Learn R Programming

⚠️There's a newer version (4.1-15) of this package.Take me there.

sirt

Supplementary Item Response Theory Models

If you use sirt and have suggestions for improvement or have found bugs, please email me at robitzsch@ipn.uni-kiel.de.

Manual

The manual may be found here https://alexanderrobitzsch.github.io/sirt/

CRAN version

The official version of sirt is hosted on CRAN and may be found here. The CRAN version can be installed from within R using:

utils::install.packages("sirt")

GitHub version

The version hosted here is the development version of sirt. The GitHub version can be installed using devtools as:

devtools::install_github("alexanderrobitzsch/sirt")

Copy Link

Version

Install

install.packages('sirt')

Monthly Downloads

2,279

Version

3.12-66

License

GPL (>= 2)

Issues

Pull Requests

Stars

Forks

Repository

https://github.com/alexanderrobitzsch/sirt

Homepage

https://sites.google.com/site/alexanderrobitzsch2/software

Maintainer

Alexander Robitzsch

Last Published

May 17th, 2022

Functions in sirt (3.12-66)

\(Q_3\) Statistic of Yen (1984) for Testlets

Dataset PISA Reading

Some Datasets from McDonald's Test Theory Book

Item Parameters from Two PISA Studies

Dataset Mathematics

Latent Class Model for Two Exchangeable Raters and One Item

Converting a lavaan Model into a mirt Model

likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions

MCMC Estimation of the Hierarchical IRT Model for Criterion-Referenced Measurement

linking.haberman

Linking in the 2PL/Generalized Partial Credit Model

mcmc.3pno.testlet

3PNO Testlet Model

Person Fit Statistics for the Rasch Model

EAP Factor Score Estimation

Estimation of a NOHARM Analysis from within R

Examples with Datasets from Eid and Schmidt (2014)

Dataset European Social Survey 2005

Datasets from Borg and Staufenbiel (2007)

Joint Maximum Likelihood (JML) Estimation of the Rasch Model

Calculation of Probabilities and Moments for the Generalized Logistic Item Response Model

C-Test Datasets

Datasets for NOHARM Analysis

rasch.jml.biascorr

Bias Correction of Item Parameters for Joint Maximum Likelihood Estimation in the Rasch model

reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Dichotomous Data

Creates Group-Wise Item Response Dataset

Utility Functions in sirt

tools:::Rd_package_title("sirt")

data.pars1.rasch

Item Parameters for Three Studies Obtained by 1PL and 2PL Estimation

Dataset Used in Stoyan, Pommerening and Wuensche (2018)

Converting a Data Frame from Wide Format in a Long Format

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

Maximum Likelihood Estimation of the Dirichlet Distribution

greenyang.reliability

Reliability for Dichotomous Item Response Data Using the Method of Green and Yang (2009)

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

Fit of a \(L_q\) Regression Model

Least Squares Distance Method of Cognitive Validation

Random Item Response Model / Multilevel IRT Model

MCMC Estimation of the Two-Parameter Normal Ogive Item Response Model

nedelsky-methods

Functions for the Nedelsky Model

NOHARM Model in R

Item and Person Fit Statistics for the Partial Credit Model

person.parameter.rasch.copula

Person Parameter Estimation of the Rasch Copula Model (Braeken, 2011)

rasch.jml.jackknife1

Jackknifing the IRT Model Estimated by Joint Maximum Likelihood (JML)

Multidimensional Latent Class 1PL and 2PL Model

Hierarchical Rater Model Based on Signal Detection Theory (HRM-SDT)

Simulation of a Multivariate Normal Distribution with Exact Moments

Functions for the Beta Item Response Model

Extended Bradley-Terry Model

Confirmatory DETECT and polyDETECT Analysis

Simulate from Generalized Logistic Item Response Model

Defunct sirt Functions

unidim.test.csn

Test for Unidimensionality of CSN

Estimation of the \(Q_3\) Statistic (Yen, 1984)

Person Parameter Estimation

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

Estimation of a Unidimensional Factor Model under Full and Partial Measurement Invariance

