Theoretical Framework for Bayesian Hierarchical 2PLM

In the article "Theoretical Framework for Bayesian Hierarchical Two-Parameter Logistic Item Response Models," I present a detailed theoretical discussion on extending the 2PL Item Response Theory (IRT) model through a Bayesian hierarchical framework. The paper introduces hierarchical priors on respondent abilities and item parameters, using Automatic Differentiation Variational Inference (ADVI) for scalable estimation. It emphasizes mathematical rigor in deriving the model's probabilistic structure, though it remains theoretical without empirical applications. 

For more details, refer to the original article at https://www.cogn-iq.org/doi/09.2024/37693a22159f5fa4078d