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sirt

Supplementary Item Response Theory Models

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>).

Functions (135)

IRT.mle

Person Parameter Estimation

Estimation of the Q_3 Statistic (Yen, 1984)

Q3.testlet

Q_3 Statistic of Yen (1984) for Testlets

R2conquest

Running ConQuest From Within R

R2noharm

Estimation of a NOHARM Analysis from within R

R2noharm.EAP

EAP Factor Score Estimation

R2noharm.jackknife

Jackknife Estimation of NOHARM Analysis

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

class.accuracy.rasch

Classification Accuracy in the Rasch Model

conf.detect

Confirmatory DETECT and polyDETECT Analysis

data.activity.itempars

Item Parameters Cultural Activities

data.befki

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

data.big5

Dataset Big 5 from qgraph Package

data.bs

Datasets from Borg and Staufenbiel (2007)

data.eid

Examples with Datasets from Eid and Schmidt (2014)

data.ess2005

Dataset European Social Survey 2005

data.g308

C-Test Datasets

data.inv4gr

Dataset for Invariance Testing with 4 Groups

data.liking.science

Dataset 'Liking For Science'

data.long

Longitudinal Dataset

data.lsem

Datasets for Local Structural Equation Models / Moderated Factor Analysis

data.math

Dataset Mathematics

data.mcdonald

Some Datasets from McDonald's Test Theory Book

data.mixed1

Dataset with Mixed Dichotomous and Polytomous Item Responses

data.ml

Multilevel Datasets

data.noharm

Datasets for NOHARM Analysis

data.pars1.rasch

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

data.pirlsmissing

Dataset from PIRLS Study with Missing Responses

data.pisaMath

Dataset PISA Mathematics

data.pisaPars

Item Parameters from Two PISA Studies

data.pisaRead

Dataset PISA Reading

data.pw01

Datasets for Pairwise Comparisons

data.ratings1

Rating Datasets

data.raw1

Dataset with Raw Item Responses

data.read

Dataset Reading

data.reck

Datasets from Reckase' Book Multidimensional Item Response Theory

data.si

Some Example Datasets for the sirt Package

data.timss

Dataset TIMSS Mathematics

data.timss07.G8.RUS

TIMSS 2007 Grade 8 Mathematics and Science Russia

data.trees

Dataset Used in Stoyan, Pommerening and Wuensche (2018)

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

dirichlet.mle

Maximum Likelihood Estimation of the Dirichlet Distribution

dirichlet.simul

Simulation of a Dirichlet Distributed Vectors

eigenvalues.manymatrices

Computation of Eigenvalues of Many Symmetric Matrices

equating.rasch

Equating in the Generalized Logistic Rasch Model

equating.rasch.jackknife

Jackknife Equating Error in 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 Function Framework)

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 Green and Yang (2009)

invariance.alignment

Alignment Procedure for Linking under Approximate Invariance

isop

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

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 Model and the Linear Model for Normal Responses

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 L_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

marginal.truescore.reliability

True-Score Reliability for Dichotomous Data

matrixfunctions.sirt

Some Matrix Functions

mcmc.2pno

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

mcmc.2pno.ml

Random Item Response Model / Multilevel IRT Model

mcmc.2pnoh

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

mcmc.3pno.testlet

3PNO Testlet Model

mcmc.list.descriptives

Computation of Descriptive Statistics for a mcmc.list Object

mcmc_Rhat

Computation of the Rhat Statistic from a Single MCMC Chain

mcmc_coef

Some Methods for Objects of Class mcmc.list

mcmclist2coda

Write Coda File from an Object of Class mcmc.list

md.pattern.sirt

Response Pattern in a Binary Matrix

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 Generalized Partial Credit Model

modelfit.sirt

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

monoreg.rowwise

Monotone Regression for Rows or Columns in a Matrix

nedelsky.sim

Functions for the Nedelsky Model

noharm.sirt

NOHARM Model in R

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 Item Response Model

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 Scores

prob.guttman

Probabilistic Guttman Model

qmc.nodes

Calculation of Quasi Monte Carlo Integration Points

rasch.copula

Multidimensional IRT Copula 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.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)

rasch.mirtlc

Multidimensional Latent Class 1PL and 2PL Model

rasch.mml

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

Pairwise Estimation Method of the Rasch Model

rasch.pairwise.itemcluster

Pairwise Estimation of the Rasch Model for Locally Dependent Items

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 Dichotomous Data