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A Two-interval Forced-choice Task for Multisensory Comparisons

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Response moderation models for conditional dependence between response time and response accuracy.

Maria Bolsinova¹, Jesper Tijmstra², Dylan Molenaar¹

¹University of Amsterdam, The Netherlands.

The British Journal of Mathematical and Statistical Psychology

|September 13, 2016

Summary

This summary is machine-generated.

New hierarchical models jointly analyze response accuracy and time in psychometric tests. These models account for conditional dependence, offering more accurate measurement insights.

Keywords:

conditional independence hierarchical model moderation effect residual dependence response times

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Area of Science:

Psychometrics
Cognitive Psychology
Educational Measurement

Background:

Response times are increasingly registered in psychometric testing, enabling joint modeling with accuracy.
The standard hierarchical model assumes conditional independence between response time and accuracy, which may not hold in practice.
Violations occur due to individual differences in speed variation and response strategies, potentially confounding measurements.

Purpose of the Study:

To propose six nested hierarchical models that accommodate conditional dependence between response time and accuracy.
To extend existing approaches by allowing for various forms of conditional dependence.
To enable item-specific or person-specific modeling of residual response time's effect on accuracy.

Main Methods:

Development of six novel hierarchical models for joint response time and accuracy analysis.
Proposal of estimation procedures for the new models.
Introduction of two information criteria for model selection.

Main Results:

Simulations demonstrate that the proposed procedures perform well in parameter recovery.
The information criteria effectively select the appropriate model.
Empirical applications illustrate the practical utility of the models in capturing conditional dependence.

Conclusions:

The proposed hierarchical models offer a flexible framework for analyzing response time and accuracy data.
These models address limitations of existing methods by allowing for conditional dependence.
The developed procedures and criteria facilitate robust measurement and model selection in psychometric research.