Bayesian analysis of experimental and observational data: a review and illustration of the BANOVA R package

Michel Wedel, Chen Dong, Anna Kopyakova

Published: 01 Sept 2024, Last Modified: 27 Feb 2026Journal of Marketing AnalyticsEveryoneRevisionsCC BY-SA 4.0
Abstract: This article provides a review of the BANOVA R package and an illustration of its uses in Marketing Analytics. The package allows users to conduct regression analyses and analysis of variance for between-subjects, within-subjects, and mixed designs, where the dependent variable follows one of a variety of continuous or discrete distribution functions and the data may have a hierarchical structure. The package uses stan as the underlying computing engine, and enables the calculation of simple effects, floodlight analysis, and mediation analysis. The R package is illustrated through a reanalysis of the observational data by Blake et al. (Psychol Sci 32:315–325, 2021) on the relationship between misogynistic tweets and domestic violence, and of the experimental data by Srna et al. (Psychol Sci 29:1942–1955, 2018) on the perception of multitasking.
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