A Bayesian psychophysical model for angular variables |
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Authors: | Syed Saiden Abbas Tom Heskes Onno R. Zoeter Tjeerd M.H. Dijkstra |
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Affiliation: | 1. Radboud University Nijmegen, The Netherlands;2. Xerox Research Centre Europe, 6 chemin de Maupertuis, 38240 Meylan, France |
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Abstract: | Bayesian theories of perception provide a link between observed response distributions and theoretical constructs from Bayesian decision theory. Using Bayesian psychophysics we derive response distributions for two cases, one based on a normal distribution and one on a von Mises distribution for angular variables. Interestingly, where the theoretical response distribution is always unimodal in the case of normal distributions, it can become bimodal in the angular setting in the case when prior and likelihood are about equally strong. |
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Keywords: | Bayesian decision theory Bayesian psychophysics Response distribution von Mises distribution |
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