Definition
Bayesian analysis is a method for reasoning probabilistically about parameters of a model given some observed data. Applied to behavioral data, Bayesian analysis can be used to fit and compare models of cognition. This approach to behavioral data analysis offers a number of advantages over classical (frequentist) analysis, including a coherent representation of uncertainty, flexibility to handle complex models and missing data, and an avoidance of pathologies inherent to significance testing based on p-values.
Detailed Description
Bayesian analysis starts with the specification of a joint distribution on the data D and parameters (or hidden variables) H. This joint distribution can be broken down into two components: P(D,H) = P(D|H) P(H). The first component, P(D|H), is known as the likelihood, and the second component, P(H), is known as the prior. Given some data, we are interested in the conditional distribution, P(H|D), commonly known as the posterior; this distribution...
References
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Gershman, S.J. (2014). Behavioural Analysis, Bayesian. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_446-1
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DOI: https://doi.org/10.1007/978-1-4614-7320-6_446-1
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