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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@leibniz-ipn.de. Please always provide a minimal dataset, necessary to demonstrate the problem, a minimal runnable code necessary to reproduce the issue, which can be run on the given dataset, and all necessary information on the used librarys, the R version, and the OS it is run on, perhaps a sessionInfo().

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

2,596

Version

4.1-15

License

GPL (>= 2)

Issues

Pull Requests

Stars

Forks

Repository

https://github.com/alexanderrobitzsch/sirt

Homepage

https://sites.google.com/view/alexander-robitzsch/software

Maintainer

Alexander Robitzsch

Last Published

February 6th, 2024

Functions in sirt (4.1-15)

Person Parameter Estimation

EAP Factor Score Estimation

Functions for the Beta Item Response Model

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

Extended Bradley-Terry Model

Running ConQuest From Within R

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

Estimation of a NOHARM Analysis from within R

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

automatic.recode

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

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

class.accuracy.rasch

Classification Accuracy in the Rasch Model

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

Categorize and Decategorize Variables in a Data Frame

Dataset Big 5 from qgraph Package

Datasets from Borg and Staufenbiel (2007)

Confirmatory DETECT and polyDETECT Analysis

Nonparametric Estimation of Conditional Covariances of Item Pairs

Examples with Datasets from Eid and Schmidt (2014)

data.activity.itempars

Item Parameters Cultural Activities

Dataset Mathematics

Dataset European Social Survey 2005

Some Datasets from McDonald's Test Theory Book

data.liking.science

Dataset 'Liking For Science'

Dataset for Invariance Testing with 4 Groups

data.pirlsmissing

Dataset from PIRLS Study with Missing Responses

Longitudinal Dataset

Datasets for Pairwise Comparisons

Dataset PISA Mathematics

Dataset with Mixed Dichotomous and Polytomous Item Responses

C-Test Datasets

Datasets for Local Structural Equation Models / Moderated Factor Analysis

Datasets for NOHARM Analysis

Item Parameters from Two PISA Studies

Multilevel Datasets

Dataset with Raw Item Responses

data.pars1.rasch

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

Calculation of the DETECT and polyDETECT Index

Converting a Data Frame from Wide Format in a Long Format

Dataset Used in Stoyan, Pommerening and Wuensche (2018)

Dataset TIMSS Mathematics

Dataset PISA Reading

dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis

Exploratory DETECT Analysis

Dataset Reading

data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia

Datasets from Reckase' Book Multidimensional Item Response Theory

Maximum Likelihood Estimation of the Dirichlet Distribution

Some Example Datasets for the sirt Package

Rating Datasets

dif.strata.variance

Stratified DIF Variance

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

Equating in the Generalized Logistic Rasch Model

Clustering for Continuous Fuzzy Data

Fitting the ISOP and ADISOP Model for Frequency Tables

Functional Unidimensional Item Response Model

Comparing Regression Parameters of Different lavaan Models Fitted to the Same Dataset

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model

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

Grade of Membership Model (Joint Maximum Likelihood Estimation)

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

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

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

greenyang.reliability

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

Discrete (Rasch) Grade of Membership Model

Scoring Persons and Items in the ISOP Model

Testing the ISOP Model

lsem.permutationTest

Permutation Test for a Local Structural Equation Model

linking.haberman

Linking in the 2PL/Generalized Partial Credit Model

linking.haebara

Haebara Linking of the 2PL Model for Multiple Studies

Robust Linking of Item Intercepts

Fit of a \(L_q\) Regression Model

Least Squares Distance Method of Cognitive Validation

Test a Local Structural Equation Model Based on Bootstrap

Local Structural Equation Models (LSEM)

Latent Class Model for Two Exchangeable Raters and One Item

likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

Some Methods for Objects of Class mcmc.list

matrixfunctions.sirt

Some Matrix Functions

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

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

Computation of the Rhat Statistic from a Single MCMC Chain

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

mcmc.3pno.testlet

3PNO Testlet Model

Write Coda File from an Object of Class mcmc.list

NOHARM Model in R

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

nedelsky-methods

Functions for the Nedelsky Model

Nonparametric Estimation of Item Response Functions

mirt.specify.partable

Specify or modify a Parameter Table in mirt

Some Functions for Wrapping with the mirt Package

Item and Person Fit Statistics for the Partial Credit Model

Conversion of the Parameterization of the Partial Credit Model

parmsummary_extend

Includes Confidence Interval in Parameter Summary Table

Random Item Response Model / Multilevel IRT Model

person.parameter.rasch.copula

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

Estimation of Multiple-Group Structural Equation Models

md.pattern.sirt

Response Pattern in a Binary Matrix

rasch.jml.biascorr

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

Person Fit Statistics for the Rasch Model

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)

Cumulative Function for the Bivariate Normal Distribution

Calculation of Quasi Monte Carlo Integration Points

Multidimensional IRT Copula Model

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

Plot Function for Objects of Class mcmc.sirt

Plot Method for Object of Class np.dich

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

Estimation of the Partial Credit Model using the Eigenvector Method

prmse.subscores.scales

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

Joint Maximum Likelihood (JML) Estimation of the Rasch Model

Probabilistic Guttman Model

plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response Model

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model

PROX Estimation Method for the Rasch Model

Creates Group-Wise Item Response Dataset

Inverse Gamma Distribution in Prior Sample Size Parameterization

Pairwise Estimation Method of the Rasch Model

Multidimensional Latent Class 1PL and 2PL 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

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

Polychoric Correlation

prior_model_parse

Parsing a Prior Model

Estimation of the Rasch Model with Variational Approximation

reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Dichotomous Data

Defunct sirt Functions

tools:::Rd_package_title("sirt")

Multidimensional Noncompensatory, Compensatory and Partially Compensatory Item Response Model

stratified.cronbach.alpha

Stratified Cronbach's Alpha

Simulation of the Rasch Model with Locally Dependent Responses

Rater Facets Models with Item/Rater Intercepts and Slopes

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

summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt

Converting a fitted TAM Object into a mirt Object

Statistical Implicative Analysis (SIA)

Simulate from Generalized Logistic Item Response Model

Simulation of a Multivariate Normal Distribution with Exact Moments

xxirt_createThetaDistribution

Creates a User Defined Theta Distribution

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

scale_group_means

Scaling of Group Means and Standard Deviations

Simulate from Ramsay's Quotient Model

Weighted Likelihood Estimation of Person Abilities

wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing

testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model

Tetrachoric Correlation Matrix

Utility Functions in sirt

sirt_eigenvalues

First Eigenvalues of a Symmetric Matrix

unidim.test.csn

Test for Unidimensionality of CSN

User Defined Item Response Model

xxirt_createParTable

Create Item Response Functions and Item Parameter Table