Dt. Barnum et Jm. Gleason, THE CREDIBILITY OF DRUG TESTS - A MULTISTAGE BAYESIAN-ANALYSIS, Industrial & labor relations review, 47(4), 1994, pp. 610-621
The authors show that even when drug tests are extremely accurate by c
onventional measures, under some circumstances they will yield a high
''false accusation rate'' (that is, a high percentage of those testing
positive for drugs will not have drugs in their systems). For example
, if a drug-testing process that produces only one false positive per
2,000 drug-free specimens, and no false negatives, is administered to
a population in which 0.1 % of the people use the targeted drugs, one-
third of those identified as drug users will be falsely accused. The a
uthors propose a multi-stage Bayesian algorithm-an approach commonly u
sed in management science but novel to industrial relations-that assur
es that a drug-testing process will have a low enough false accusation
rate to provide credible evidence of drug use. They also identify oth
er types of employee evaluations to which Bayesian modeling could be a
pplied.