On linear statistical models of commutative quadratic type
Barbel Elpeit · Communication in Statistics- Theory and Methods · 1989
By defining a special class of vector decompositions we consider linear statistical models of commutative quadratic type, which especially cover balanced complete and incomplete ANOVA models with fixed, random and mixed effects. Under the assumption of normal distribution we are concerned with distributions of general quadratic forms, with point and confidence region estimation as well as with hypothesis testing for fixed effects (including multiple comparisons) and variance components.