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Martin Greenwald, M.D.'s avatar

Great post. I don't know the medical details of the case, but I agree that convicting someone based partly on statistics like this is seems really bad. Weird stuff happens in medicine all the time and usually it isn't intentional wrongdoing. Statistical anomalies can be used to alert us and guide further investigation, but we ultimately need to find a real and convincing cause.

Also, generally speaking—and again I don't know all the details of the case—using something someone wrote in the context of a therapy exercise as evidence against them is shockingly inappropriate. The fact that the counselor was employed by the hospital, thus creating even more conflicts of interest, is even crazier. I'm surprised that kind of thing would be admitted in court in the first place.

Peter Gerdes's avatar

While statistical evidence, used correctly, can be very strong I fear it is particularly tricky for the adversarial method to handle. Part of it is that all but the most wealthy defendents will struggle to get the same quality experts and the judge won't understand how to evaluate the reliability but the issue goes deeper.

A key aspect of getting useful statistical evidence is unbiased samples but a prosecutor will always investigate the cases they see as suspicious. This creates a fundamental problem that by the time you summon a statistician to perform an analysis the investigation has already selected a deeply biased sample (the suspicious cases) and information about how those cases were selected will have been lost or it's importance not understood.

So the statistician working for the prosecution comes in and gets asked to evaluate how likely it is that these cases occured by chance but that's an impossible task without knowing how those cases were selected. Worst case, the investigator identifies some propoerty discovered after the fact not realizing it matters. Best case the statistician has to just make some vaguely plausible assumptions about the messy process of gut and testing that selected those cases.

I'd go so far as to suggest that in any case the prosecution wishes to introduce statistical evidence/arguments the court should be notified when charges are filed and -- at the defense's consent -- a special master with statistical and forensics expertise appointed to reexamine or reinvestigate the case.

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