ela3

A long format dataset containing binary and polytomous responses for demonstration.

datasets

Implementation of Testlet and Item Response Theory.
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 also offers Bayesian estimation using priors with maximum a posteriori (MAP) method for item response theory models.
It also provides functions 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.

Jiawei Xiong

tirt

Testlet Item Response Theory

Cheng Tang

Qidi Liu

ela3 function

A data frame with 2,434,185 observations and 5 variables:<ul>
<li>STUDENTID: Unique student identifier.</li>
<li>FORMID: Unique test form identifier.</li>
<li>ITEMID: Unique item identifier, where _T1 indicates trait 1 and _T2 indicates trait 2.</li>
<li>SEQ: Position of the item in a form.</li>
<li>SCORE: Dichotomously and polytomously scored item responses (0,1,2...).</li>
</ul>

ela3: Large-Scale Mixed-Format English Language Arts (ELA) Assessment Data (Form 3)

Description

Usage

Arguments

Format

Examples