Computerized adaptive tests (CATs) play a crucial role in educational assessment and diagnostic screening in behavioral health.Unlike traditional linear tests that administer a fixed set of pre-assembled items, CATs adaptively tailor the test to an examinee's latent trait level based on their previous responses.We introduce a novel CAT system that builds on recent advances in Bayesian multivariate IRT.Our approach leverages direct sampling from the latent factor posterior distributions, significantly accelerating existing information-theoretic item selection methods by eliminating the need for computationally intensive Markov Chain Monte Carlo (MCMC) simulations.To address the potential suboptimality of one-step-ahead item selection rules, we also develop a double deep Q-learning algorithm that efficiently learns an optimal item-selection policy offline using a calibrated item bank.Through simulation and real-data studies, we demonstrate that our approach not only accelerates existing item selection methods but also highlights the potential of reinforcement learning in CATs.Notably, our Q-learning-based strategy consistently achieves the fastest posterior variance reduction, leading to earlier test termination.These results demonstrate the promise of combining exact posterior sampling with reinforcement learning to deliver scalable, high-precision CATs.
Li et al. (Fri,) studied this question.