I'm doing an assessment of the parenting capacities within the forensic field and I'm looking for update reference on Profile 4-6 for treatment and prognosis.
I hope somebody else can do a better job than I on this one! My sense is that there isn't a lot of active research on MMPI code types these days. This doesn't mean they're no good (though there are some researchers who say so), only that it isn't a "hot" topic. If anyone's doing it, it'll be the folks who work more or less full-time on the MMPI. So I would say to consult a couple of the better interpretative books. Graham's and Butcher's are perennial favorites, of course. They will summarize current thinking, but won't differentiate between that which is empirically well established and that which rests on older studies and persistent clinical lore.
I agree with Stephen's suggestion and would add to the list Yossef Ben-Porath, who's actively involved with MMPI research and its forensic implications.
I would also add that it's important to be cautious in making any inferences about specific parenting capacities based on any psychological assessment data. How the externalizing tendencies typical in 46/64 profiles relate to capacities for empathy, impulse control, reciprocity, and any number of parenting abilities depends on the synthesis of a broad range of clinical information, with this profile serving as one of many pieces.
As Steven said, MMPI code type research has died off with most of the work being done now based on individual scale elevations- such as is the caset of Ben-Porath and the MMPI-2-RF's forensic work. One of the primary issues that I take with a lot of the code type work in Graham (etc) is that many of the studies are based on very outdated samples, populations, and (most importantly in my view) versions of the DSM/outcome measures.
On a related note, I ran across some information at APA last year that you may be interested in while not directly in relation to the question you asked of code types for outcome. Paul Spengler at Ball State produced some really useful and interesting norms for the MMPI-2 based on a large sample of parents involved in forensic parent evaluations. That seems like pertinent information.
Gretchen Hoffman, Dale Pietrzak. Nonclinical correlates of the MMPI-2 Supplementary Scales using the Adjective Check List. The International Journal of Educational and Psychological Assessment. 09/2012; 11(2):77-107.