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Supplementary functions for item response models aiming to complement existing R packages. The functionality includes among others multidimensional compensatory and noncompensatory IRT models (Reckase, 2009,< doi: 10.1007/978-0-387-89976-3>), MCMC for hierarchical IRT models and testlet models (Fox, 2010,< doi: 10.1007/978-1-4419-0742-4>), NOHARM (McDonald, 1982,< doi: 10.1177/014662168200600402>), Rasch copula model (Braeken, 2011,< doi: 10.1007/s11336-010-9190-4>; Schroeders, Robitzsch & Schipolowski, 2014,< doi: 10.1111/jedm. 12054>), faceted and hierarchical rater models (DeCarlo, Kim & Johnson, 2011,< doi: 10.1111/j. 1745-3984.2011. 00143. x>), ordinal IRT model (ISOP; Scheiblechner, 1995,< doi: 10.1007/BF02301417>), DETECT statistic (Stout, Habing, Douglas & Kim, 1996,< doi: 10.1177/014662169602000403>), local structural equation modeling (LSEM …