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Evaluation of R Packages with IRT 2PL Model

, 2018
This simulation study compares the three most popular R packages: ltm, mirt and TAM, in terms of the accuracy and precision of item parameter estimation and computational efficiency for the IRT 2PL model. Ability parameters are simulated from a normal, uniform and a skewed distribution. Response matrices are simulated and the three packages are used to
Hong, Maxwell, Cheng, Alison, Shuya Zhang   +2 more
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"Mastering IRT: Interactive Tool for Exploring 2PL, 3PL, and Rasch Models with Dynamic Visualizations"

This interactive Shiny app is ideal for educators, allowing you to explore and understand Item Response Theory (IRT) models, including 2PL, 3PL, and Rasch. Visualize Item Characteristic Curves (ICCs), item information functions, and key parameters to gain insights into how these models function and analyze educational data in real-time (in files, you ...
Amirreza Mehrabi
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Local influence analysis of the 2PL IRT model for binary responses

Journal of Statistical Computation and Simulation, 2020
Detecting influence is an important diagnostic stage in every statistical analysis. This paper examines the local influence of minor perturbations of the model and data for the two-parameter logist...
E. Tsompanaki, C. Caroni
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Investigating Confidence Intervals of Item Parameters When Some Item Parameters Take Priors in the 2PL and 3PL Models

Educational and Psychological Measurement, 2022
To reduce the chance of Heywood cases or nonconvergence in estimating the 2PL or the 3PL model in the marginal maximum likelihood with the expectation-maximization (MML-EM) estimation method, priors for the item slope parameter in the 2PL model or for the pseudo-guessing parameter in the 3PL model can be used and the marginal maximum a posteriori (MMAP)
Insu Paek, Zhongtian Lin, Robert Philip Chalmers   +2 more
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Local Equating Using the Rasch Model, the OPLM, and the 2PL IRT Model—or—What Is It Anyway if the Model Captures Everything There Is to Know About the Test Takers?

Journal of Educational Measurement, 2013
Local equating (LE) is based on Lord's criterion of equity. It defines a family of true transformations that aim at the ideal of equitable equating. van der Linden (this issue) offers a detailed discussion of common issues in observed‐score equating relative to this local approach.
González Burgos, Jorge Andrés, Von Davier, M., Von Davier, A.   +2 more
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Item Parameter Recovery of the Compensatory 2PL MIRT Model by MH-RM and MML (Poster 34)

AERA 2024
exaly   +2 more sources

Parameter Recovery and Classification Accuracy Under Conditions of Testlet Dependency: A Comparison of the Traditional 2PL, Testlet, and Bi-Factor Models

Applied Measurement in Education, 2016
ABSTRACTTestlets, or groups of related items, are commonly included in educational assessments due to their many logistical and conceptual advantages. Despite their advantages, testlets introduce complications into the theory and practice of educational measurement.
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Assessment of 2PL, 3PL and 4PL Model-Fit on the Wechsler Preschool and Primary Scale of Intelligence (WPPSI-IV) Using Item Response Theory

International Journal of Research and Innovation in Social Science
The purpose of this paper is to investigate into which of the models of item Response Theory that fits into the Wechsler Preschool and Primary Scale of Intelligence (WPPSI-IV) with a view to adapting the WPPSI-IV to measure the intelligence of Nigerian children aged approximately 7.
Adepoju, Olufemi Adetunji., Dauda, Isiaka Kayode., Lawal, Abduljaleel Kola   +2 more
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Item Parameter Estimation of 2PL IRT Model With Fixed Ability Estimates: Choice of Ability Estimation Methods and Priors on Slopes

The item parameter estimation of an item response theory (IRT) model with fixed ability estimates is useful in equating with a small sample. The current study explores the impact of three ability estimation methods (maximum likelihood estimation [MLE], maximum a posteriori [MAP], and posterior ability distribution estimation [PST]) and three priors on ...
Jianbin Fu, TsungHan Ho, Xuan Tan
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Estimation of Asymptotic Standard Errors of Bayesian Modal Item Parameter Estimators: Application to the 2PL and 3PL Models

Korean Society for Educational Evaluation
Item parameters of item response theory (IRT) models are often estimated by the Bayesian modal (BM) method, which is an extension of the marginal maximum likelihood (MML) method. The purpose of this study is to present a general method to estimate the asymptotic standard errors (SEs) of MML or BM item parameter estimators and to examine its specific ...
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