| Course Description : | Normal equations and least squares estimation, solution of normal equations by generalized matrix inverse, invariant and estimable linear parametric functions, multidimensional normal distribution, noncentral Chi-square distribution, distribution of linear and quadratic forms, independence of several quadratic forms and orthogonality, full rank and less than full rank linear models, analysis of variance for linear models, variance components and mixed models, Gauss-Markov and BLUE estimators. |