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A quantum probability account of individual differences in causal reasoning

Mistry, P. K., Pothos, E. M. ORCID: 0000-0003-1919-387X, Vandekerckhove, J. and Trueblood, J. S. (2018). A quantum probability account of individual differences in causal reasoning. Journal of Mathematical Psychology, doi: 10.1016/j.jmp.2018.09.003

Abstract

We use quantum probability (QP) theory to investigate individual differences in causal reasoning. By analyzing data sets from Rehder (2014) on comparative judgments, and from Rehder & Waldmann (2016) on absolute judgments, we show that a QP model can both account for individual differences in causal judgments, and why these judgments sometimes violate the properties of causal Bayes nets. We implement this and previously proposed models of causal reasoning (including classical probability models) within the same hierarchical Bayesian inferential framework to provide a detailed comparison between these models, including computing Bayes factors. Analysis of the inferred parameters of the QP model illustrates how these can be interpreted in terms of putative cognitive mechanisms of causal reasoning. Additionally, we implement a latent classification mechanism that identifies subcategories of reasoners based on properties of the inferred cognitive process, rather than post hoc clustering. The QP model also provides a parsimonious explanation for aggregate behavior, which alternatively can only be explained by a mixture of multiple existing models. Investigating individual differences through the lens of a QP model reveals simple but strong alternatives to existing explanations for the dichotomies often observed in how people make causal inferences. These alternative explanations arise from the cognitive interpretation of the parameters and structure of the quantum probability model.

Publication Type: Article
Additional Information: © 2018 Elsevier . This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Publisher Keywords: individual differences; causal reasoning; quantum probability; causal graphical models; Bayesian inference
Subjects: B Philosophy. Psychology. Religion > BF Psychology
Departments: School of Arts & Social Sciences > Psychology
URI: http://openaccess.city.ac.uk/id/eprint/20381
[img] Text - Accepted Version
This document is not freely accessible until 24 October 2020 due to copyright restrictions.
Available under License Creative Commons Attribution Non-commercial No Derivatives.

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