Canonical correlation analysis as a general linear model : A heuristic lesson for teachers and students
Abstract Using a hypothetical data set, the authors provide concrete examples to illustrate that canonical correlation analysis is a general linear model, subsuming other parametric procedures as special cases. Specific statistical techniques included in the analysis are t tests, Pearson correlation, multiple regression, ANOVA, MANOVA, and discriminant analysis. The discussion is aided by an initial explanation of the logic of canonical analysis. Further, similarities between the canonical technique and other univariate and multivariate procedures are highlighted. The treatment is intended to reiterate a framework in which statistical concepts can be presented to students.