mirt: Multidimensional Item Response Theory

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Analysis of dichotomous and polytomous response data using unidimensional and multidimensional latent trait models under the Item Response Theory paradigm. Exploratory and confirmatory models can be estimated with quadrature (EM) or stochastic (MHRM) methods. Confirmatory bi-factor and two-tier analyses are available for modeling item testlets. Multiple group analysis and mixed effects designs also are available for detecting differential item and test functioning as well as modelling item and person covariates. Finally, latent class models such as the DINA, DINO, multidimensional latent class, and several other discrete latent variable models are supported.

Author
Phil Chalmers [aut, cre, cph], Joshua Pritikin [ctb], Alexander Robitzsch [ctb], Mateusz Zoltak [ctb], KwonHyun Kim [ctb], Carl F. Falk [ctb], Adam Meade [ctb]
Date of publication
2016-12-01 08:28:34
Maintainer
Phil Chalmers <rphilip.chalmers@gmail.com>
License
GPL (>= 3)
Version
1.21
URLs

View on CRAN

Man pages

anova-method
Compare nested models with likelihood-based statistics
areainfo
Function to calculate the area under a selection of...
averageMI
Collapse values from multiple imputation draws
bfactor
Full-Information Item Bi-factor and Two-Tier Analysis
Bock1997
Description of Bock 1997 data
boot.LR
Parametric bootstrap likleihood-ratio test
boot.mirt
Calculate bootstrapped standard errors for estimated models
coef-method
Extract raw coefs from model object
createGroup
Create a user defined group-level object with correct generic...
createItem
Create a user defined item with correct generic functions
deAyala
Description of deAyala data
DIF
Differential item functioning statistics
DiscreteClass-class
Class "DiscreteClass"
DTF
Differential test functioning statistics
empirical_ES
Empirical effect sizes based on latent trait estimates
empirical_plot
Function to generate empirical unidimensional item and test...
empirical_rxx
Function to calculate the empirical (marginal) reliability
expand.table
Expand summary table of patterns and frequencies
expected.item
Function to calculate expected value of item
expected.test
Function to calculate expected test score
extract.group
Extract a group from a multiple group mirt object
extract.item
Extract an item object from mirt objects
extract.mirt
Extract various elements from estimated model objects
fixef
Compute latent regression fixed effect expected values
fscores
Compute factor score estimates (a.k.a, ability estimates,...
imputeMissing
Imputing plausible data for missing values
itemfit
Item fit statistics
itemGAM
Parametric smoothed regression lines for item response...
iteminfo
Function to calculate item information
itemplot
Displays item surface and information plots
key2binary
Score a test by converting response patterns to binary data
lagrange
Lagrange test for freeing parameters
logLik-method
Extract log-likelihood
LSAT6
Description of LSAT6 data
LSAT7
Description of LSAT7 data
M2
Compute the M2 model fit statistic
marginal_rxx
Function to calculate the marginal reliability
MDIFF
Compute multidimensional difficulty index
mdirt
Multidimensional discrete item response theory
MDISC
Compute multidimensional discrimination index
mirt
Full-Information Item Factor Analysis (Multidimensional Item...
mirtCluster
Define a parallel cluster object to be used in internal...
mirt.model
Specify model loadings
mirt-package
Full information maximum likelihood estimation of IRT models.
MixedClass-class
Class "MixedClass"
mixedmirt
Mixed effects modeling for MIRT models
mod2values
Convert an estimated mirt model to a data.frame
multipleGroup
Multiple Group Estimation
MultipleGroupClass-class
Class "MultipleGroupClass"
numerical_deriv
Compute numerical derivatives
personfit
Person fit statistics
PLCI.mirt
Compute profiled-likelihood (or posterior) confidence...
plot-method
Plot various test-implied functions from models
poly2dich
Change polytomous items to dichotomous item format
print-method
Print the model objects
probtrace
Function to calculate probability trace lines
randef
Compute posterior estimates of random effect
residuals-method
Compute model residuals
SAT12
Description of SAT12 data
Science
Description of Science data
show-method
Show model object
SIBTEST
Simultaneous Item Bias Test (SIBTEST)
simdata
Simulate response patterns
SingleGroupClass-class
Class "SingleGroupClass"
summary-method
Summary of model object
testinfo
Function to calculate test information
vcov-method
Extract parameter variance covariance matrix
wald
Wald statistics for mirt models

