I have a data set that contain 75 variables of football players . These 75 variables basically measures two different types of information. 30 of those variables related to bio metric information and other 45 variables related to individual performing abilities.
I want to identify the correlation between the bio-metric information and individual performing abilities.
My approach for this is ,
first do the principle component analysis separately for the variables that measure bio metric information and the variables that measure individual performing ability. And later use those principle components to calculate the correlation.
I want to know whether my approach is correct or not. Are there any statistical methods that are more suitable to this situation ?
Thank you .