TitleLog-mean linear regression models for assessing
the effect of HIV-infection on multimorbidity in
a case-control study

Abstract
We propose a multivariate regression approach for binary variables based
on the log-mean linear link function for the response variables. This approach has
shown to provide useful insights for assessing the effect of HIV-infection on multimorbidity,
defined as the occurrence of co-existing noninfectious diseases for a
sample of patients deriving from a case-control study. The coefficients of these regression
models are log-linear combinations of relative risks and we show that submodels
identified by zero regression coefficients encode relevant hypotheses for the
considered application.

Joint work with Alberto Roverato