“…However, to date little work has investigated the effect of hyperpriors on model parameters (see e.g., Kim, Cohen, Baker, Subkoviak, & Leonard, 1994). Given that the advantages of hierarchical modeling over nonhierarchical modeling have been empirically demonstrated in other areas, such as Bayesian treed models (Chipman, George, & McCulloch, 2002), fossil calibration (Heath, 2012), multiple-recapture population estimation (Clark, Ferraz, Oguge, Hays, & DiCostanzo, 2005), and Cardiovascular therapies (Kwok & Lewis, 2011), it is believed that the Bayesian estimation with hierarchical priors specified for item hyperparameters shall provide us with a better approach in modeling unidimensional item response data when appropriate prior information is not readily available and when datasets are not sufficiently large.…”