The advances in information technologies and the Internet significantly promote the prosperous growth of electronic commerce in recent years. Simply surfing the Internet allows consumers to conveniently explore endless product choices and a flood of related product information. As one of the most important sources of product information,…

Many latent traits in the human sciences have a hierarchical structure. This study aimed to develop a new class of higher order item response theory models for hierarchical latent traits that are flexible in accommodating both dichotomous and polytomous items, to estimate both item and person parameters jointly, to allow users to specify…