Sam_Jaques comments on 2012 Survey Results - Less Wrong

80 Post author: Yvain 07 December 2012 09:04PM

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Comment author: [deleted] 29 November 2012 01:22:13PM 23 points [-]

I really have no idea what went so wrong [with the question about Bayes' birth year]

Note also that in the last two surveys the mean and median answers were approximately correct, whereas this time even the first quartile answer was too late by almost a decade. So it's not just a matter of overconfidence -- there also was a systematic error. Note that Essay Towards Solving a Problem in the Doctrine of Chances was published posthumously when Bayes would have been 62; if people estimated the year it was published and assumed that he had been approximately in his thirties (as I did), that would explain half of the systematic bias.

Comment author: Sam_Jaques 02 December 2012 04:01:53AM 4 points [-]

To expand on this: Confidence intervals that are accurate for multiple judgements by the same person may be accurate for the same judgement made by multiple people. Normally, we can group everyone's responses and measure how many people were actually right when they said they were 70% sure. This should average out to 70% is because the error is caused by independent variations in each person's estimate. If there's a systematic error, then even if we all accounted for the systematic error in our confidence levels, we would all still fail at the same time if there was an error.