What I, if I were a reviewer on this paper, would have liked to have seen is a ROC curve—basically, if you tweak the cut offs, can you get fewer false positives

What I, if I were a reviewer on this paper, would have liked to have seen is a ROC curve—basically, if you tweak the cut offs, can you get fewer false positives at the expense of more false negatives. Assuming fraud in science is rare (I think even the gloom-and-doom-iest reports put it under 20% for any kind of research misconduct, not just fraud), even a moderately low false positive rate will flag a lot more papers than a perfect true positive rate.