Do you mean homeschooling or unschooling or both here? I haven't seen research that specifically targets unschooling (which usually is lumped under homeschooling as it's considered a form of it), but homeschooling studies time and again point to it having superior results in general than public or private schooling, as far as academic testing and low college drop-out rate and high entrepreneurship rate and social skills (like a double-blind study was done years ago and found that homeschoolers exhibited less negative behavior like pushing and name calling and more positive behavior like sharing than age-matched traditionally educated children) and so on. I have yet to see a single study showing homeschooling to produce worse results than traditional schooling, but if you have, please share it.