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mirt  

Multidimensional Item Response Theory
View on CRAN: Click here


Download and install mirt package within the R console
Install from CRAN:
install.packages("mirt")

Install from Github:
library("remotes")
install_github("cran/mirt")

Install by package version:
library("remotes")
install_version("mirt", "1.45.1")



Attach the package and use:
library("mirt")
Maintained by
Phil Chalmers
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2011-07-02
Latest Update: 2025-01-28
Description:
Analysis of discrete response data using unidimensional and multidimensional item analysis models under the Item Response Theory paradigm (Chalmers (2012) ). Exploratory and confirmatory item factor analysis models are estimated with quadrature (EM) or stochastic (MHRM) methods. Confirmatory bi-factor and two-tier models are available for modeling item testlets using dimension reduction EM algorithms, while multiple group analyses and mixed effects designs are included for detecting differential item, bundle, and test functioning, and for modeling item and person covariates. Finally, latent class models such as the DINA, DINO, multidimensional latent class, mixture, and zero-inflated response models are supported.
How to cite:
Phil Chalmers (2011). mirt: Multidimensional Item Response Theory. R package version 1.45.1, https://cran.r-project.org/web/packages/mirt. Accessed 07 Mar. 2026.
Previous versions and publish date:
0.1-13 (2011-07-02 19:11), 0.1-14 (2011-07-23 15:57), 0.1-15 (2011-08-08 19:47), 0.1-16 (2011-09-15 07:57), 0.1-17 (2011-10-12 09:56), 0.1-18 (2011-10-14 08:42), 0.1-19 (2011-11-24 10:13), 0.1-20 (2012-02-04 09:39), 0.2.0 (2012-02-15 09:30), 0.2.1 (2012-04-06 06:42), 0.2.3 (2012-05-02 08:10), 0.2.4 (2012-05-10 00:44), 0.2.5 (2012-06-07 08:05), 0.2.6 (2012-07-15 19:12), 0.3.0 (2012-08-23 08:05), 0.4.0 (2012-09-22 20:13), 0.4.1 (2012-10-23 18:45), 0.4.2 (2012-11-25 09:09), 0.5.0 (2013-01-17 22:21), 0.6.0 (2013-03-19 07:15), 0.7.0 (2013-04-21 07:42), 0.8.0 (2013-07-02 11:19), 0.9.0 (2013-08-31 06:06), 1.0 (2013-11-01 17:35), 1.1 (2013-12-20 08:03), 1.2.1 (2014-02-21 08:11), 1.2 (2014-02-20 21:24), 1.3 (2014-04-23 19:54), 1.4 (2014-06-22 23:46), 1.5 (2014-08-14 18:56), 1.6.1 (2014-10-10 21:56), 1.7 (2014-12-15 15:24), 1.8 (2015-01-22 22:34), 1.9 (2015-03-29 08:43), 1.10 (2015-06-16 00:34), 1.13 (2015-09-10 00:31), 1.14 (2015-11-19 23:35), 1.15 (2016-01-21 17:03), 1.16 (2016-03-07 07:59), 1.17.1 (2016-04-27 19:00), 1.17 (2016-04-27 13:31), 1.18 (2016-06-24 09:53), 1.19 (2016-08-18 23:27), 1.20.1 (2016-10-05 16:36), 1.21 (2016-12-01 08:28), 1.22 (2017-02-01 01:03), 1.23 (2017-03-02 23:54), 1.24 (2017-05-04 09:53), 1.25 (2017-07-23 19:33), 1.26.1 (2017-11-27 09:52), 1.26.3 (2017-11-30 00:53), 1.27.1 (2018-03-16 18:09), 1.28 (2018-05-20 05:37), 1.29 (2018-08-12 06:40), 1.30 (2019-01-29 10:10), 1.31 (2019-09-15 02:10), 1.32.1 (2020-04-25 16:50), 1.32 (2020-04-24 07:20), 1.33.2 (2020-10-31 21:10), 1.34 (2021-06-28 23:10), 1.35.1 (2021-12-09 00:10), 1.36.1 (2022-03-22 10:00), 1.36 (2022-03-21 16:20), 1.37.1 (2022-08-10 17:30), 1.38.1 (2023-02-28 04:52), 1.39 (2023-05-30 06:30), 1.40 (2023-08-10 17:40), 1.41 (2023-10-17 17:50), 1.42 (2024-07-14 06:30), 1.43 (2024-11-14 09:50), 1.44.0 (2025-01-28 22:50), 1.45.1 (2025-09-06 07:11)
