Psychometrics generally refers to specialized fields within psychology and education devoted to testing, measurement, assessment, and related activities. Psychometrics is concerned with the objective measurement of latent constructs that cannot be directly observed. Examples of latent constructs include intelligence, introversion, mental disorders, and educational achievement. The levels of individuals on non-observable latent variables are inferred through mathematical and statistical modeling based on what is observed from individuals' responses to items on tests and scales. This project focus on some recent developments in logistic-regression-based psychometrics models, such as Item Response Model, Cognitive Diagnosis Models and Computerized Adaptive Testing.