We examine properties of the LM test of overdispersion when the alternative is characterized by arbitrary correlated random effects. We first derive a result that a natural test to detect such arbitrary correlated random effects would take the form of the test of conditional moment restriction,...

We propose a method of estimating the linear-in-means model of peer effects in which the peer group, defined by a social network, is endogenous in the outcome equation for peer effects. Endogeneity is due to unobservable individual characteristics that influence both link formation in the...