ArticlePsychometrika2016
Revisiting the 4-Parameter Item Response Model: Bayesian Estimation and Application.
Article in Psychometrika, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 22 papers.
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22 citing papers in PubMed.
- The No-U-Turn sampler and its mixture-modeling revision for the 4-parameter normal ogive model.Frontiers in psychology · 2026Article
- Joint Item Response Models for Manual and Automatic Scores on Open-Ended Test Items.Psychometrika · 2025Article
- Parsimonious item response theory modeling with the cauchit link: Revisiting the rationale of the four-parameter logistic model.Behavior research methods · 2025Article
- Exploratory General-Response Cognitive Diagnostic Models with Higher-Order Structures.Psychometrika · 2025Article
- Optimizing Large-Scale Educational Assessment with a "Divide-and-Conquer" Strategy: Fast and Efficient Distributed Bayesian Inference in IRT Models.Psychometrika · 2024Article
- On the Identifiability of 3- and 4-Parameter Item Response Theory Models From the Perspective of Knowledge Space Theory.Psychometrika · 2024Article
- A Mixed Stochastic Approximation EM (MSAEM) Algorithm for the Estimation of the Four-Parameter Normal Ogive Model.Psychometrika · 2023Article
- Score-based measurement invariance checks for Bayesian maximum-a-posteriori estimates in item response theory.The British journal of mathematical and statistical psychology · 2022Article
- A stochastic approximation expectation maximization algorithm for estimating Ramsay-curve three-parameter normal ogive model with non-normal latent trait distributions.Frontiers in psychology · 2022Article
- Bayesian Modal Estimation for the One-Parameter Logistic Ability-Based Guessing (1PL-AG) Model.Applied psychological measurement · 2021Article
- A Restricted Four-Parameter IRT Model: The Dyad Four-Parameter Normal Ogive (Dyad-4PNO) Model.Psychometrika · 2020Article
- Analysing Standard Progressive Matrices (SPM-LS) with Bayesian Item Response Models.Journal of Intelligence · 2020Article
- Gibbs-Slice Sampling Algorithm for Estimating the Four-Parameter Logistic Model.Frontiers in psychology · 2020Article
- Bayesian Estimation of the DINA Model With Pólya-Gamma Gibbs Sampling.Frontiers in psychology · 2020Article
- An Exploratory Diagnostic Model for Ordinal Responses with Binary Attributes: Identifiability and Estimation.Psychometrika · 2019Article
- Estimating the Cognitive Diagnosis [Formula: see text] Matrix with Expert Knowledge: Application to the Fraction-Subtraction Dataset.Psychometrika · 2019Article
- The Bayesian Expectation-Maximization-Maximization for the 3PLM.Frontiers in psychology · 2019Article
- Sources of Error in IRT Trait Estimation.Applied psychological measurement · 2018Article
- Expectation-Maximization-Maximization: A Feasible MLE Algorithm for the Three-Parameter Logistic Model Based on a Mixture Modeling Reformulation.Frontiers in psychology · 2017Article
- A novel method for expediting the development of patient-reported outcome measures and an evaluation across several populations.Applied psychological measurement · 2016Article
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Abstract
There has been renewed interest in Barton and Lord's (An upper asymptote for the three-parameter logistic item response model (Tech. Rep. No. 80-20). Educational Testing Service, 1981) four-parameter item response model. This paper presents a Bayesian formulation that extends Béguin and Glas (MCMC estimation and some model fit analysis of multidimensional IRT models. Psychometrika, 66 (4):541-561, 2001) and proposes a model for the four-parameter normal ogive (4PNO) model. Monte Carlo evidence is presented concerning the accuracy of parameter recovery. The simulation results support the use of less informative uniform priors for the lower and upper asymptotes, which is an advantage to prior research. Monte Carlo results provide some support for using the deviance information criterion and [Formula: see text] index to choose among models with two, three, and four parameters. The 4PNO is applied to 7491 adolescents' responses to a bullying scale collected under the 2005-2006 Health Behavior in School-Aged Children study. The results support the value of the 4PNO to estimate lower and upper asymptotes in large-scale surveys.
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