Cognition could be seen as a cascade of top-down and bottom-up processes across behavioural and psychophysiological layers in a cognitive architecture. Typical behavioural measurements used in education do not give information about lower cognitive layers. Event-Related Potentials (ERPs) derived from electroencephalography allow researchers to…

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…