Sir
In his Commentary 'The science of doping' (Nature 454, 692–693; 2008), Donald Berry discusses Bayes' rule, noting that consideration of P, the prior probability of guilt, is essential in interpreting a positive doping result. He fails, however, to mention what the actual value of P might be in Floyd Landis's case, which I think misses an opportunity to address an important problem.
Athlete acquaintances and the news media have led me to believe that P can be very high, and in fact approach unity, in some sports. If this is true, then anti-doping measures should cease — and not because of the statistical arguments that Berry raises, rather because the testing isn't telling us anything we don't already know.
If P is close to 1, then negative tests are most likely to be false negatives. Those who test positive might only be those who are least adept at hiding their drug use.
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Baird, G. Doping: probability that testing doesn't tell us anything new. Nature 455, 166 (2008). https://doi.org/10.1038/455166b
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DOI: https://doi.org/10.1038/455166b