Prior distribution

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Definition: Beliefs held by researchers about the parameters in a statistical model before further evidence is taken into account. A ‘prior’ is expressed as a probability distribution and can be determined in a number of ways (e.g., previous research, subjective assessment, principles such as maximising entropy given constraints), and is typically combined with the likelihood function using Bayes’ theorem to obtain a posterior distribution.

Related terms: Bayes Factor, Bayesian inference, Bayesian Parameter Estimation, Likelihood function, Posterior distribution

Reference:

  • van de Schoot, R., Depaoli, S., King, R., Kramer, B., Märtens, K., Tadesse, M. G., Vannucci, M., Gelman, A., Veen, D., Willemsen, J., & Yau, C. (2021). Bayesian statistics and modelling. Nature Reviews Methods Primers, 1(1), 1–26. https://doi.org/10.1038/s43586-020-00001-2

Originally drafted by: Alaa AlDoh

Reviewed by: Charlotte R. Pennington, Martin Vasilev