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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.

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")

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Version

Install

install.packages('sirt')

Monthly Downloads

2,917

Version

3.5-53

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

June 20th, 2019

Functions in sirt (3.5-53)

Confirmatory DETECT and polyDETECT Analysis

Dataset PISA Mathematics

Person Parameter Estimation

data.activity.itempars

Item Parameters Cultural Activities

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

Item Parameters from Two PISA Studies

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

Datasets for Local Structural Equation Models / Moderated Factor Analysis

Rating Datasets

Dataset Mathematics

Dataset with Raw Item Responses

data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia

Dataset Used in Stoyan, Pommerening and Wuensche (2018)

Nonparametric Estimation of Conditional Covariances of Item Pairs

Categorize and Decategorize Variables in a Data Frame

data.liking.science

Dataset 'Liking For Science'

dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis

Dataset Reading

Datasets from Reckase' Book Multidimensional Item Response Theory

Longitudinal Dataset

dif.strata.variance

Stratified DIF Variance

data.pars1.rasch

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

Datasets for NOHARM Analysis

Multilevel Datasets

automatic.recode

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

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

Equating in the Generalized Logistic Rasch Model

equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model

data.pirlsmissing

Dataset from PIRLS Study with Missing Responses

Maximum Likelihood Estimation of the Dirichlet Distribution

Exploratory DETECT Analysis

Discrete (Rasch) Grade of Membership Model

Scoring Persons and Items in the ISOP Model

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

EAP Factor Score Estimation

Dataset Big 5 from qgraph Package

Datasets from Borg and Staufenbiel (2007)

Estimation of a NOHARM Analysis from within R

Testing the ISOP Model

Dataset for Invariance Testing with 4 Groups

Latent Class Model for Two Exchangeable Raters and One Item

likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions

Dataset PISA Reading

Dataset with Mixed Dichotomous and Polytomous Item Responses

Fitting the ISOP and ADISOP Model for Frequency Tables

Dataset TIMSS Mathematics

Clustering for Continuous Fuzzy Data

Some Example Datasets for the sirt Package

Some Datasets from McDonald's Test Theory Book

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

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

Robust Linking of Item Intercepts

Functional Unidimensional Item Response Model

Least Squares Distance Method of Cognitive Validation

Computation of the Rhat Statistic from a Single MCMC Chain

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

linking.haebara

Haebara Linking of the 2PL Model for Multiple Studies

linking.haberman

Linking in the 2PL/Generalized Partial Credit Model

Some Functions for Wrapping with the mirt Package

mcmc.3pno.testlet

3PNO Testlet Model

latent.regression.em.raschtype

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

Converting a lavaan Model into a mirt Model

lsem.permutationTest

Permutation Test for a Local Structural Equation Model

Local Structural Equation Models (LSEM)

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

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

Datasets for Pairwise Comparisons

Some Methods for Objects of Class mcmc.list

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

matrixfunctions.sirt

Some Matrix Functions

Write Coda File from an Object of Class mcmc.list

Calculation of the DETECT and polyDETECT Index

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

Converting a Data Frame from Wide Format in a Long Format

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

Grade of Membership Model (Joint Maximum Likelihood Estimation)

Nonparametric Estimation of Item Response Functions

nedelsky-methods

Functions for the Nedelsky Model

NOHARM Model in R

Person Fit Statistics for the Rasch Model

greenyang.reliability

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

mirt.specify.partable

Specify or modify a Parameter Table in mirt

Random Item Response Model / Multilevel IRT Model

md.pattern.sirt

Response Pattern in a Binary Matrix

Plot Method for Object of Class np.dich

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

Item and Person Fit Statistics for the Partial Credit Model

Polychoric Correlation

Calculation of Quasi Monte Carlo Integration Points

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model

Conversion of the Parameterization of the Partial Credit Model

Simulation of the Rasch Model with Locally Dependent Responses

Probabilistic Guttman Model

Cumulative Function for the Bivariate Normal Distribution

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

person.parameter.rasch.copula

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

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

Joint Maximum Likelihood (JML) Estimation of the Rasch Model

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

reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Dichotomous Data

Inverse Gamma Distribution in Prior Sample Size Parameterization

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

rasch.jml.jackknife1

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

Rater Facets Models with Item/Rater Intercepts and Slopes

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

Multidimensional Latent Class 1PL and 2PL Model

rasch.jml.biascorr

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

prior_model_parse

Parsing a Prior Model

Utility Functions in sirt

Simulate from Generalized Logistic Item Response Model

xxirt_createThetaDistribution

Creates a User Defined Theta Distribution

sirt_eigenvalues

First Eigenvalues of a Symmetric Matrix

Estimation of the Partial Credit Model using the Eigenvector Method

Estimation of the Rasch Model with Variational Approximation

Multidimensional IRT Copula Model

PROX Estimation Method for the Rasch Model

prmse.subscores.scales

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

Multidimensional Noncompensatory, Compensatory and Partially Compensatory Item Response Model

stratified.cronbach.alpha

Stratified Cronbach's Alpha

Statistical Implicative Analysis (SIA)

Simulate from Ramsay's Quotient Model

parmsummary_extend

Includes Confidence Interval in Parameter Summary Table

testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model

Defunct sirt Functions

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

unidim.test.csn

Test for Unidimensionality of CSN

Weighted Likelihood Estimation of Person Abilities

wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing

Tetrachoric Correlation Matrix

User Defined Item Response Model

xxirt_createParTable

Create Item Response Functions and Item Parameter Table

plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response 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

Pairwise Estimation Method of the Rasch Model

summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt

Plot Function for Objects of Class mcmc.sirt

Converting a fitted TAM Object into a mirt Object

Extended Bradley-Terry Model

Functions for the Beta Item Response Model

Examples with Datasets from Eid and Schmidt (2014)

Dataset European Social Survey 2005

class.accuracy.rasch

Classification Accuracy in the Rasch Model

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

Running ConQuest From Within R

C-Test Datasets