Categorical data become increasingly ubiquitous in the modern big data era. In this dissertation, we propose novel statistical learning and inference methods for large-scale categorical data, focusing on latent variable models and their applications to psychometrics. In psychometric assessments, the subjects' underlying aptitude often cannot be…

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. This compendium, one of a series, details the results of a survey of high school…

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. This compendium, one of a series, details the results of a survey of high school…

The National Assessment of Educational Progress (NAEP) collects data in the form of repeated, discrete measures (test items) with hierarchical structure for both measures and subjects, that is complex by any standard. This complexity has been managed through a "divide and conquer" approach of isolating and evaluating sources of…

This paper discussed methods currently under study for use with multiple-response data. Besides using Bonferroni inequality methods to control type one error rate over a set of inferences involving multiple response data, a recently proposed methodology of plotting the p-values resulting from multiple significance tests was explored. Proficiency…

The paper describes social studies skills of students age 9-adult as assessed by the 1971-2 National Assessment of Educational Progress (NAEP) Project. NAEP organized skill exercise items around two subthemes: (1) obtaining information, including raising questions, seeking answers, identifying sources of information, and using standard reference…

This study evaluates the results of innovation in teaching methodology in an American government college course. The assumption of the study was that organizing a course into modules which required students to be tested for proficiency after each module was presented would maximize student factual knowledge gain and would result in improved…