The ROC curves of science

In practice, there is an inverse relationship between increasing rates of true discoveries and decreasing rates of false discoveries and that true discoveries from fields such as the biomedical sciences provide an enormous benefit to society. Few will deny that our current system, with all its flaws, still produces important discoveries. Want to find an optimal way out, the solution might be through ROC curves:

http://simplystatistics.org/2013/08/01/the-roc-curves-of-science/

Also, here is Andrew Gelman's recent post on what he calls the "scientific mass production of spurious statistical significance":
http://www.slate.com/articles/health_and_science/science/2013/07/statistics_and_psychology_multiple_comparisons_give_spurious_results.html