Response time can be formally incorporated into signal detection theory
Response time can indeed be formally incorporated into signal detection theory, as demonstrated by recent psychometric models that combine signal detection frameworks with response time distributions.
Papers [0] and [1] explicitly detail mathematical and statistical methods for combining signal detection theory with response time data, supporting the claim directly. The remaining papers are tangential or unrelated to this specific psychometric methodology.
Lawrence T. DeCarlo. On Joining a Signal Detection Choice Model with Response Time Models. 2021. https://doi.org/10.1111/jedm.12300
This study demonstrates how to formally incorporate response time models into a signal detection choice model using a hierarchical structure and mixture distributions.
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Sun-Joo Cho, Sarah Brown-Schmidt, De Boeck Paul, Matthew Naveiras, Si On Yoon, Aaron Benjamin. Incorporating Functional Response Time Effects into a Signal Detection Theory Model. 2023. https://doi.org/10.1007/s11336-023-09906-9
This paper extends signal detection theory models to formally incorporate functional response time effects across trials, participants, and items using generalized linear mixed-effects models.
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