We develop an Empirical Bayes grading scheme that balances the informativeness of the assigned grades against the expected frequency of ranking errors. Applying the method to a massive correspondence experiment, we grade the racial biases of 97 U.S. employers. A four-grade ranking limits the chances that a randomly selected pair of firms is mis-ranked to 5% while explaining nearly half of the variation in firms' racial contact gaps. The grades are presented alongside measures of uncertainty about each firm's contact gap in an accessible rubric that is easily adapted to other settings where ranks and levels are of simultaneous interest.
Publisher
Published On
Jun 23, 2023
Authors
Patrick Kline, Evan K. Rose, Christopher R. Walters
Tags
Empirical Bayes
grading scheme
racial biases
U.S. employers
ranking errors
contact gaps
uncertainty measures
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