Models for Bivariate Binary Responses" (November 1989). UW Biostatistics Working Paper Series. Working Paper 101.