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Linear Ballistic Accumulator Item Response Theory Model for Multidimensional Multiple-Alternative Forced-Choice
Kyosuke Bunji1,2, Kensuke Okada1
1Graduate School of Education, The University of Tokyo.
Multivariate Behavioral Research
|March 22, 2021
Summary
This study introduces a novel model integrating multiple-alternative forced-choice (MAFC) responses and response times in psychological measurements. This approach enhances data analysis by combining cognitive processes and item response models for greater accuracy.
Area of Science:
- Psychological Measurement
- Cognitive Psychology
- Psychometrics
Background:
- Growing interest in multiple-alternative forced-choice (MAFC) for bias resistance.
- Existing models lack integration of response time data.
- Need for joint models in computer-based psychological assessments.
Purpose of the Study:
- To propose the first model combining cognitive process and MAFC item response models.
- To integrate response time information into MAFC psychological measurements.
- To develop a comprehensive tool for analyzing MAFC data.
Main Methods:
- Extension of the linear ballistic accumulator model for response time.
- Reformulation of model parameters to incorporate MAFC item responses.
- Parameter estimation using the Markov chain Monte Carlo (MCMC) algorithm.
Main Results:
- Simulation study confirmed accurate parameter recovery.
- Empirical applications demonstrated model utility.
- The proposed model effectively jointly models MAFC responses and response times.
Conclusions:
- The developed model offers a novel approach to psychological measurement.
- Joint modeling of MAFC responses and response times provides richer insights.
- This model represents a significant advancement in psychometric analysis.
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