A MATHEMATICAL STRUCTURE FOR ANALYZING FAIRNESS IN SELECTION¹

Abstract

A model for examining tradeoffs between rate of minority hiring and quality of selectees is presented. Each case is to be defined in terms of the selection ratio, the relation of outcome to predictor within each group, and other parameters. It is shown that, in a representative case, substantial changes in the rate of minority hiring have only small effects on the quality of the work force. How changes in this rate affect indices of adverse impact and other aspects of fairness is also examined.