Parametric boostrap and objective Bayesian testing for heteroscedastic one-way ANOVA

Abstract This article explores relationship between parametric bootstrap (PB) and objective Bayesian (OB) approaches to test equality of the factor level means (overall mean test) of heteroscedastic one-way analysis of variance (ANOVA) problem. We compared overall mean tests based on PB, OB, and OB using posterior predictive distribution approaches by simulation studies. We also proved that the PB and OB overall mean tests for one-way heteroscedastic ANOVA are asymptotically equivalent.