While I don't have the specific answer, you should be able to find that and much more through one of the research links at the Homeschool Legal Defense Association: http://www.hslda.org/research/default.asp
By the way, I believe every homeschooler should join HSLDA.
I am homeschooled. When I took the state tests I was in the 97 percentile.
"Taylor employed the Piers-Harris Children's Self-Concept Scale (PHCSCS) to measure the central core of personality with homeschooled children in grades 4-12. The results of the nationwide study revealed that homeschooled students scored significantly higher than public school students for the global scale and all six subscales of the PHCSCS, indicating that these particular homeschooled students have a higher and more positive self-concept than the public school students. The conclusion is that insofar as self-concept reflects socialization, homeschoolers are neither socially deprived nor inferior regarding socialization (Taylor 1986)" (Romanowski 2006, "Revisiting the Common Myths About Homeschooling").
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