Regression analysis
In statistics, canonical analysis (from bar, measuring rod, ruler) belongs to the family of regression methods for data analysis. Regression analysis quantifies a relationship between a predictor variable and a criterion variable by the coefficient of correlation "r", coefficient of determination "r"2, and the standard regression coefficient "β". Multiple regression analysis expresses a relationship between a set of predictor variables and a single criterion variable by the multiple correlation "R", multiple coefficient of determination R², and a set of standard partial regression weights "β"1, "β"2, etc. Canonical variate analysis captures a relationship between a set of predictor variables and a set of criterion variables by the canonical correlations "ρ"1, "ρ"2, ..., and by the sets of canonical weights C and D.