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Citation needed.

Beyond studies by the National Home Education Research Institute, that is. The three leading studies by homeschooling advocates looked at "homeschooled students who went to college" and how they did at school versus public schooled students at college, and ignored the fact that the percentage of homeschooled students who went to college was much smaller (why?) than for public schools.

My guess for the college admission situation is at least partially because, until recently, a lot of public and private colleges essentially refused to recognize homeschooling as a way to get an education, so your chance of getting admitted was almost zero at a ton of schools. This lead a lot of people (myself included) to essentially join something that's legally an accredited private school, but functionally homeschooling, but you take your exams at a central place at a central time. For statistical purposes, I was private schooled, because that was what I needed to do to make it into college. Actually fully homeschooled people went to community college and then tried and often failed to transfer.

For reference I had to take several SAT subject tests to get into college ~20 years ago, the homeschooling co-op I was a part of did get accredited while I was attending so I think those tests weren't a requirement for other kids who went through an accredited co-op.

I was curious to know what sort of studies had been done in that regard, I didn't notice anything mentioned by the article, though admittedly I only skimmed the 2nd half. FWIW I don't think I've ever met or known of anyone being home schooled in Australia, though I'm sure it must happen.

(Educationally)