Linear models : some historical perspectives -- Basic elements of linear algebra -- Basic concepts in matrix algebra -- The multivariate normal distribution -- Quadratic forms in normal variables -- Full-rank linear models -- Less-than-full-rank linear models -- Balanced linear models -- The adequacy of Satterthwaite's approximation -- Unbalanced fixed-effects models -- Unbalanced random and mixed models -- Additional topics in linear models -- Generalized linear models.