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Integrating SDT and IRT Models for Mixed-Format Exams
Statistical Methods and Data Analysis

Integrating SDT and IRT Models for Mixed-Format Exams

Lawrence T. DeCarlo’s recent article introduces a psychological framework for mixed-format exams, combining signal detection theory (SDT) for multiple-choice items and item response theory (IRT) for open-ended items. This fusion allows for a unified model that captures the nuances of each item type while providing insights into the underlying cognitive …

Theoretical Framework for Bayesian Hierarchical 2PLM with ADVI
Statistical Methods and Data Analysis

Theoretical Framework for Bayesian Hierarchical 2PLM with ADVI

This article discusses a Bayesian hierarchical framework for the Two-Parameter Logistic (2PL) Item Response Theory (IRT) model. By introducing hierarchical priors for both respondent abilities and item parameters, this method offers a detailed perspective on latent traits. Additionally, the use of Automatic Differentiation Variational Inference (ADVI) makes the approach scalable …