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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.

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")

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Version

Install

install.packages('sirt')

Monthly Downloads

2,802

Version

3.4-64

License

GPL (>= 2)

Issues

Pull Requests

Stars

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Repository

https://github.com/alexanderrobitzsch/sirt

Homepage

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

Maintainer

Alexander Robitzsch

Last Published

May 3rd, 2019

Functions in sirt (3.4-64)

Equating in the Generalized Logistic Rasch Model

Multilevel Datasets

Dataset Mathematics

class.accuracy.rasch

Classification Accuracy in the Rasch Model

parmsummary_extend

Includes Confidence Interval in Parameter Summary Table

Write Coda File from an Object of Class mcmc.list

EAP Factor Score Estimation

Functions for the Beta Item Response Model

prior_model_parse

Parsing a Prior Model

Confirmatory DETECT and polyDETECT Analysis

Dataset European Social Survey 2005

Extended Bradley-Terry Model

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

Exploratory DETECT Analysis

mcmc.3pno.testlet

3PNO Testlet Model

C-Test Datasets

Dataset with Mixed Dichotomous and Polytomous Item Responses

Local Structural Equation Models (LSEM)

nedelsky-methods

Functions for the Nedelsky Model

Some Datasets from McDonald's Test Theory Book

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

data.liking.science

Dataset 'Liking For Science'

Datasets for Pairwise Comparisons

Datasets for NOHARM Analysis

Random Item Response Model / Multilevel IRT Model

dif.strata.variance

Stratified DIF Variance

Clustering for Continuous Fuzzy Data

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

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

Testing the ISOP Model

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

Scoring Persons and Items in the ISOP Model

Dataset Reading

Datasets from Reckase' Book Multidimensional Item Response Theory

Converting a fitted TAM Object into a mirt Object

Examples with Datasets from Eid and Schmidt (2014)

data.pirlsmissing

Dataset from PIRLS Study with Missing Responses

Dataset for Invariance Testing with 4 Groups

latent.regression.em.raschtype

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

Person Parameter Estimation

Plot Method for Object of Class np.dich

Defunct sirt Functions

Calculation of the DETECT and polyDETECT Index

Dataset Big 5 from qgraph Package

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

data.pars1.rasch

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

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

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

Dataset TIMSS Mathematics

dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis

person.parameter.rasch.copula

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

Discrete (Rasch) Grade of Membership Model

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

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

Estimation of a NOHARM Analysis from within R

Some Example Datasets for the sirt Package

Running ConQuest From Within R

Computation of the Rhat Statistic from a Single MCMC Chain

Dataset PISA Reading

automatic.recode

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

Nonparametric Estimation of Conditional Covariances of Item Pairs

Categorize and Decategorize Variables in a Data Frame

Rating Datasets

Conversion of the Parameterization of the Partial Credit Model

NOHARM Model in R

testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model

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

rasch.jml.biascorr

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

Maximum Likelihood Estimation of the Dirichlet Distribution

Datasets for Local Structural Equation Models / Moderated Factor Analysis

likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions

Polychoric Correlation

matrixfunctions.sirt

Some Matrix Functions

Dataset PISA Mathematics

linking.haebara

Haebara Linking of the 2PL Model for Multiple Studies

Datasets from Borg and Staufenbiel (2007)

Dataset with Raw Item Responses

Tetrachoric Correlation Matrix

equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model

data.activity.itempars

Item Parameters Cultural Activities

linking.haberman

Linking in the 2PL/Generalized Partial Credit Model

Least Squares Distance Method of Cognitive Validation

Grade of Membership Model (Joint Maximum Likelihood Estimation)

Multidimensional Latent Class 1PL and 2PL Model

Cumulative Function for the Bivariate Normal Distribution

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

rasch.jml.jackknife1

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

md.pattern.sirt

Response Pattern in a Binary Matrix

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

Statistical Implicative Analysis (SIA)

xxirt_createParTable

Create Item Response Functions and Item Parameter Table

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

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

Converting a Data Frame from Wide Format in a Long Format

Longitudinal Dataset

Simulate from Generalized Logistic Item Response Model

mirt.specify.partable

Specify or modify a Parameter Table in mirt

Plot Function for Objects of Class mcmc.sirt

greenyang.reliability

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

xxirt_createThetaDistribution

Creates a User Defined Theta Distribution

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

sirt_eigenvalues

First Eigenvalues of a Symmetric Matrix

Item Parameters from Two PISA Studies

Functional Unidimensional Item Response Model

Nonparametric Estimation of Item Response Functions

Estimation of the Partial Credit Model using the Eigenvector Method

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

Item and Person Fit Statistics for the Partial Credit Model

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

Some Methods for Objects of Class mcmc.list

plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response Model

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

Fitting the ISOP and ADISOP Model for Frequency Tables

Rater Facets Models with Item/Rater Intercepts and Slopes

data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia

Latent Class Model for Two Exchangeable Raters and One Item

Joint Maximum Likelihood (JML) Estimation of the Rasch Model

Person Fit Statistics for 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

Robust Linking of Item Intercepts

Inverse Gamma Distribution in Prior Sample Size Parameterization

Estimation of the Rasch Model with Variational Approximation

Multidimensional IRT Copula Model

Weighted Likelihood Estimation of Person Abilities

Converting a lavaan Model into a mirt Model

summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt

Calculation of Quasi Monte Carlo Integration Points

stratified.cronbach.alpha

Stratified Cronbach's Alpha

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model

PROX Estimation Method for the Rasch Model

lsem.permutationTest

Permutation Test for a Local Structural Equation Model

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

Multidimensional Noncompensatory, Compensatory and Partially Compensatory Item Response Model

Probabilistic Guttman Model

reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Dichotomous Data

Some Functions for Wrapping with the mirt Package

wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing

prmse.subscores.scales

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

Pairwise Estimation Method of the Rasch Model

Simulate from Ramsay's Quotient Model

User Defined Item Response Model

unidim.test.csn

Test for Unidimensionality of CSN

Simulation of the Rasch Model with Locally Dependent Responses

Utility Functions in sirt