From what I can tell on these threads, Homeschooling is a crap shoot. The parents may be morons, in which case the kid doesn't stand a chance. I mentioned Piaget to one homeschool proponent and they had no idea what I was talking about.
The available statistics would show you that homeschooling, as a whole, is a very successful venue.
Here is a link that will point you to quite a number of studies on the success of homeschooling.
Not exactly an independent website, is it?
From my point of view, homeschooling is only as good as the parents who do it. So, it's a crap shoot. It depends on the dedication and intelligence of the parents. And while public school is also a crap shoot, the kid stands a fighting chance with different teachers every year.
I have to sign off. Need to get to work. It's been fun. Take care.