mirt: Multidimensional Item Response TheoryAnalysis of dichotomous and polytomous response data using    unidimensional and multidimensional latent trait models under the Item    Response Theory paradigm (Chalmers (2012) <doi:10.18637/jss.v048.i06>).     Exploratory and confirmatory models can be estimated with quadrature (EM)     or stochastic (MHRM) methods. Confirmatory    bi-factor and two-tier analyses are available for modeling item testlets.    Multiple group analysis and mixed effects designs also are available for    detecting differential item and test functioning as well as modelling    item and person covariates. Finally, latent class models such as the DINA,    DINO, multidimensional latent class, and several other discrete latent    variable models are supported.
https://cran.r-project.org/web/packages/mirt/index.html