Abstract

RENDON-MACIAS, Mario Enrique; RIOJAS-GARZA, Alberto; CONTRERAS-ESTRADA, Daniela  and  MARTINEZ-EZQUERRO, José Darío. Bayesian analysis. Basic and practical concepts for its interpretation and use. Rev. alerg. Méx. [online]. 2018, vol.65, n.3, pp.285-298. ISSN 2448-9190.  https://doi.org/10.29262/ram.v65i3.512.

Bayesian statistics is based on subjective probability. It works with evidence updating considering the knowledge acquired prior to an investigation, plus the evidence obtained thereof. Results’ interpretation requires for the hypotheses to be tested to be specifi ed and their a priori probability to be estimated before the study. Study evidence is measured with the Bayes factor (compatibility ratio of the data under the proposed hypotheses). The conjunction of hypotheses a priori probabilities with the Bayes factor allows calculating the a posteriori probability of each one of them. The hypothesis with the highest degree of certainty at its update is the one that is accepted for decision making. In this review, three examples of hypothesis to be tested are shown: diff erence of means, correlation and association.

Keywords : Bayes statistics; Bayesian analysis; Subjective probability.