I don't think anyone is arguing black overrepresentation in crime. Rather is arrests to shooting ratio a good measure of racial bias. As Fryer himself notes,

I don't think anyone is arguing black overrepresentation in crime. Rather is arrests to shooting ratio a good measure of racial bias. As Fryer himself notes, shootings are very different than almost anything else police do -- its a life changing event. In his own research he notes that excessive force does show racial bias, but it's not viewed as a life changing event for the cop. In fairness to Fryer (and yourself), we may not have the tools to determine this definitively either way today. And really my more important point is that as a society we should approach with caution statistical claims where we don't have a good understanding of the methods and the pros/cons of the methods. After becoming familiar with Fryer's methods in this study I'm probably leaning toward his conclusions being wrong -- but I wouldn't wager large sums of money on my leaning.