sirt4.1-15 package

Supplementary Item Response Theory Models

rasch.jml.biascorr

Bias Correction of Item Parameters for Joint Maximum Likelihood Estima...

data.wide2long

Converting a Data Frame from Wide Format in a Long Format

detect.index

Calculation of the DETECT and polyDETECT Index

dif.logistic.regression

Differential Item Functioning using Logistic Regression Analysis

dif.strata.variance

Stratified DIF Variance

dif.variance

DIF Variance

automatic.recode

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

brm.sim

Functions for the Beta Item Response Model

btm

Extended Bradley-Terry Model

categorize

Categorize and Decategorize Variables in a Data Frame

ccov.np

Nonparametric Estimation of Conditional Covariances of Item Pairs

cfa_meas_inv

Estimation of a Unidimensional Factor Model under Full and Partial Mea...

class.accuracy.rasch

Classification Accuracy in the Rasch Model

conf.detect

Confirmatory DETECT and polyDETECT Analysis

data.bs

Datasets from Borg and Staufenbiel (2007)

data.lsem

Datasets for Local Structural Equation Models / Moderated Factor Analy...

data.mcdonald

Some Datasets from McDonald's Test Theory Book

data.ml

Multilevel Datasets

data.noharm

Datasets for NOHARM Analysis

data.reck

Datasets from Reckase' Book Multidimensional Item Response Theory

data.si

Some Example Datasets for the sirt Package

dirichlet.mle

Maximum Likelihood Estimation of the Dirichlet Distribution

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

dmlavaan

Comparing Regression Parameters of Different lavaan Models Fitted to t...

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

equating.rasch.jackknife

Jackknife Equating Error in Generalized Logistic Rasch Model

equating.rasch

Equating in the Generalized Logistic Rasch Model

expl.detect

Exploratory DETECT Analysis

f1d.irt

Functional Unidimensional Item Response Model

fit.isop

Fitting the ISOP and ADISOP Model for Frequency Tables

fuzcluster

Clustering for Continuous Fuzzy Data

fuzdiscr

Estimation of a Discrete Distribution for Fuzzy Data (Data in Belief F...

gom.em

Discrete (Rasch) Grade of Membership Model

gom.jml

Grade of Membership Model (Joint Maximum Likelihood Estimation)

greenyang.reliability

Reliability for Dichotomous Item Response Data Using the Method of Gre...

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

IRT.mle

Person Parameter Estimation

isop

Fit Unidimensional ISOP and ADISOP Model to Dichotomous and Polytomous...

isop.scoring

Scoring Persons and Items in the ISOP Model

isop.test

Testing the ISOP Model

latent.regression.em.raschtype

Latent Regression Model for the Generalized Logistic Item Response Mod...

lavaan2mirt

Converting a lavaan Model into a mirt Model

lc.2raters

Latent Class Model for Two Exchangeable Raters and One Item

likelihood.adjustment

Adjustment and Approximation of Individual Likelihood Functions

linking.haberman

Linking in the 2PL/Generalized Partial Credit Model

linking.haebara

Haebara Linking of the 2PL Model for Multiple Studies

linking.robust

Robust Linking of Item Intercepts

lq_fit

Fit of a LqL_q Regression Model

lsdm

Least Squares Distance Method of Cognitive Validation

lsem.estimate

Local Structural Equation Models (LSEM)

lsem.permutationTest

Permutation Test for a Local Structural Equation Model

lsem.test

Test a Local Structural Equation Model Based on Bootstrap

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

matrixfunctions.sirt

Some Matrix Functions

mcmc.2pno.ml

Random Item Response Model / Multilevel IRT Model

mcmc.2pno

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

mcmc.2pnoh

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

mcmc.3pno.testlet

3PNO Testlet Model

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

mcmc_coef

Some Methods for Objects of Class mcmc.list

mcmc_Rhat

Computation of the Rhat Statistic from a Single MCMC Chain

mcmclist2coda

Write Coda File from an Object of Class mcmc.list

md.pattern.sirt

Response Pattern in a Binary Matrix

mgsem

Estimation of Multiple-Group Structural Equation Models

mirt.specify.partable

Specify or modify a Parameter Table in mirt

mirt.wrapper

Some Functions for Wrapping with the mirt Package

mle.pcm.group

Maximum Likelihood Estimation of Person or Group Parameters in the Gen...

modelfit.sirt

Assessing Model Fit and Local Dependence by Comparing Observed and Exp...

