The question of whether test factor structure is indicative of the test item hierarchy was examined. Data from 1,000 subjects on two sets of five bivalued Law School Admission Test items, which were analyzed with latent trait methods of Bock and Lieberman and of Christoffersson in Psychometrika, were analyzed with an ordering-theoretic method to locate item hierarchies. Though one item set was unifactor and the other bifactor, both item sets showed no hierarchies even after 10 percent of the subjects responsible for low response pattern frequencies were deleted. Factor structure of a test appears to reveal nothing about the test's hierarchical structure. (Author)