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Psychometrics: The Science of Psychological Measurement
Psychological Measurement and Testing

Psychometrics: The Science of Psychological Measurement

Psychometrics, a specialized branch within psychology, is dedicated to the theory and methodology of psychological measurement. This discipline encompasses the development and refinement of testing instruments, measurement techniques, and assessment procedures aimed at quantifying latent psychological constructs—attributes not directly observable but inferable through systematic analysis. Such constructs include intelligence, personality …

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 …

Rotation Local Solutions in Multidimensional Item Response Models
Statistical Methods and Data Analysis

Rotation Local Solutions in Multidimensional Item Response Models

Nguyen and Waller’s (2024) study provides an in-depth analysis of factor-rotation local solutions (LS) within multidimensional, two-parameter logistic (M2PL) item response models. Through an extensive Monte Carlo simulation, the research evaluates how different factors influence rotation algorithms’ performance, contributing to a deeper understanding of multidimensional psychometric models. Background The study …

Group-Theoretical Symmetries in Item Response Theory (IRT)
Statistical Methods and Data Analysis

Group-Theoretical Symmetries in Item Response Theory (IRT)

Item Response Theory (IRT) is a widely adopted framework in psychological and educational assessments, used to model the relationship between latent traits and observed responses. This recent work introduces an innovative approach that incorporates group-theoretic symmetry constraints, offering a refined methodology for estimating IRT parameters with greater precision and efficiency. …

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 …

Simulated IRT Dataset Generator
Technological Advances in Psychology

Simulated IRT Dataset Generator v1.00 at Cogn-IQ.org

The Dataset Generator available at Cogn-IQ.org is a powerful resource designed for researchers and practitioners working with Item Response Theory (IRT). This tool simulates datasets tailored for psychometric analysis, enabling users to explore a range of testing scenarios with customizable item and subject characteristics. It supports the widely used 2-Parameter …

Optimizing Item Parameter Estimation for the Generalized Graded Unfolding Model
Statistical Methods and Data Analysis

Optimizing Item Parameter Estimation for the Generalized Graded Unfolding Model

Roberts and Thompson (2011) conducted a thorough analysis of item parameter estimation methods within the Generalized Graded Unfolding Model (GGUM). Their work focused on the performance of the Marginal Maximum A Posteriori (MMAP) procedure compared to other approaches, including Marginal Maximum Likelihood (MML) and Markov Chain Monte Carlo (MCMC). By …