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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

2,802

Version

3.11-21

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

December 9th, 2021

Functions in sirt (3.11-21)

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

Extended Bradley-Terry Model

Functions for the Beta Item Response Model

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

EAP Factor Score Estimation

Person Parameter Estimation

automatic.recode

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

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

Running ConQuest From Within R

Estimation of a NOHARM Analysis from within R

Confirmatory DETECT and polyDETECT Analysis

class.accuracy.rasch

Classification Accuracy in the Rasch Model

Dataset Big 5 from qgraph Package

Longitudinal Dataset

Nonparametric Estimation of Conditional Covariances of Item Pairs

Categorize and Decategorize Variables in a Data Frame

data.liking.science

Dataset 'Liking For Science'

C-Test Datasets

Dataset for Invariance Testing with 4 Groups

Datasets for NOHARM Analysis

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

Multilevel Datasets

data.activity.itempars

Item Parameters Cultural Activities

Datasets for Local Structural Equation Models / Moderated Factor Analysis

Dataset European Social Survey 2005

Examples with Datasets from Eid and Schmidt (2014)

Dataset Mathematics

Some Datasets from McDonald's Test Theory Book

Datasets from Borg and Staufenbiel (2007)

Dataset with Mixed Dichotomous and Polytomous Item Responses

data.pirlsmissing

Dataset from PIRLS Study with Missing Responses

data.pars1.rasch

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

Dataset PISA Reading

Datasets for Pairwise Comparisons

Dataset with Raw Item Responses

Rating Datasets

Dataset PISA Mathematics

data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia

Dataset Used in Stoyan, Pommerening and Wuensche (2018)

Item Parameters from Two PISA Studies

Dataset TIMSS Mathematics

Some Example Datasets for the sirt Package

Converting a Data Frame from Wide Format in a Long Format

Calculation of the DETECT and polyDETECT Index

equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model

Equating in the Generalized Logistic Rasch Model

Exploratory DETECT Analysis

Functional Unidimensional Item Response Model

Maximum Likelihood Estimation of the Dirichlet Distribution

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

Dataset Reading

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

Datasets from Reckase' Book Multidimensional Item Response Theory

Fitting the ISOP and ADISOP Model for Frequency Tables

Clustering for Continuous Fuzzy Data

Converting a lavaan Model into a mirt Model

latent.regression.em.raschtype

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

dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis

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

Discrete (Rasch) Grade of Membership Model

dif.strata.variance

Stratified DIF Variance

Testing the ISOP Model

Scoring Persons and Items in the ISOP Model

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

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

Fit of a \(L_q\) Regression Model

Robust Linking of Item Intercepts

greenyang.reliability

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

Grade of Membership Model (Joint Maximum Likelihood Estimation)

linking.haebara

Haebara Linking of the 2PL Model for Multiple Studies

linking.haberman

Linking in the 2PL/Generalized Partial Credit Model

md.pattern.sirt

Response Pattern in a Binary Matrix

Write Coda File from an Object of Class mcmc.list

Random Item Response Model / Multilevel IRT Model

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

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

lsem.permutationTest

Permutation Test for a Local Structural Equation Model

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

matrixfunctions.sirt

Some Matrix Functions

Computation of the Rhat Statistic from a Single MCMC Chain

Latent Class Model for Two Exchangeable Raters and One Item

Some Methods for Objects of Class mcmc.list

likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions

Local Structural Equation Models (LSEM)

Least Squares Distance Method of Cognitive Validation

mirt.specify.partable

Specify or modify a Parameter Table in mirt

Some Functions for Wrapping with the mirt Package

mcmc.3pno.testlet

3PNO Testlet Model

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

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

Item and Person Fit Statistics for the Partial Credit Model

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

Conversion of the Parameterization of the Partial Credit Model

plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response Model

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

Nonparametric Estimation of Item Response Functions

person.parameter.rasch.copula

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

NOHARM Model in R

Person Fit Statistics for the Rasch Model

nedelsky-methods

Functions for the Nedelsky Model

Probabilistic Guttman Model

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

prmse.subscores.scales

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

Polychoric Correlation

Cumulative Function for the Bivariate Normal Distribution

Plot Method for Object of Class np.dich

Plot Function for Objects of Class mcmc.sirt

parmsummary_extend

Includes Confidence Interval in Parameter Summary Table

prior_model_parse

Parsing a Prior Model

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

rasch.jml.biascorr

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

Pairwise Estimation Method of the Rasch Model

Calculation of Quasi Monte Carlo Integration Points

Estimation of the Partial Credit Model using the Eigenvector Method

Joint Maximum Likelihood (JML) Estimation 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

Multidimensional Latent Class 1PL and 2PL Model

rasch.jml.jackknife1

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

reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Dichotomous Data

Creates Group-Wise Item Response Dataset

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

Estimation of the Rasch Model with Variational Approximation

Inverse Gamma Distribution in Prior Sample Size Parameterization

Multidimensional IRT Copula Model

scale_group_means

Scaling of Group Means and Standard Deviations

Rater Facets Models with Item/Rater Intercepts and Slopes

Statistical Implicative Analysis (SIA)

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model

PROX Estimation Method for the Rasch Model

summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt

Utility Functions in sirt

Simulate from Ramsay's Quotient Model

sirt_eigenvalues

First Eigenvalues of a Symmetric Matrix

Simulate from Generalized Logistic Item Response Model

Simulation of the Rasch Model with Locally Dependent Responses

stratified.cronbach.alpha

Stratified Cronbach's Alpha

Multidimensional Noncompensatory, Compensatory and Partially Compensatory Item Response Model

Defunct sirt Functions

unidim.test.csn

Test for Unidimensionality of CSN

xxirt_createThetaDistribution

Creates a User Defined Theta Distribution

xxirt_createParTable

Create Item Response Functions and Item Parameter Table

Converting a fitted TAM Object into a mirt Object

testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model

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

Tetrachoric Correlation Matrix

wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing

User Defined Item Response Model

Weighted Likelihood Estimation of Person Abilities