We discuss the methods of Evans and Moshonov [Bayesian Analysis 1 (2006) 893–914, Bayesian Statistics and Its Applications (2007) 145–159] concerning checking for prior-data conflict and their relevance to the method proposed in this paper.
M. Evans. "Comment: Bayesian Checking of the Second Levels of Hierarchical Models." Statist. Sci. 22 (3) 344 - 348, August 2007. https://doi.org/10.1214/07-STS235C