If only those variables of statistically significant association with immune response are included (as assessed with the 2005 data), these multiple correlation and determination estimates would be lower.
For the above equation, the multiple correlation coefficient (R) and the determination coefficient (R2) are used to evaluate the validity of the model.
Furthermore, the squared multiple correlation (R2 or coefficient of determination), representing a measure of the proportion of the variance of the dependent variable that is explained by the independent variables, is also presented.
The squared multiple correlation, also called coefficient of determination (R), was used to estimate the proportion of variation in LDL-cholesterol change explained by the predictors.
The PSI in the older group showed a weak correlation with patient age (correlation coefficient [ r] = 0.467, P = 0.004) (Table 3).> -wrap-foot> (r = 0.467; r = 0.219; 2 adjusted r = 0.196) r multiple correlation coefficient, r coefficient of determination, B nonstandardized regression coefficient, CI confidence interval; β standardized regression coefficient; VIF variance inflation factor.
To assess the relations with the criterion, we calculated the Pearson correlation coefficient (r), multiple correlation coefficient (Ry.123), and the coefficient of determination (Ry.123).123
To further estimate the explanatory ability of the BCSQ-12-SS over the criterion, we calculated multiple correlation coefficients (Ry.123) and multiple coefficients of determination (Ry.123).123
r 2, the coefficient of determination, is the squared value of the multiple correlation coefficient.
The other is a redundancy measure in the form of a new regularized version of the coefficient of multiple correlation r ~ ∗, which can be interpreted as a regularized coefficient of determination in linear regression.
Linear multiple correlation, rank correlation, circular linear correlation, circular rank correlation, and multiple regression were used as statistical analyses.
