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 changing social and economic reality of our world continues to shape how learning is conducted and acquired in the adult classroom and beyond. Given the pivotal importance for an adult to develop a variety of cognitive and emotional skills and given the need to work in collaboration with others, within educational environments and the…