Linking Error in the 2PL Model [PDF]
The two-parameter logistic (2PL) item response model is likely the most frequently applied item response model for analyzing dichotomous data. Linking errors quantify the variability in means or standard deviations due to the choice of items.
Alexander Robitzsch
doaj +3 more sources
Flexibility at the Price of Volatility: Concurrent Calibration in Multistage Tests in Practice Using a 2PL Model [PDF]
Multistage test (MST) designs promise efficient student ability estimates, an indispensable asset for individual diagnostics in high-stakes educational assessments.
Laura A. Helbling +2 more
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Pairwise Likelihood Estimation of the 2PL Model with Locally Dependent Item Responses [PDF]
The local independence assumption is crucial for the consistent estimation of item parameters in item response theory models. This article explores a pairwise likelihood estimation approach for the two-parameter logistic (2PL) model that treats the local
Alexander Robitzsch
doaj +3 more sources
The Rank-2PL IRT Models for Forced-Choice Questionnaires: Maximum Marginal Likelihood Estimation with an EM Algorithm [PDF]
The rank two-parameter logistic (Rank-2PL) item response theory models refer to a set of models applying the 2PL model in a sequential ranking process that occurs in forced-choice questionnaires. The multi-unidimensional pairwise preference with 2PL model (MUPP-2PL) is a Rank-2PL model for items with two statements.
Jianbin Fu +2 more
europepmc +5 more sources
An Introduction to the DA-T Gibbs Sampler for the Two-Parameter Logistic (2PL) Model and Beyond
The DA-T Gibbs sampler is proposed by Maris and Maris (2002) as a Bayesian estimation method for a wide variety of Item Response Theory (IRT) models.
Gunter Maris, Timo M. Bechger
doaj +2 more sources
Information Functions of Rank‐2PL Models for Forced‐Choice Questionnaires [PDF]
AbstractThis paper presents the item and test information functions of the Rank two‐parameter logistic models (Rank‐2PLM) for items with two (pair) and three (triplet) statements in forced‐choice questionnaires. The Rank‐2PLM model for pairs is the MUPP‐2PLM (Multi‐Unidimensional Pairwise Preference) and, for triplets, is the Triplet‐2PLM.
Jianbin Fu +2 more
openaire +3 more sources
A Comparison of Linking Methods for Longitudinal Designs with the 2PL Model Under Item Parameter Drift [PDF]
This study investigates the longitudinal linking of dichotomous item responses at three time points, focusing on the performance of Haberman linking, Haebara linking, Stocking-Lord linking, and concurrent calibration in the presence of item parameter drift (IPD). Two general linking approaches, joint and chain linking, are examined.
Oskar Engels +2 more
+7 more sources
Item and Test Characteristic Curves of Rank-2PL Models for Multidimensional Forced-Choice Questionnaires [PDF]
Jianbin Fu +2 more
europepmc +4 more sources
2PL Model: Compare Generalized Linear Mixed Model with Latent Variable Model based IRT framework
Fitting item response theory (IRT) models using the generalized mixed logistic regression model (GLMM) has become more popular in large-scale assessment because GLMM allows combining complicated multilevel structures (i.e., students are nested in classrooms which are nested in schools) with IRT measurement models.
Jihong Zhang, Terry Ackerman, Yurou Wang
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Investigating Measurement Invariance by Means of Parameter Instability Tests for 2PL and 3PL Models [PDF]
M-fluctuation tests are a recently proposed method for detecting differential item functioning in Rasch models. This article discusses a generalization of this method to two additional item response theory models: the two-parametric logistic model and the three-parametric logistic model with a common guessing parameter.
Debelak, Rudolf, Strobl, Carolin
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