You obviously have every right to be critical of the statistics. However, if I were you I would at least make a cursory effort to be informed first so as not to appear ignorant. The data you seek is readily available. One of many sources is the 1997 study by Dr. Brian Ray of NHERI. This study shows that the superior test scores of home-schooled children were virtually independent of the level of education of either parent (incredible!), independent of parental certification (what does that say about the "trained professionals"?), independent of state regulation (suprise, suprise), and independent of minority status. There was a difference based on gender, however. The reading scores of males were lower than those of females, but by a smaller margin than public schools.