Here are the stats:
Because Homeschooling Works If it's not broken, why spend money to fix it?
How do homeschoolers measure up?
Because home education allows each student to progress at his or her own rate, almost one in four home school students (24.5%) are enrolled one or more grades above age level (Figure 2). It should be noted that home school scores were analyzed according to the student’s enrolled grade rather than according to the student’s age level. In other words, a 10-year-old home school student enrolled in 5th grade would have been compared to other students in the 5th grade, rather than to his age-level peers in the 4th grade. Thus, the demonstrated achievement of homeschoolers is somewhat conservative.
On average, home school students in grades 1–4 perform one grade level higher than their public and private school counterparts. The achievement gap begins to widen in grade 5; by 8th grade the average home school student performs four grade levels above the national average (Figure 3).
Another significant finding is that students who have been home schooled their entire academic lives have the highest scholastic achievement. The difference becomes especially pronounced during the higher grades, suggesting that students who remain in home school throughout their high school years continue to flourish in that environment (Figure 4).
Differences were also found among home school students when they were classified by amount of money spent on education, family income, parent education, and television viewing. However, it should be noted that home school students in every category scored significantly higher than the national average.
No meaningful difference was found among home school students when classified by gender (Figure 5). Significantly, there was also no difference found according to whether or not a parent was certified to teach (Figure 6). For those who would argue that only certified teachers should be allowed to teach their children at home, these findings suggest that such a requirement would not meaningfully affect student achievement.Source