Files in this package

mirt
mirt/inst
mirt/inst/CITATION
mirt/inst/doc
mirt/inst/doc/mirt-vignettes.html
mirt/inst/doc/mirt-vignettes.Rmd
mirt/tests
mirt/tests/tests
mirt/tests/tests/test-13-grsmIRT.R
mirt/tests/tests/test-11-discrete.R
mirt/tests/tests/test-00-basics.R
mirt/tests/tests/test-12-gpcm_mats.R
mirt/tests/tests/test-09-mirt.model.R
mirt/tests/tests/test-06-confmirtTwo.R
mirt/tests/tests/test-04-multipleGroup.R
mirt/tests/tests/test-01-mirtOne.R
mirt/tests/tests/test-10-extras.R
mirt/tests/tests/test-07-mixedmirt.R
mirt/tests/tests/test-05-confmirtOne.R
mirt/tests/tests/test-08-createItem.R
mirt/tests/tests/test-02-mirtTwo.R
mirt/tests/tests/test-03-bfactor.R
mirt/tests/extratests
mirt/tests/extratests/test-01-largeData.R
mirt/tests/extratests/test-02-wideData.R
mirt/tests/extratests/mplus
mirt/tests/extratests/mplus/mplus2Dim.R
mirt/tests/extratests/mplus/mplusFunctions.R
mirt/tests/extratests/mplus/mplusSparse.R
mirt/tests/extratests/mplus/mplusComplete.R
mirt/src
mirt/src/Makevars
mirt/src/dpars.cpp
mirt/src/Misc.h
mirt/src/Misc.cpp
mirt/src/traceLinePts.cpp
mirt/src/Estep.cpp
mirt/src/Makevars.win
mirt/src/Estep.h
mirt/src/traceLinePts.h
mirt/NAMESPACE
mirt/NEWS.md
mirt/data
mirt/data/deAyala.RData
mirt/data/Bock1997.RData
mirt/data/Science.RData
mirt/data/LSAT7.RData
mirt/data/SAT12.RData
mirt/data/LSAT6.RData
mirt/R
mirt/R/poly2dich.R
mirt/R/EMstep.utils.R
mirt/R/M2.R
mirt/R/extract.group.R
mirt/R/PLCI.mirt.R
mirt/R/personfit.R
mirt/R/EMstep.group.R
mirt/R/utils.R
mirt/R/LoadPars.R
mirt/R/boot.LR.R
mirt/R/MDIFF.R
mirt/R/SingleGroup-methods.R
mirt/R/PrepData.R
mirt/R/MDISC.R
mirt/R/mdirt.R
mirt/R/probtrace.R
mirt/R/00-classes.R
mirt/R/expand.table.R
mirt/R/createItem.R
mirt/R/SE.methods.R
mirt/R/itemplot.R
mirt/R/simdata.R
mirt/R/empirical_ES.R
mirt/R/fscores.R
mirt/R/multipleGroup.R
mirt/R/averageMI.R
mirt/R/itemfit.R
mirt/R/DTF.R
mirt/R/02-item_methods.R
mirt/R/expected.test.R
mirt/R/MHRM.group.R
mirt/R/bfactor.R
mirt/R/mirt-package.R
mirt/R/Mixed-methods.R
mirt/R/shinyItemplot.R
mirt/R/iteminfo.R
mirt/R/model.elements.R
mirt/R/MultipleGroup-methods.R
mirt/R/itemplot.internal.R
mirt/R/key2binary.R
mirt/R/mirtCluster.R
mirt/R/randef.R
