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rasch: Models and Diagnostics for Rasch Measurement Theory

Fits models within Rasch Measurement Theory, whose defining properties include sufficiency and invariance (Rasch, 1960 <ISBN:9780226705538>; Andrich and Marais, 2019 <doi:10.1007/978-981-13-7496-8>). Models include the dichotomous Rasch, partial credit, rating scale, explanatory, many-facet and extended frame of reference models. Explanatory models include the linear logistic test model (Fischer, 1973 <doi:10.1016/0001-6918(73)90003-6>) and linear partial credit model (Fischer and Ponocny, 1994 <doi:10.1007/BF02295182>). Comparative judgement models, including explanatory object models, are available for dichotomous (Andrich, 1978 <doi:10.1177/014662167800200319>) and ordered pairwise responses (Tutz, 1986 <doi:10.1016/0022-2496(86)90034-9>). Item parameters for item-response models are estimated by pairwise conditional maximum likelihood (Zwinderman, 1995 <doi:10.1177/014662169501900406>), comparative judgement parameters by maximum likelihood, and person locations by weighted likelihood (Warm, 1989 <doi:10.1007/BF02294627>). Functions cover fit, targeting, reliability, dimensionality, local dependence, differential item functioning, equating and simulation. A 'shiny' application provides a graphical interface to the analyses.

Version: 1.12.0
Imports: stats, graphics, grDevices, utils, parallel, Rcpp
LinkingTo: Rcpp
Suggests: testthat (≥ 3.0.0), shiny, bslib, DT, bsicons, htmltools, xml2, knitr, rmarkdown, eRm, sirt, psychotools, mirt, ShinyItemAnalysis, callr, WrightMap
Published: 2026-08-24
DOI: 10.32614/CRAN.package.rasch
Author: Josh McGrane [aut, cre]
Maintainer: Josh McGrane <drjoshmcgrane at gmail.com>
BugReports: https://github.com/drjoshmcgrane/rasch/issues
License: MIT + file LICENSE
URL: https://drjoshmcgrane.github.io/rasch/, https://github.com/drjoshmcgrane/rasch
NeedsCompilation: yes
Citation: rasch citation info
Materials: README, NEWS
CRAN checks: rasch results

Documentation:

Reference manual: rasch.html , rasch.pdf
Vignettes: DIF with several person factors and repeated measures (source, R code)
Explanatory Rasch models (source, R code)
The Extended Frame of Reference model (source, R code)
Many-facet Rasch measurement (source, R code)
Rasch analysis of comparative judgements (source, R code)
Simulation-based checks of Rasch diagnostics (source, R code)
A Rasch analysis workflow (source, R code)

Downloads:

Package source: rasch_1.12.0.tar.gz
Windows binaries: r-devel: rasch_1.12.0.zip, r-release: rasch_1.11.7.zip, r-oldrel: rasch_1.11.7.zip
macOS binaries: r-release (arm64): rasch_1.12.0.tgz, r-oldrel (arm64): rasch_1.12.0.tgz, r-release (x86_64): rasch_1.12.0.tgz, r-oldrel (x86_64): rasch_1.12.0.tgz
Old sources: rasch archive

Linking:

Please use the canonical form https://CRAN.R-project.org/package=rasch to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.