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tirt  

Testlet Item Response Theory
View on CRAN: Click here


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

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

Install by package version:
library("remotes")
install_version("tirt", "0.1.3")



Attach the package and use:
library("tirt")
Maintained by
Jiawei Xiong
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-02-06
Latest Update: 2026-02-06
Description:
Implementation of Testlet Item Response Theory (tirt). A light-version yet comprehensive and streamlined framework for psychometric analysis using unidimensional Item Response Theory (IRT; Baker & Kim (2004) <doi:10.1201/9781482276725>) and Testlet Response Theory (TRT; Wainer et al., (2007) <doi:10.1017/CBO9780511618765>). Designed for researchers, this package supports the estimation of item and person parameters for a wide variety of models, including binary (i.e., Rasch, 2-Parameter Logistic, 3-Parameter Logistic) and polytomous (Partial Credit Model, Generalized Partial Credit Model, Graded Response Model) formats. It also supports the estimation of Testlet models (Rasch Testlet, 2-Parameter Logistic Testlet, 3-Parameter Logistic Testlet, Bifactor, Partial Credit Model Testlet, Graded Response), allowing users to account for local item dependence in bundled items. A key feature is the specialized support for combination use and joint estimation of item response model and testlet response model in one calibration. Beyond standard estimation via Marginal Maximum Likelihood with Expectation-Maximization (EM) or Joint Maximum Likelihood, the package offers robust tools for scale linking and equating (Mean-Mean, Mean-Sigma, Stocking-Lord) to ensure comparability across mixed-format test forms. It also facilitates fixed-parameter calibration, enabling users to estimate person abilities with known item parameters or vice versa, which is essential for pre-equating studies and item bank maintenance. Comprehensive data simulation functions are included to generate synthetic datasets with complex structures, including mixed-model blocks and specific testlet effects, aiding in methodological research and study design validation. Researchers can try multiple simulation situations.
How to cite:
Jiawei Xiong (2026). tirt: Testlet Item Response Theory. R package version 0.1.3, https://cran.r-project.org/web/packages/tirt. Accessed 06 Jun. 2026.
Previous versions and publish date:
0.1.3 (2026-02-06 21:00), 0.2.0 (2026-02-14 19:40), 0.3.0 (2026-03-18 08:10)
Other packages that cited tirt R package
View tirt citation profile
Other R packages that tirt depends, imports, suggests or enhances
Complete documentation for tirt
Functions, R codes and Examples using the tirt R package
Full tirt package functions and examples
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