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September 3, 2026Transactions of the Japanese Society for Artificial IntelligenceOpen Access

Joint Model of a Zero-One Inflated Continuous Item Response Theory Model and a Lognormal Response Time Model for Ability Measurement Using Bounded Continuous Responses and Response Times

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Authors

MUMasaki UtoTGTeruyoshi Goto

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Overview

Statistical modeling reveals improved ability measurement reliability in computer-based testing, indicating that auxiliary response times enhance short tests.

Key Points

  • To develop a joint item response theory model that leverages bounded continuous scores and response times simultaneously to improve ability estimation reliability.
  • Integrated a zero-one-inflated beta continuous-response model with a lognormal response-time model through correlated latent traits for ability and speed.
  • Evaluated model estimation precision and reliability using both simulation experiments and an empirical real-data application.
  • Demonstrated consistent reliability gains over continuous item response models without timing data and joint response-time models relying on discretized responses.
  • Yielded the largest reliability improvements when latent traits for ability and response speed were highly correlated.

Cite This Study

Uto et al. (2026) studied this question.

synapsesocial.com/papers/6a9934ea636c6408cfa7c9fdhttps://doi.org/10.1527/tjsai.41-5_lf26-n
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A Comparative Study of Item Response Theory Models for Mixed Discrete-Continuous Responses2024 · 2 citations
  2. 2Bayesian Joint Modeling of Response Times with Dynamic Latent Ability in Educational Testing2025
  3. 3A Unified Framework for Jointly modelling Response Times and Item Position Effects in Computer-Based Learning Assessments2026
  4. 4Development and application of graded response model incorporating response times2026
  5. 5A continuous item response model using a censored normal distribution2026