Most claimed statistical findings in cross-sectional return predictability are likely true
Abstract
The false discovery rate (FDR) measures the share of false positives in a set of statistical tests. I develop simple and intuitive bounds on the FDR in cross-sectional predictability publications. The simplest bound requires just a few lines of math and finds FDR le 25% based on summary statistics in eight out of nine previous studies. A more refined bound finds FDR le 9%. The FDR is small because randomly selecting accounting ratios produces statistically significant predictability far more often than would occur if there were no predictability. The bounds also reconcile the disparate FDR estimates in the literature.
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