A new flexible Bayesian hypothesis test for multivariate data

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dc.contributor.authorGutierrez, Ivan
dc.contributor.authorGutierrez, Luis
dc.contributor.authorAlvares, Danilo
dc.date.accessioned2025-01-20T20:16:42Z
dc.date.available2025-01-20T20:16:42Z
dc.date.issued2023
dc.description.abstractWe propose a Bayesian hypothesis testing procedure for comparing the multivariate distributions of several treatment groups against a control group. This test is derived from a flexible model for the group distributions based on a random binary vector such that, if its jth element equals one, then the jth treatment group is merged with the control group. The group distributions' flexibility comes from a dependent Dirichlet process, while the latent vector prior distribution ensures a multiplicity correction to the testing procedure. We explore the posterior consistency of the Bayes factor and provide a Monte Carlo simulation study comparing the performance of our procedure with state-of-the-art alternatives. Our results show that the presented method performs better than competing approaches. Finally, we apply our proposal to two classical experiments. The first one studies the effects of tuberculosis vaccines on multiple health outcomes for rabbits, and the second one analyzes the effects of two drugs on weight gain for rats. In both applications, we find relevant differences between the control group and at least one treatment group.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s11222-023-10214-6
dc.identifier.eissn1573-1375
dc.identifier.issn0960-3174
dc.identifier.urihttps://doi.org/10.1007/s11222-023-10214-6
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92348
dc.identifier.wosidWOS:000944019800001
dc.issue.numero2
dc.language.isoen
dc.revistaStatistics and computing
dc.rightsacceso restringido
dc.subjectDependent Dirichlet process
dc.subjectMANOVA
dc.subjectMultiple testing
dc.subjectSpike-and-slab prior
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleA new flexible Bayesian hypothesis test for multivariate data
dc.typeartículo
dc.volumen33
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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