bayesics: Core Statistical Methods via Bayesian Inference in R

Fuente: arXiv
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Hauptverfasser: Sewell, Daniel K., Arakkal, Alan T.
Format: Preprint
Veröffentlicht: 2026
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author Sewell, Daniel K.
Arakkal, Alan T.
author_facet Sewell, Daniel K.
Arakkal, Alan T.
contents Bayesian statistics is an integral part of contemporary applied science. bayesics provides a single framework, unified in syntax and output, for performing the most commonly used statistical procedures, ranging from one- and two-sample inference to general mediation analysis. bayesics leans hard away from the requirement that users be familiar with sampling algorithms by using closed-form solutions whenever possible, and automatically selecting the number of posterior samples required for accurate inference when such solutions are not possible. bayesics} focuses on providing key inferential quantities: point estimates, credible intervals, probability of direction, region of practical equivalance (ROPE), and, when applicable, Bayes factors. While algorithmic assessment is not required in bayesics, model assessment is still critical; towards that, bayesics provides diagnostic plots for parametric inference, including Bayesian p-values. Finally, bayesics provides extensions to models implemented in alternative R packages and, in the case of mediation analysis, correction to existing implementations.
format Preprint
id arxiv_https___arxiv_org_abs_2602_15150
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle bayesics: Core Statistical Methods via Bayesian Inference in R
Sewell, Daniel K.
Arakkal, Alan T.
Methodology
Computation
Bayesian statistics is an integral part of contemporary applied science. bayesics provides a single framework, unified in syntax and output, for performing the most commonly used statistical procedures, ranging from one- and two-sample inference to general mediation analysis. bayesics leans hard away from the requirement that users be familiar with sampling algorithms by using closed-form solutions whenever possible, and automatically selecting the number of posterior samples required for accurate inference when such solutions are not possible. bayesics} focuses on providing key inferential quantities: point estimates, credible intervals, probability of direction, region of practical equivalance (ROPE), and, when applicable, Bayes factors. While algorithmic assessment is not required in bayesics, model assessment is still critical; towards that, bayesics provides diagnostic plots for parametric inference, including Bayesian p-values. Finally, bayesics provides extensions to models implemented in alternative R packages and, in the case of mediation analysis, correction to existing implementations.
title bayesics: Core Statistical Methods via Bayesian Inference in R
topic Methodology
Computation
url https://arxiv.org/abs/2602.15150