Weighted Likelihood Estimation of Person Abilities

automatic.recode

Automatic Method of Finding Keys in a Dataset with Raw Item Responses

BEFKI Dataset (Schroeders, Schipolowski, & Wilhelm, 2015)

data.activity.itempars

Item Parameters Cultural Activities

Dataset Big 5 from qgraph Package

Categorize and Decategorize Variables in a Data Frame

Dataset for Invariance Testing with 4 Groups

Dataset with Mixed Dichotomous and Polytomous Item Responses

Nonparametric Estimation of Conditional Covariances of Item Pairs

Longitudinal Dataset

class.accuracy.rasch

Classification Accuracy in the Rasch Model

Datasets for Local Structural Equation Models / Moderated Factor Analysis

Dataset with Raw Item Responses

Multilevel Datasets

Dataset Reading

Dataset PISA Mathematics

dif.strata.variance

Stratified DIF Variance

data.pirlsmissing

Dataset from PIRLS Study with Missing Responses

data.liking.science

Dataset 'Liking For Science'

Exploratory DETECT Analysis

Discrete (Rasch) Grade of Membership Model

equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model

Grade of Membership Model (Joint Maximum Likelihood Estimation)

Dataset TIMSS Mathematics

Datasets for Pairwise Comparisons

Calculation of the DETECT and polyDETECT Index

Rating Datasets

Some Example Datasets for the sirt Package

md.pattern.sirt

Response Pattern in a Binary Matrix

Clustering for Continuous Fuzzy Data

Datasets from Reckase' Book Multidimensional Item Response Theory

mirt.specify.partable

Specify or modify a Parameter Table in mirt

Nonparametric Estimation of Item Response Functions

dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis

data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia

Estimation of a Discrete Distribution for Fuzzy Data (Data in Belief Function Framework)

Fitting the ISOP and ADISOP Model for Frequency Tables

Functional Unidimensional Item Response Model

Fit Unidimensional ISOP and ADISOP Model to Dichotomous and Polytomous Item Responses

parmsummary_extend

Includes Confidence Interval in Parameter Summary Table

Plot Method for Object of Class np.dich

Local Structural Equation Models (LSEM)

Scoring Persons and Items in the ISOP Model

lsem.permutationTest

Permutation Test for a Local Structural Equation Model

Some Methods for Objects of Class mcmc.list

Multidimensional IRT Copula Model

Polychoric Correlation

Estimation of the Partial Credit Model using the Eigenvector Method

User Defined Item Response Model

wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing

Equating in the Generalized Logistic Rasch Model

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

Testing the ISOP Model

Robust Linking of Item Intercepts

linking.haebara

Haebara Linking of the 2PL Model for Multiple Studies

latent.regression.em.raschtype

Latent Regression Model for the Generalized Logistic Item Response Model and the Linear Model for Normal Responses

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

Write Coda File from an Object of Class mcmc.list

Some Functions for Wrapping with the mirt Package

Maximum Likelihood Estimation of Person or Group Parameters in the Generalized Partial Credit Model

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

Assessing Model Fit and Local Dependence by Comparing Observed and Expected Item Pair Correlations

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

matrixfunctions.sirt

Some Matrix Functions

Cumulative Function for the Bivariate Normal Distribution

Computation of the Rhat Statistic from a Single MCMC Chain

plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response Model

Plot Function for Objects of Class mcmc.sirt

Pairwise Estimation Method of the Rasch Model

Estimation of the Generalized Logistic Item Response Model, Ramsay's Quotient Model, Nonparametric Item Response Model, Pseudo-Likelihood Estimation and a Missing Data Item Response Model

Probabilistic Guttman Model

Calculation of Quasi Monte Carlo Integration Points

Conversion of the Parameterization of the Partial Credit Model

Inverse Gamma Distribution in Prior Sample Size Parameterization

PROX Estimation Method for the Rasch Model

Estimation of the Rasch Model with Variational Approximation

Rater Facets Models with Item/Rater Intercepts and Slopes

scale_group_means

Scaling of Group Means and Standard Deviations

Tetrachoric Correlation Matrix

Conversion of Trait Scores \(\theta\) into True Scores \(\tau ( \theta )\)

Statistical Implicative Analysis (SIA)

sirt_eigenvalues

First Eigenvalues of a Symmetric Matrix

Multidimensional Noncompensatory, Compensatory and Partially Compensatory Item Response Model

prior_model_parse

Parsing a Prior Model

stratified.cronbach.alpha

Stratified Cronbach's Alpha

prmse.subscores.scales

Proportional Reduction of Mean Squared Error (PRMSE) for Subscale Scores

summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model

Simulation of the Rasch Model with Locally Dependent Responses

Simulate from Ramsay's Quotient Model

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

Converting a fitted TAM Object into a mirt Object

xxirt_createParTable

Create Item Response Functions and Item Parameter Table

testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model

xxirt_createThetaDistribution

Creates a User Defined Theta Distribution

Running ConQuest From Within R