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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

2,637

Version

3.0-32

License

GPL (>= 2)

Issues

Pull Requests

Stars

Forks

Maintainer

Alexander Robitzsch

Last Published

November 22nd, 2018

Functions in sirt (3.0-32)

data.big5

Dataset Big 5 from qgraph Package
categorize

Categorize and Decategorize Variables in a Data Frame
data.noharm

Datasets for NOHARM Analysis
data.ml

Multilevel Datasets
data.pirlsmissing

Dataset from PIRLS Study with Missing Responses
data.pars1.rasch

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

Datasets from Borg and Staufenbiel (2007)
dif.variance

DIF Variance
dif.strata.variance

Stratified DIF Variance
expl.detect

Exploratory DETECT Analysis
class.accuracy.rasch

Classification Accuracy in the Rasch Model
ccov.np

Nonparametric Estimation of Conditional Covariances of Item Pairs
data.lsem

Datasets for Local Structural Equation Models / Moderated Factor Analysis
data.math

Dataset Mathematics
conf.detect

Confirmatory DETECT and polyDETECT Analysis
data.befki

BEFKI Dataset (Schroeders, Schipolowski, & Wilhelm, 2015)
automatic.recode

Automatic Method of Finding Keys in a Dataset with Raw Item Responses
data.activity.itempars

Item Parameters Cultural Activities
data.mcdonald

Some Datasets from McDonald's Test Theory Book
data.eid

Examples with Datasets from Eid and Schmidt (2014)
data.ess2005

Dataset European Social Survey 2005
data.g308

C-Test Datasets
data.ratings

Rating Datasets
data.inv4gr

Dataset for Invariance Testing with 4 Groups
data.liking.science

Dataset 'Liking For Science'
f1d.irt

Functional Unidimensional Item Response Model
data.raw1

Dataset with Raw Item Responses
data.pisaMath

Dataset PISA Mathematics
data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia
data.pisaPars

Item Parameters from Two PISA Studies
data.mixed1

Dataset with Mixed Dichotomous and Polytomous Item Responses
data.wide2long

Converting a Data Frame from Wide Format in a Long Format
data.long

Longitudinal Dataset
data.pisaRead

Dataset PISA Reading
equating.rasch

Equating in the Generalized Logistic Rasch Model
gom.jml

Grade of Membership Model (Joint Maximum Likelihood Estimation)
greenyang.reliability

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

Datasets from Reckase' Book Multidimensional Item Response Theory
data.read

Dataset Reading
detect.index

Calculation of the DETECT and polyDETECT Index
linking.haberman

Linking in the 2PL/Generalized Partial Credit Model
data.pw

Datasets for Pairwise Comparisons
data.sirt

Some Example Datasets for the sirt Package
dirichlet.mle

Maximum Likelihood Estimation of the Dirichlet Distribution
dirichlet.simul

Simulation of a Dirichlet Distributed Vectors
equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model
dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis
fuzdiscr

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

Dataset TIMSS Mathematics
lc.2raters

Latent Class Model for Two Exchangeable Raters and One Item
fit.isop

Fitting the ISOP and ADISOP Model for Frequency Tables
linking.robust

Robust Linking of Item Intercepts
likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions
eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices
gom.em

Discrete (Rasch) Grade of Membership Model
invariance.alignment

Alignment Procedure for Linking under Approximate Invariance
eigenvalues.sirt

First Eigenvalues of a Symmetric Matrix
lsdm

Least Squares Distance Method of Cognitive Validation
mle.pcm.group

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

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

Local Structural Equation Models (LSEM)
mirt.specify.partable

Specify or modify a Parameter Table in mirt
fuzcluster

Clustering for Continuous Fuzzy Data
latent.regression.em.raschtype

Latent Regression Model for the Generalized Logistic Item Response Model and the Linear Model for Normal Responses
person.parameter.rasch.copula

Person Parameter Estimation of the Rasch Copula Model (Braeken, 2011)
mcmc.2pno.ml

