I found this information in a news article that cites a report from the Frazier Institute. The Fraser Institute is an independent research and educational organization based in Canada. Its mission is to measure, study, and communicate the impact of competitive markets and government intervention on the welfare of individuals in Canada and the United States.
The article said, "Poorly educated parents who choose to teach their children at home produce better academic results for their children than public schools do. One study we reviewed found that students taught at home by mothers who never finished high school scored a full 55 percentage points higher than public school students from families with comparable education levels."
I thought that was interesting because it blows the argument that homeschooling 1. should require a credentialed teacher, not a parent, and that 2. only privileged children from well educated families can get a good education being schooled at home.
I personally think that nothing 1. replaces a one-on-one education within a loving environment and 2. the structure of our educational system is so severely flawed in so many ways, that anything anybody can do to help any child should be encouraged, even facilitated----especially if we are to build a strong tomorrow.