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UIRT: Stata module to fit unidimensional Item Response Theory models

Author

Listed:
  • Bartosz Kondratek

    (Educational Research Institute)

Programming Language

Stata

Abstract

uirt is a Stata module for estimating variety of unidimensional IRT models (2PLM, 3PLM, GRM, PCM, GPCM). It features multi-group modelling, DIF analysis, item-fit analysis and generating plausible values (PVs) conditioned via latent regression. uirt implements the EM algorithm (Dempster, Laird & Rubin, 1977) in the form of marginal maximum likelihood estimation (MML) proposed by Bock & Aitkin (1981) with normal Gauss-Hermite quadrature. LR test is used for DIF testing and model based P-DIF effect size measures are provided (Wainer, 1993). Generating PVs is performed by adapting a MCMC method developed for IRT models by Patz & Junker (1999). Observed response proportions are plotted against the item characteristic curves to allow for detailed graphical item fit analysis. Two item-fit statistics are available: S-X2 by Orlando and Thissen (2000) and chi2W developed by the author (Kondratek, 2022).

Suggested Citation

  • Bartosz Kondratek, 2016. "UIRT: Stata module to fit unidimensional Item Response Theory models," Statistical Software Components S458247, Boston College Department of Economics, revised 06 Feb 2023.
    • Handle: RePEc:boc:bocode:s458247
    Note: This module should be installed from within Stata by typing "ssc install uirt". The module is made available under terms of the GPL v3 (https://www.gnu.org/licenses/gpl-3.0.txt). Windows users should not attempt to download these files with a web browser.
    as

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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt.ado
    File Function: program code
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt.sthlp
    File Function: help file
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_chi2w.ado
    File Function: program code
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_chi2w.sthlp
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_dif.ado
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_dif.sthlp
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_esf.ado
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_esf.sthlp
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_icc.ado
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_icc.sthlp
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_inf.ado
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_inf.sthlp
    File Function: help file
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_sx2.ado
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_sx2.sthlp
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_theta.ado
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    File URL: http://fmwww.bc.edu/repec/bocode/u/uirt_theta.sthlp
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