Other packages that cited mirt R package
View mirt citation profile
Other R packages that mirt depends, imports, suggests or enhances
Complete documentation for mirt
Functions, R codes and Examples using the mirt R package
Some associated functions: Bock1997 . DIF . DRF . DTF . DiscreteClass-class . LSAT6 . LSAT7 . M2 . MDIFF . MDISC . MixedClass-class . MixtureClass-class . MultipleGroupClass-class . PLCI.mirt . RCI . RMSD_DIF . SAT12 . SIBTEST . SLF . Science . SingleGroupClass-class . anova-method . areainfo . averageMI . bfactor . boot.LR . boot.mirt . coef-method . createGroup . createItem . deAyala . draw_parameters . empirical_ES . empirical_plot . empirical_rxx . estfun.AllModelClass . expand.table . expected.item . expected.test . extract.group . extract.item . extract.mirt . fixedCalib . fixef . fscores . gen.difficulty . imputeMissing . itemGAM . itemfit . iteminfo . itemplot . itemstats . key2binary . lagrange . likert2int . logLik-method . marginal_rxx . mdirt . mirt-package . mirt.model . mirt . mirtCluster . mixedmirt . mod2values . multipleGroup . numerical_deriv . personfit . plot-method . poly2dich . print-method . print.mirt_df . print.mirt_list . print.mirt_matrix . probtrace . randef . read.mirt . remap.distance . residuals-method . show-method . simdata . summary-method . testinfo . thetaComb . traditional2mirt . vcov-method . wald . 
Some associated R codes: 00-classes.R . 01-itemclass.R . 02a-general_methods.R . 02b-item_methods.R . 03-estimation.R . 04-PrepData.R . 05-model.elements.R . 06-LoadPars.R . 07-calcLogLik.R . 08-SE.methods.R . DIF.R . DRF.R . DTF.R . Discrete-methods.R . EMstep.group.R . EMstep.utils.R . M2.R . MDIFF.R . MDISC.R . MHRM.group.R . MHRM.utils.R . Mixed-methods.R . Mixture-methods.R . MultipleGroup-methods.R . PLCI.mirt.R . RCI.R . RMSD_DIF.R . SIBTEST.R . SingleGroup-methods.R . areainfo.R . averageMI.R . bfactor.R . boot.LR.R . boot.mirt.R . createGroup.R . createItem.R . empirical_ES.R . empirical_plot.R . empirical_rxx.R . estfun.R . expand.table.R . expected.item.R . expected.test.R . extract.group.R . extract.item.R . extract.mirt.R . fixedCalib.R . fixef.R . fscores.R . fscores.internal.R . gen.difficulty.R . imputeMissing.R . interp_exterp.R . itemGAM.R . itemfit.R . iteminfo.R . itemplot.R . itemplot.internal.R . itemstats.R . key2binary.R . lagrange.R . likert2int.R . marginal_rxx.R . mdirt.R . mirt-package.R . mirt.R . mirt.model.R . mirtCluster.R . mixedmirt.R . mod2values.R . multipleGroup.R . numerical_deriv.R . personfit.R . poly2dich.R . probtrace.R . randef.R . read.mirt.R . remap.distance.R . shinyItemplot.R . simdata.R . testinfo.R . utils.R . wald.R .  Full mirt package functions and examples
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