Bayesian hypothesis testing for selected regression coefficients

Yonggang Lu, Peter H. Westfall, Gang Han, Marilyn M. Bui

Research output: Contribution to journalArticlepeer-review

Abstract

We develop new Bayesian regression tests for prespecified regression coefficients. Simple, closed forms of the Bayes factors are derived that depend only on the regression t-statistic and F-statistic and the usual associated t and F distributions. The priors that allow those forms are simple and also meaningful, requiring minimal but practically important subjective inputs.

Original languageEnglish
Pages (from-to)7011-7026
Number of pages16
JournalCommunications in Statistics - Theory and Methods
Volume45
Issue number23
DOIs
StatePublished - Dec 1 2016

Keywords

  • Bayes factor
  • Frequentist test statistic
  • Informative prior
  • Regression coefficient
  • Sensitivity analysis

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