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

nedelsky.sim

Functions for the Nedelsky Model

noharm.sirt

NOHARM Model in

np.dich

Nonparametric Estimation of Item Response Functions

parmsummary_extend

Includes Confidence Interval in Parameter Summary Table

pbivnorm2

Cumulative Function for the Bivariate Normal Distribution

pcm.conversion

Conversion of the Parameterization of the Partial Credit Model

pcm.fit

Item and Person Fit Statistics for the Partial Credit Model

person.parameter.rasch.copula

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

personfit.stat

Person Fit Statistics for the Rasch Model

pgenlogis

Calculation of Probabilities and Moments for the Generalized Logistic ...

plausible.value.imputation.raschtype

Plausible Value Imputation in Generalized Logistic Item Response Model

plot.mcmc.sirt

Plot Function for Objects of Class mcmc.sirt

plot.np.dich

Plot Method for Object of Class np.dich

polychoric2

Polychoric Correlation

prior_model_parse

Parsing a Prior Model

prmse.subscores.scales

Proportional Reduction of Mean Squared Error (PRMSE) for Subscale Scor...

prob.guttman

Probabilistic Guttman Model

Q3

Estimation of the Q3Q_3 Statistic (Yen, 1984)

Q3.testlet

Q3Q_3 Statistic of Yen (1984) for Testlets

qmc.nodes

Calculation of Quasi Monte Carlo Integration Points

R2conquest

Running ConQuest From Within

R2noharm.EAP

EAP Factor Score Estimation

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

R2noharm

Estimation of a NOHARM Analysis from within

rasch.copula

Multidimensional IRT Copula Model

rasch.evm.pcm

Estimation of the Partial Credit Model using the Eigenvector Method

rasch.jml.jackknife1

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

rasch.jml

Joint Maximum Likelihood (JML) Estimation of the Rasch Model

rasch.mirtlc

Multidimensional Latent Class 1PL and 2PL Model

rasch.mml

Estimation of the Generalized Logistic Item Response Model, Ramsay's Q...

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

rasch.pairwise

Pairwise Estimation Method of the Rasch Model

rasch.pml3

Pairwise Marginal Likelihood Estimation for the Probit Rasch Model

rasch.prox

PROX Estimation Method for the Rasch Model

rasch.va

Estimation of the Rasch Model with Variational Approximation

reliability.nonlinearSEM

Estimation of Reliability for Confirmatory Factor Analyses Based on Di...

resp_groupwise

Creates Group-Wise Item Response Dataset

rinvgamma2

Inverse Gamma Distribution in Prior Sample Size Parameterization

rm.facets

Rater Facets Models with Item/Rater Intercepts and Slopes

rm.sdt

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

rmvn

Simulation of a Multivariate Normal Distribution with Exact Moments

scale_group_means

Scaling of Group Means and Standard Deviations

sia.sirt

Statistical Implicative Analysis (SIA)

sim.qm.ramsay

Simulate from Ramsay's Quotient Model

sim.rasch.dep

Simulation of the Rasch Model with Locally Dependent Responses

sim.raschtype

Simulate from Generalized Logistic Item Response Model

sirt-defunct

Defunct sirt Functions

sirt-package

tools:::Rd_package_title("sirt")

sirt-utilities

Utility Functions in sirt

sirt_eigenvalues

First Eigenvalues of a Symmetric Matrix

smirt

Multidimensional Noncompensatory, Compensatory and Partially Compensat...

stratified.cronbach.alpha

Stratified Cronbach's Alpha

summary.mcmc.sirt

Summary Method for Objects of Class mcmc.sirt

tam2mirt

Converting a fitted TAM Object into a mirt Object

testlet.marginalized

Marginal Item Parameters from a Testlet (Bifactor) Model

tetrachoric2

Tetrachoric Correlation Matrix

truescore.irt

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

unidim.test.csn

Test for Unidimensionality of CSN

wle.rasch.jackknife

Standard Error Estimation of WLE by Jackknifing

wle.rasch

Weighted Likelihood Estimation of Person Abilities

xxirt

User Defined Item Response Model

xxirt_createParTable

Create Item Response Functions and Item Parameter Table

xxirt_createThetaDistribution

Creates a User Defined Theta Distribution

Supplementary functions for item response models aiming to complement existing R packages. The functionality includes among others multidimensional compensatory and noncompensatory IRT models (Reckase, 2009, <doi:10.1007/978-0-387-89976-3>), MCMC for hierarchical IRT models and testlet models (Fox, 2010, <doi:10.1007/978-1-4419-0742-4>), NOHARM (McDonald, 1982, <doi:10.1177/014662168200600402>), Rasch copula model (Braeken, 2011, <doi:10.1007/s11336-010-9190-4>; Schroeders, Robitzsch & Schipolowski, 2014, <doi:10.1111/jedm.12054>), faceted and hierarchical rater models (DeCarlo, Kim & Johnson, 2011, <doi:10.1111/j.1745-3984.2011.00143.x>), ordinal IRT model (ISOP; Scheiblechner, 1995, <doi:10.1007/BF02301417>), DETECT statistic (Stout, Habing, Douglas & Kim, 1996, <doi:10.1177/014662169602000403>), local structural equation modeling (LSEM; Hildebrandt, Luedtke, Robitzsch, Sommer & Wilhelm, 2016, <doi:10.1080/00273171.2016.1142856>).

  • Maintainer: Alexander Robitzsch
  • License: GPL (>= 2)
  • Last published: 2024-02-06