The standard ANOVA models with random effects for multi-indexed arrays of random variables with an arbitrary nesting structure on the indices are considered from the viewpoint of symmetry. It is found ...

A general theory on rates of convergence of the least-squares projection estimate in multiple regression is developed. The theory is applied to the functional ANOVA model, where the multivariate ...

Such model is called multiple linear regression or multivariable linear model. In essence, the additional predictors are expected to explain the variation in the response not explained by a simple ...

By integrating sophisticated statistical models—such as analysis of variance (ANOVA), linear regression and mixed‐model approaches—with classical Mendelian concepts, this discipline enables ...