Yes I've sent them comments. I guarantee I'm not the only one calling foul on these guys. I have a few problems with the paper: There is a voluminous body of research on racial bias, a less emotionally charged word than discrimination, which these authors use in the title. There is no overt claim in the paper that the effect they study is the result of willful conduct, so why did they put racial discrimination front and center? And yes, Table 3 is where statistical significance of their main argument is examined. But if you read the paper, time and time again they try to support their argument with utterly insignificant statistics, e.g. the 11 games I mentioned in my previous post. And re Table 3 my question is, where are the results for White umpires?! Why did they only cite t-stats for less than 10% of the cases, the games called by Black and Hispanic umpires? They admit to leaving out White umpires without justification or any attempt to explain why. It's not hard to guess: their tenuous claim to significance probably evaporated quickly when they added the 90% of the games called by white umpires. And they say this: No, your results are either significant or they're not. You are not allowed to say things like "suggestive patterns emerge" and other weasel words in an academically honest paper. Who said it was published? It would have been much more impressive had it been peer-reviewed and submitted for publication before calling up MSNBC (note the publication date and the date MSNBC reported the story), rather than throwing it out there with a "COMMENTS WELCOME" slapped at the top. Another ridiculous quote: "The results suggest that standard measures of salary discrimination that adjust for measured productivity may be flawed, and we derive the magnitude of the bias generally and apply it to several examples." Really?? The results purport to prove MLB umpires employ racial discrimination in their ball/strike calls. Isn't a stretch to extrapolate "wage discrimination" metrics from pro athletes making $500k/yr and up to standard cases?