Is there a correlation between the Big Five and Socionic type?

[Aquagraph]

IJs are prob higher in conscientiousness
negativists are prob higher in neuroticism
ethicals are prob higher in agreeableness
extroverts in extroversion

Intuitively, I'd say:
-Ne ego correlates with openness whereas Se ego propably does it the other way around
-Se ego propably propably are more extrovert (even if it would be merely a creative funtion) and less neurotic.
-Fi might have a correlation with being neurotic although Se might bring it down a bit.
-Ti might correlate with being neurotic.