The HDI + ROPE decision rule is logically incoherent but we can fix it.
Alexander Etz,
Adriana F. Chávez de la Peña,
Luis Baroja
et al.
Abstract:The Bayesian highest-density interval plus region of practical equivalence (HDI + ROPE) decision rule is an increasingly common approach to testing null parameter values. The decision procedure involves a comparison between a posterior highest-density interval (HDI) and a prespecified region of practical equivalence. One then accepts or rejects the null parameter value depending on the overlap (or lack thereof) between these intervals. Here, we demonstrate, both theoretically and through examples, that this pr… Show more
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