Random generation of item response patterns under dichotomous and polytomous IRT models
Standard error of ability estimation (dichotomous and polytomous models)
Random generation of polytomous IRT matrices of item parameters
(Maximum) Expected Information (MEI)
Item bank generation (dichotomous models)
Testing the format of the list for content balancing under dichotomous or polytomous IRT models
Items parameters of the TCALS 1998 data set and subgroups of items
Numerical integration by linear interpolation (for catR internal use)
Ability estimation (dichotomous and polytomous models)
Observed information function (dichotomous and polytomous models)
Breaking the item bank in item parameters and group membership (for content balancing)
Maximum likelihood weighted information (MLWI) and maximum posterior weighted information (MPWI)
Expected Posterior Variance (EPV)
Item information functions, first and second derivatives (dichotomous and polytomous models)
EAP ability estimation (dichotomous and polytomous IRT models)
Function $J(\theta)$ for weighted likelihood estimation (dichotomous and polytomous IRT models)
Random generation of adaptive tests (dichotomous and polytomous models)
Simulation of multiple examinees of adaptive tests
Item response probabilities, first, second and third derivatives (dichotomous and polytomous models)
Selection of the first items
Kullback-Leibler (KL) and posterior Kullback-Leibler (KLP) values for item selection
Testing the format of the input lists
Standard error of EAP ability estimation (dichotomous and polytomous IRT models)
Selection of the next item