The Full Bayesian Significance Test for the Covariance Structure Problem

摘要

The Full Bayesian Significance Test (FBST) for precise hypotheses is applied, to the covariance structure problem. The FBST is an alternative to significance tests or, equivalently, to p-values. In the FBST we compute the evidence of the precise hypothesis. This evidence is the probability of the complement of a credible set "tangent" to the sub-manifold (of the parameter space) that defines the null hypothesis. The covariance structure problem is relevant in psychology, biology, pharmacology, and many other applied sciences.