This is interesting:
Does Homeschooling Make Children More Religious? | The New Republic
“Baylor University sociologist Jeremy E Uecker found through his analysis of data from the massive National Study of Youth and Religion that the key factor in transferring religious commitment was the level of religiosity of the parents and not the sort of schooling children received. On average, homeschooled young adults were no more religious than demographically similar young people who attended public or private schools.”
“Cardus researchers David Sikkink and Sarah Skiles’ analysis, based on a second round of the Cardus Education Survey conducted in 2014, found that while adults raised in a Christian homeschool context were a bit more likely to hold conservative theological views, they were less likely to have an active religious life or to be deeply involved in a religious congregation than demographically equivalent public and privately schooled young adults.”
“Southern Methodist University doctoral student Braden Hoelzle’s case study of four homeschooled college students found that, at least for the students he studied, going to college liberalized homeschoolers raised as conservative Protestants. He found that the more authoritarian the parenting style, the more pronounced the liberalization tended to be.”
That’s a very small sample, of course.
“In general, both the quantitative and qualitative studies have found that most homeschooled Christian children continued in their faith when they grew up, as did most Christian children who attended public and private schools. The type of schooling did not really make a lot of difference, especially not the sort of transformative difference many parents who choose it hope for. If anything, homeschooled children, especially those raised in very conservative homes, tend to liberalize over time, especially if they went on to college.”