mirt/R/mixedmirt.R
mirt/R/marginal_rxx.R
mirt/R/extract.mirt.R
mirt/R/areainfo.R
mirt/R/mod2values.R
mirt/R/extract.item.R
mirt/R/DIF.R
mirt/R/wald.R
mirt/R/fscores.internal.R
mirt/R/expected.item.R
mirt/R/01-itemclass.R
mirt/R/calcLogLik.R
mirt/R/SIBTEST.R
mirt/R/Discrete-methods.R
mirt/R/imputeMissing.R
mirt/R/empirical_rxx.R
mirt/R/mirt.model.R
mirt/R/fixef.R
mirt/R/itemGAM.R
mirt/R/mirt.R
mirt/R/03-estimation.R
mirt/R/boot.mirt.R
mirt/R/testinfo.R
mirt/R/createGroup.R
mirt/R/empirical_plot.R
mirt/R/lagrange.R
mirt/vignettes
mirt/vignettes/mirt-vignettes.Rmd
mirt/README.md
mirt/MD5
mirt/build
mirt/build/vignette.rds
mirt/DESCRIPTION
mirt/man
mirt/man/MDIFF.Rd
mirt/man/extract.mirt.Rd
mirt/man/averageMI.Rd
mirt/man/areainfo.Rd
mirt/man/expected.test.Rd
mirt/man/itemfit.Rd
mirt/man/expand.table.Rd
mirt/man/fscores.Rd
mirt/man/iteminfo.Rd
mirt/man/mirt.Rd
mirt/man/DTF.Rd
mirt/man/PLCI.mirt.Rd
mirt/man/key2binary.Rd
mirt/man/deAyala.Rd
mirt/man/extract.group.Rd
mirt/man/MDISC.Rd
mirt/man/logLik-method.Rd
mirt/man/mod2values.Rd
mirt/man/poly2dich.Rd
mirt/man/mirtCluster.Rd
mirt/man/probtrace.Rd
mirt/man/mixedmirt.Rd
mirt/man/SIBTEST.Rd
mirt/man/empirical_ES.Rd
mirt/man/residuals-method.Rd
mirt/man/summary-method.Rd
mirt/man/lagrange.Rd
mirt/man/mirt.model.Rd
mirt/man/expected.item.Rd
mirt/man/SingleGroupClass-class.Rd
mirt/man/LSAT6.Rd
mirt/man/imputeMissing.Rd
mirt/man/DIF.Rd
mirt/man/show-method.Rd
mirt/man/mirt-package.Rd
mirt/man/boot.mirt.Rd
mirt/man/DiscreteClass-class.Rd
mirt/man/extract.item.Rd
mirt/man/vcov-method.Rd
mirt/man/wald.Rd
mirt/man/LSAT7.Rd
mirt/man/itemplot.Rd
mirt/man/simdata.Rd
mirt/man/createGroup.Rd
mirt/man/coef-method.Rd
mirt/man/personfit.Rd
mirt/man/plot-method.Rd
mirt/man/multipleGroup.Rd
mirt/man/createItem.Rd
mirt/man/bfactor.Rd
mirt/man/Science.Rd
mirt/man/MixedClass-class.Rd
mirt/man/marginal_rxx.Rd
mirt/man/itemGAM.Rd
mirt/man/mdirt.Rd
mirt/man/anova-method.Rd
mirt/man/numerical_deriv.Rd
mirt/man/print-method.Rd
mirt/man/fixef.Rd
mirt/man/Bock1997.Rd
mirt/man/empirical_rxx.Rd
mirt/man/empirical_plot.Rd
mirt/man/SAT12.Rd
mirt/man/testinfo.Rd
mirt/man/randef.Rd
mirt/man/M2.Rd
mirt/man/MultipleGroupClass-class.Rd
mirt/man/boot.LR.Rd