The statistics appear good. Maybe as mentioned before the reason for the improvements in academics are known by Bush so a shotgun approach is needed.
Parents have to be taught how to be better primary education advocates for their children.
The best way is to improve networking between the parents at the school through grassroot organizing. Parents are the single most under used resource for the education process and are far more efficient then any program that can be designed by government. It won't exist. So in my opinion it is not where the child goes but how involved the parents are that will determine success. The way to improve your schools performance is to focus on recruiting new members for your parent organization and developing their leadership.