The raw canonical coefficients above are used to generate the canonical variates, represented by the columns (1 2 3) in the coefficient tables, for each set. They are interpreted in a manner analogous to interpreting regression coefficients i.e., for the variable read, a one unit increase in reading leads to a .0446 increase in the first canonical variate of the COVARIATE set when all of the other variables are held constant. Here is another example: being female leads to a .6321 increase in the dimension 1 for the COVARIATE set with the other predictors held constant.
The raw canonical coefficients are interpreted in a manner analogous to interpreting regression coefficients i.e., for the variable read, a one unit increase in reading leads to a .0446 increase in the first canonical variate of set 2 when all of the other variables are held constant. Here is another example: being female leads to a .6321 increase in the dimension 1 for set 2 with the other predictors held constant. When the variables in the model have very different standard deviations, the standardized coefficients allow for easier comparisons among the variables.
The raw canonical coefficients are followed by the standardized canonical coefficients. The standardized canonical coefficients are interpreted in a manner analogous to interpreting standardized regression coefficients. For example, consider the variable read, a one standard deviation increase in reading leads to a 0.45 standard deviation increase in the score on the first canonical variate for the COVARIATE set when the other variables in the model are held constant.