Data: Wikipedia claims E/I is very correlated with E, S/N is very correlated with O, F/T fairly correlated with A, J/P fairly correlated with C and somewhat correlated with O, and Neuroticism isn’t measured in MBTI. So this backs up your claim that P/J doesn’t measure any concrete “thing”.
Clicking through the citation gives that N is not well-correlated with anything in men (a tiny bit with E/I), and somewhat correlated with the F/T in women. Also F/T has a small effect on extraversion in men, but it’s S/N and J/P which has the effect on women.
Data: Wikipedia claims E/I is very correlated with E, S/N is very correlated with O, F/T fairly correlated with A, J/P fairly correlated with C and somewhat correlated with O, and Neuroticism isn’t measured in MBTI. So this backs up your claim that P/J doesn’t measure any concrete “thing”.
Clicking through the citation gives that N is not well-correlated with anything in men (a tiny bit with E/I), and somewhat correlated with the F/T in women. Also F/T has a small effect on extraversion in men, but it’s S/N and J/P which has the effect on women.
This abstract follows the Wikipedia excerpt:
http://www.sciencedirect.com/science/article/pii/0191886996000335