Random Item Response Model / Multilevel IRT Model
isop.scoring

Scoring Persons and Items in the ISOP Model
mcmc_coef

Some Methods for Objects of Class mcmc.list
mcmc_Rhat

Computation of the Rhat Statistic from a Single MCMC Chain
isop.test

Testing the ISOP Model
mcmc.2pnoh

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

Some Functions for Wrapping with the mirt Package
personfit.stat

Person Fit Statistics for the Rasch Model
lavaan2mirt

Converting a lavaan Model into a mirt Model
parmsummary_extend

Includes Confidence Interval in Parameter Summary Table
matrixfunctions.sirt

Some Matrix Functions
lsem.permutationTest

Permutation Test for a Local Structural Equation Model
isop

Fit Unidimensional ISOP and ADISOP Model to Dichotomous and Polytomous Item Responses
noharm.sirt

NOHARM Model in R
pbivnorm2

Cumulative Function for the Bivariate Normal Distribution
mcmc.2pno

MCMC Estimation of the Two-Parameter Normal Ogive Item Response Model
prmse.subscores.scales

Proportional Reduction of Mean Squared Error (PRMSE) for Subscale Scores
mcmclist2coda

Write Coda File from an Object of Class mcmc.list
marginal.truescore.reliability

True-Score Reliability for Dichotomous Data
md.pattern.sirt

Response Pattern in a Binary Matrix
prob.guttman

Probabilistic Guttman Model
mcmc.3pno.testlet

3PNO Testlet Model
qmc.nodes

Calculation of Quasi Monte Carlo Integration Points
mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object
np.dich

Nonparametric Estimation of Item Response Functions
rasch.copula2

Multidimensional IRT Copula Model
monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix
pgenlogis

Calculation of Probabilities and Moments for the Generalized Logistic Item Response Model
plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response Model
nedelsky-methods

Functions for the Nedelsky Model
rasch.evm.pcm

Estimation of the Partial Credit Model using the Eigenvector Method
rasch.jml

Joint Maximum Likelihood (JML) Estimation of the Rasch Model
rasch.pml3

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model
plot.mcmc.sirt

Plot Function for Objects of Class mcmc.sirt
plot.np.dich

Plot Method for Object of Class np.dich
rasch.prox

PROX Estimation Method for the Rasch Model
pcm.conversion

Conversion of the Parameterization of the Partial Credit Model
rasch.jml.biascorr

Bias Correction of Item Parameters for Joint Maximum Likelihood Estimation in the Rasch model
rasch.jml.jackknife1

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

Item and Person Fit Statistics for the Partial Credit Model
rasch.mirtlc

Multidimensional Latent Class 1PL and 2PL Model
rasch.mml2

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
sim.raschtype

Simulate from Generalized Logistic Item Response Model
sirt-defunct

Defunct sirt Functions
sim.qm.ramsay

Simulate from Ramsay's Quotient Model
sim.rasch.dep

Simulation of the Rasch Model with Locally Dependent Responses
testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model
tetrachoric2

Tetrachoric Correlation Matrix
polychoric2

Polychoric Correlation
rasch.va

Estimation of the Rasch Model with Variational Approximation
prior_model_parse

Parsing a Prior Model
smirt

Multidimensional Noncompensatory, Compensatory and Partially Compensatory Item Response Model
reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Dichotomous Data
stratified.cronbach.alpha

Stratified Cronbach's Alpha
rinvgamma2

Inverse Gamma Distribution in Prior Sample Size Parameterization
xxirt

User Defined Item Response Model
rasch.pairwise

Pairwise Estimation Method of the Rasch Model
xxirt_createParTable

Create Item Response Functions and Item Parameter Table
sirt-package

sirt
rm.facets

Rater Facets Models with Item/Rater Intercepts and Slopes
sirt-utilities

Utility Functions in sirt
summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt
rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items
wle.rasch

Weighted Likelihood Estimation of Person Abilities
wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing
tam2mirt

Converting a fitted TAM Object into a mirt Object
rm.sdt

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

Statistical Implicative Analysis (SIA)
truescore.irt

Conversion of Trait Scores \(\theta\) into True Scores \(\tau ( \theta )\)
unidim.test.csn

Test for Unidimensionality of CSN
xxirt_createThetaDistribution

Creates a User Defined Theta Distribution
Q3.testlet

\(Q_3\) Statistic of Yen (1984) for Testlets
Q3

Estimation of the \(Q_3\) Statistic (Yen, 1984)
R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis
R2noharm.EAP

EAP Factor Score Estimation
brm-Methods

Functions for the Beta Item Response Model
R2conquest

Running ConQuest From Within R
btm

Extended Bradley-Terry Model
IRT.mle

Person Parameter Estimation
R2noharm

Estimation of a NOHARM Analysis from within R