MODGIRT: Multidimensional Dynamic Scaling of Aggregate Survey Data

Dynamic models of aggregate public opinion are increasingly popular, but to date they have been restricted to unidimensional latent traits. This is problematic because in many domains the structure of mass preferences is multidimensional. We address this limitation by deriving a multidimensional ordinal dynamic group-level item response theory (MODGIRT) model. We describe the Bayesian estimation of the model and present a novel workflow for dealing with the difficult problem of identification. With simulations, we show that MODGIRT recovers aggregate parameters without estimating subject-level ideal points and is robust to moderate violations of assumptions. We further validate the model by reproducing at the group level an existing individual-level analysis of British attitudes towards redistribution. We then reanalyze a recent cross-national application of a group-level item response theory model, replacing its domain-specific confirmatory approach with an exploratory MODGIRT model. We describe extensions to allow for overdispersion, differential item functioning, and group-level predictors. A publicly available R package implements these methods.