Multidimensional Item Response Theory
Compare nested models with likelihood-based statistics
Function to calculate the area under a selection of information curves
Collapse values from multiple imputation draws
Full-Information Item Bi-factor and Two-Tier Analysis
Parametric bootstrap likelihood-ratio test
Calculate bootstrapped standard errors for estimated models
Extract raw coefs from model object
Create a user defined group-level object with correct generic function...
Create a user defined item with correct generic functions
Differential item functioning statistics
Class "DiscreteClass"
Draw plausible parameter instantiations from a given model
Differential Response Functioning statistics
Differential test functioning statistics
Empirical effect sizes based on latent trait estimates
Function to generate empirical unidimensional item and test plots
Function to calculate the empirical (marginal) reliability
Extract Empirical Estimating Functions
Expand summary table of patterns and frequencies
Function to calculate expected value of item
Function to calculate expected test score
Extract a group from a multiple group mirt object
Extract an item object from mirt objects
Extract various elements from estimated model objects
Fixed-item calibration method
Compute latent regression fixed effect expected values
Compute factor score estimates (a.k.a, ability estimates, latent trait...
Generalized item difficulty summaries
Imputing plausible data for missing values
Item fit statistics
Parametric smoothed regression lines for item response probability fun...
Function to calculate item information
Displays item surface and information plots
Generic item summary statistics
Score a test by converting response patterns to binary data
Lagrange test for freeing parameters
Convert ordered Likert-scale responses (character or factors) to integ...
Extract log-likelihood
Compute the M2 model fit statistic
Function to calculate the marginal reliability
Compute multidimensional difficulty index
Multidimensional discrete item response theory
Compute multidimensional discrimination index
Full information maximum likelihood estimation of IRT models.
Specify model information
Full-Information Item Factor Analysis (Multidimensional Item Response ...
Define a parallel cluster object to be used in internal functions
Class "MixedClass"
Mixed effects modeling for MIRT models
Class "MixtureClass"
Convert an estimated mirt model to a data.frame
Multiple Group Estimation
Class "MultipleGroupClass"
Compute numerical derivatives
Person fit statistics
Compute profiled-likelihood (or posterior) confidence intervals
Plot various test-implied functions from models
Change polytomous items to dichotomous item format
Print the model objects
Print generic for customized data.frame console output
Print generic for customized list console output
Print generic for customized matrix console output
Function to calculate probability trace lines
Compute posterior estimates of random effect
Model-based Reliable Change Index
Translate mirt parameters into suitable structure for plink package
Remap item categories to have integer distances of 1
Compute model residuals
Reverse score one or more items from a response matrix
RMSD effect size statistic to quantify category-level DIF
Second-order test of convergence
Show model object
(Generalized) Simultaneous Item Bias Test (SIBTEST)
Simulate response patterns
Class "SingleGroupClass"
Summary of model object
Function to calculate test information
Create all possible combinations of vector input
Convert traditional IRT metric into slope-intercept form used in mirt
Extract parameter variance covariance matrix
Wald statistics for mirt models
Analysis of discrete response data using unidimensional and multidimensional item analysis models under the Item Response Theory paradigm (Chalmers (2012) <doi:10.18637/jss.v048.i06>). Exploratory and confirmatory item factor analysis models are estimated with quadrature (EM) or stochastic (MHRM) methods. Confirmatory bi-factor and two-tier models are available for modeling item testlets using dimension reduction EM algorithms, while multiple group analyses and mixed effects designs are included for detecting differential item, bundle, and test functioning, and for modeling item and person covariates. Finally, latent class models such as the DINA, DINO, multidimensional latent class, mixture IRT models, and zero-inflated response models are supported.
Useful links