When researchers are exploring convergent validity, they often compare a new questionnaire with an existing one. When both share the same theoretical underpinnings, are designed for similar populations (e.g., geriatrics) and are in the same language, what kind of figure might one expect for r2? A lot of researchers report highly significant correlations, but, when testing the psychometric properties of new questionnaires, they often have large sample sizes. So I'm wondering what kind of R2 might be a good indicator of convergent validity?
I appreciate it's not going to be 100%, as that would mean a new questionnaire did not improve upon an existing on, but a lot of researchers report 'highly significant' relationships, but with r in the order of .30 to .50.