Supplementary Item Response Theory Models
Bias Correction of Item Parameters for Joint Maximum Likelihood Estima...
Converting a Data Frame from Wide Format in a Long Format
Calculation of the DETECT and polyDETECT Index
Differential Item Functioning using Logistic Regression Analysis
Stratified DIF Variance
DIF Variance
Automatic Method of Finding Keys in a Dataset with Raw Item Responses
Functions for the Beta Item Response Model
Extended Bradley-Terry Model
Categorize and Decategorize Variables in a Data Frame
Nonparametric Estimation of Conditional Covariances of Item Pairs
Estimation of a Unidimensional Factor Model under Full and Partial Mea...
Classification Accuracy in the Rasch Model
Confirmatory DETECT and polyDETECT Analysis
Datasets from Borg and Staufenbiel (2007)
Datasets for Local Structural Equation Models / Moderated Factor Analy...
Some Datasets from McDonald's Test Theory Book
Multilevel Datasets
Datasets for NOHARM Analysis
Datasets from Reckase' Book Multidimensional Item Response Theory
Some Example Datasets for the sirt
Package
Maximum Likelihood Estimation of the Dirichlet Distribution
Simulation of a Dirichlet Distributed Vectors
Comparing Regression Parameters of Different lavaan Models Fitted to t...
Computation of Eigenvalues of Many Symmetric Matrices
Jackknife Equating Error in Generalized Logistic Rasch Model
Equating in the Generalized Logistic Rasch Model
Exploratory DETECT Analysis
Functional Unidimensional Item Response Model
Fitting the ISOP and ADISOP Model for Frequency Tables
Clustering for Continuous Fuzzy Data
Estimation of a Discrete Distribution for Fuzzy Data (Data in Belief F...
Discrete (Rasch) Grade of Membership Model
Grade of Membership Model (Joint Maximum Likelihood Estimation)
Reliability for Dichotomous Item Response Data Using the Method of Gre...
Alignment Procedure for Linking under Approximate Invariance
Person Parameter Estimation
Fit Unidimensional ISOP and ADISOP Model to Dichotomous and Polytomous...
Scoring Persons and Items in the ISOP Model
Testing the ISOP Model
Latent Regression Model for the Generalized Logistic Item Response Mod...
Converting a lavaan
Model into a mirt
Model
Latent Class Model for Two Exchangeable Raters and One Item
Adjustment and Approximation of Individual Likelihood Functions
Linking in the 2PL/Generalized Partial Credit Model
Haebara Linking of the 2PL Model for Multiple Studies
Robust Linking of Item Intercepts
Fit of a Regression Model
Least Squares Distance Method of Cognitive Validation
Local Structural Equation Models (LSEM)
Permutation Test for a Local Structural Equation Model
Test a Local Structural Equation Model Based on Bootstrap
True-Score Reliability for Dichotomous Data
Some Matrix Functions
Random Item Response Model / Multilevel IRT Model
MCMC Estimation of the Two-Parameter Normal Ogive Item Response Model
MCMC Estimation of the Hierarchical IRT Model for Criterion-Referenced...
3PNO Testlet Model
Computation of Descriptive Statistics for a mcmc.list
Object
Some Methods for Objects of Class mcmc.list
Computation of the Rhat Statistic from a Single MCMC Chain
Write Coda File from an Object of Class mcmc.list
Response Pattern in a Binary Matrix
Estimation of Multiple-Group Structural Equation Models
Specify or modify a Parameter Table in mirt
Some Functions for Wrapping with the mirt
Package
Maximum Likelihood Estimation of Person or Group Parameters in the Gen...
Assessing Model Fit and Local Dependence by Comparing Observed and Exp...
Monotone Regression for Rows or Columns in a Matrix
Functions for the Nedelsky Model
NOHARM Model in
Nonparametric Estimation of Item Response Functions
Includes Confidence Interval in Parameter Summary Table
Cumulative Function for the Bivariate Normal Distribution
Conversion of the Parameterization of the Partial Credit Model
Item and Person Fit Statistics for the Partial Credit Model
Person Parameter Estimation of the Rasch Copula Model (Braeken, 2011)
Person Fit Statistics for the Rasch Model
Calculation of Probabilities and Moments for the Generalized Logistic ...
Plausible Value Imputation in Generalized Logistic Item Response Model
Plot Function for Objects of Class mcmc.sirt
Plot Method for Object of Class np.dich
Polychoric Correlation
Parsing a Prior Model
Proportional Reduction of Mean Squared Error (PRMSE) for Subscale Scor...
Probabilistic Guttman Model
Estimation of the Statistic (Yen, 1984)
Statistic of Yen (1984) for Testlets
Calculation of Quasi Monte Carlo Integration Points
Running ConQuest From Within
EAP Factor Score Estimation
Jackknife Estimation of NOHARM Analysis
Estimation of a NOHARM Analysis from within
Multidimensional IRT Copula Model
Estimation of the Partial Credit Model using the Eigenvector Method
Jackknifing the IRT Model Estimated by Joint Maximum Likelihood (JML)
Joint Maximum Likelihood (JML) Estimation of the Rasch Model
Multidimensional Latent Class 1PL and 2PL Model
Estimation of the Generalized Logistic Item Response Model, Ramsay's Q...
Pairwise Estimation of the Rasch Model for Locally Dependent Items
Pairwise Estimation Method of the Rasch Model
Pairwise Marginal Likelihood Estimation for the Probit Rasch Model
PROX Estimation Method for the Rasch Model
Estimation of the Rasch Model with Variational Approximation
Estimation of Reliability for Confirmatory Factor Analyses Based on Di...
Creates Group-Wise Item Response Dataset
Inverse Gamma Distribution in Prior Sample Size Parameterization
Rater Facets Models with Item/Rater Intercepts and Slopes
Hierarchical Rater Model Based on Signal Detection Theory (HRM-SDT)
Simulation of a Multivariate Normal Distribution with Exact Moments
Scaling of Group Means and Standard Deviations
Statistical Implicative Analysis (SIA)
Simulate from Ramsay's Quotient Model
Simulation of the Rasch Model with Locally Dependent Responses
Simulate from Generalized Logistic Item Response Model
Defunct sirt
Functions
tools:::Rd_package_title("sirt")
Utility Functions in sirt
First Eigenvalues of a Symmetric Matrix
Multidimensional Noncompensatory, Compensatory and Partially Compensat...
Stratified Cronbach's Alpha
Summary Method for Objects of Class mcmc.sirt
Converting a fitted TAM
Object into a mirt
Object
Marginal Item Parameters from a Testlet (Bifactor) Model
Tetrachoric Correlation Matrix
Conversion of Trait Scores into True Scores
Test for Unidimensionality of CSN
Standard Error Estimation of WLE by Jackknifing
Weighted Likelihood Estimation of Person Abilities
User Defined Item Response Model
Create Item Response Functions and Item Parameter Table
Creates a User Defined Theta Distribution
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; Hildebrandt, Luedtke, Robitzsch, Sommer & Wilhelm, 2016, <doi:10.1080/00273171.2016.1142856>).
Useful links