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

[squark]

Pretty self-explanatory, are certain types more likely to have similar scores on the Big Five categories (Openness, Conscientiousness, Extroversion, Agreeableness, Neuroticism)? It seems that, since the Big Five is one of the more accepted personality descriptors, if we can associate type and the five dimensions, it may be beneficial for precision or... something else, no doubt.

And apologies if there is already a thread related to this.

My guess without thinking too deeply about it:

IJs are prob higher in conscientiousness
negativists are prob higher in neuroticism
ethicals are prob higher in agreeableness
extroverts in extroversion
and I doubt openness has any meaningful correlation

[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.