STAT
643
Theory of Linear Models
Hours
3.0 Credit, 3 Lecture, 0 Lab
Prerequisites
Random vectors; multivariate normal distribution; quadratic forms distribution; full-rank and non-full-rank linear models hypothesis testing; random predictors; estimability; Bayesian topics; mixed and/or generalized linear models.
Prove and Explain
Prove and explain the theory behind full-rank and non-full rank linear models hypothesis testing
Derive the Distribution
Derive the distribution of quadratic forms
Understand, Prove, and Explain
Understand, prove, and explain various issues associated with linear models including estimability, Bayesian approach to analysis, and generalized linear models