This depends heavily on parent involvement, dedication, and education. Even in public school the outcomes are heavily dependent on parents. If your father is an

This depends heavily on parent involvement, dedication, and education. Even in public school the outcomes are heavily dependent on parents. If your father is an engineer who helps you with your homework and wants you to go to university, you will do much better. Home school with parents who do not want to, don't have time, or are incapable of helping or teaching will not do much, and the child would be better off with a school teacher who is motivated and trained--- but, if parents are heavily involved and capable then they are a teacher with very high motivation and can give very personalized instruction suited to the temperament of the pupil. So it all depends.