Question

Similarities and differences between cannonical correlation and multiple correlation

Answer 1

think you are trying to distinguish Canonical Correlation Analysis and Canonical Correspondence Analysis. They are similar, in that they both search for a multivariate relationship between two datasets (like an environmental dataset and a species abundance dataset). Canonical Correlation Analysis assumes a linear relationship, which is often not found in nature. Population ecologists generally use Canonical Correspondence Analysis, which assumes a unimodal response curve.