Most infant cognitive studies use visual fixation time as the measure of interest. There are, however, some serious methodological and theoretical concerns regarding what these studies reveal about infant cognition and how their results ought to be interpreted. We propose a Bayesian modeling framework which helps address these concerns. This framework allows us to more precisely formulate hypotheses about infants’ cognitive representations, formalize “linking hypotheses” that relate infants’ visual fixation behavior with stimulus complexity, and better determine what questions a given (...) experiment can and cannot answer. (shrink)