aausch comments on The Amanda Knox Test: How an Hour on the Internet Beats a Year in the Courtroom - Less Wrong

42 Post author: komponisto 13 December 2009 04:16AM

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Comment author: wedrifid 13 December 2009 05:04:03AM *  6 points [-]

Am I really suggesting that the estimates of eight jurors -- among whom two professional judges -- who heard the case for a year, along with something like 60% of the Italian public and probably half the Internet (and a significantly larger fraction of the non-American Internet), could be off by a minimum of three orders of magnitude (probably significantly more)? That most other people (including most commenters on my last post) are off by no fewer than two?

Your assertion of such a high probability of guilt does not constitute a claim that most other commenters on your last post were off by no fewer than two orders of magnitude. Probability is subjectively objective. There is one correct estimate for you to have given what you know but this is not the same one that others should have. In fact, given that on average the commenters care less about the subject so did less research if they arrived at the same confidence as you then one of you would probably have to be wrong.

The commenters whose estimates were closest to mine -- and, therefore, to the correct answer, in my view -- were Daniel Burfoot and jenmarie. Congratulations to them. (But even they were off by a factor of at least ten!)

The task isn't to guess your password. The task is to assign probability estimates about the state of their timeline of universe. Their universe does not include the state 'it is <some completely arbitrary high probability> probable that Amanda is innocent'.

ETA: I totally agree with your main contentions and found your post both insightful and extremely well written. It is rare to see such well reasoned essays from people who are emotionally entangled with the topic.

Comment author: komponisto 13 December 2009 05:29:42AM 0 points [-]

Serious nitpicking going on here. The whole point of my post is that from the information provided, one should arrive at probabilities close to what I said.

I don't have appreciably more info than many who participated in my survey, and certainly not more than the jury in Perugia.

Comment author: aausch 13 December 2009 05:57:28AM 0 points [-]

It might have been more useful to ask for confidence intervals around probabilities. Maybe that should become the standard around here?

That way, I imagine people who did not care so much about the topic/do as much research, would have had a way to indicate the fact.

Comment author: wedrifid 13 December 2009 06:39:25AM *  4 points [-]

It might have been more useful to ask for confidence intervals around probabilities. Maybe that should become the standard around here?

No! In this context confidence intervals around the probability have no meaning!

I do agree that adding extra information about confidence is important for things like this. It's just that this isn't a case for which confidence intervals (approximately) work. It would make more sense if the probability was a property of the universe itself, then you could establish bounds on where the 'true probability' lies (as discussed with komponisto).

Comment author: saturn 13 December 2009 08:14:51AM *  1 point [-]

No! In this context confidence intervals around the probability have no meaning!

Why can't they be confidence intervals around the probability after doing [some amount] more research?

Comment author: Vladimir_Nesov 13 December 2009 09:44:30AM 1 point [-]

Relevant post: Readiness Heuristics

Comment author: wedrifid 13 December 2009 08:20:12AM 1 point [-]

Why can't they be confidence intervals around the probability after doing [some amount] more research?

That you can do.

Comment author: Jawaka 13 December 2009 11:30:39AM 0 points [-]

I feel the same way. I set the probabilities to 25 (not G alone) / 75 (G alone) after half an hour of reading, just because I wanted to have room to be more confident after 2 hours of reading.