Syllabus: 

Multivariate normal distribution, Transformations and quadratic forms; Review of matrix algebra involving projection matrices and matrix decompositions; Linear models; Regression and Analysis of variance; General linear model, Matrix formulation, Estimation in linear model, Gauss-Markov theorem, Estimation of error variance, Testing in the linear model, Regression, Partial and multiple correlations, Analysis of variance, Multiple comparisons; Stepwise regression, Regression diagnostics.

Reference Texts:

1. Sanford Weisberg: Applied Linear Regression
2. C R Rao: Linear Statistical Inference and Its Applications
3. George A F Seber and Alan J Lee: Linear Regression Analysis