The Canadian Centre for Home Education has posted a wealth of research information about Home Education. The research on this website is not only limited to Canadian Home Education but also International Home Education.
I have included only one out of the many research publications listed on their website. This publication was done in 2012 by Concordia University titled, 'High-marks for Home Schooling'. The publication document is linked below and begins on pg. 8.
In addition, I strongly encourage you to check it out their entire research section on their website by clicking the link below: