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Yes, those things might be true. But I don't know anything about the pens and sticky fixit pads of the different toothpaste companies, and I have no reason to e
by philh 12y ago
Yes, those things might be true. But I don't know anything about the pens and sticky fixit pads of the different toothpaste companies, and I have no reason to expect it correlates (in either direction) with toothpaste quality, so knowing this shouldn't change my decision. It should make me less confident in my decision, but not change it.
Toothident is more likely to be recommended by 4/5 dentists in a world where it is better than other toothpastes, than in a world where it is worse.
So by Bayes theorem, if we see that 4/5 dentists recommend toothident, this is evidence that toothident is better than other brands of toothpaste.
It's not necessarily strong evidence, but it is definitely evidence. (And I do actually think it's fairly strong, if you can get 4/5 dentists to specifically recommend that one without priming them.)
- lotsofmangos 12y agoToothident is more likely to be recommended by 4/5 dentists if it is much better known than the best toothpaste, and advertising achieves that. Edit- Also dentists are not necessarily particularly rational. I know a dentist who told me that she rejects evidence based medicine and thinks that we should use traditional Chinese medicine instead. She isn't Chinese, she is a British middle-class hippy and when I asked her about the effect on rare species, she said that rare species are never used in Chinese medicine. I then asked her if she supports evidence based medicine when her patients are anesthetized, or does she think the dosage should be guessed and she said she didn't know what that had to do with it. Also, 5 is a tiny sample. From a sample of 5 dentists, 4 might tell you that the second coming of Christ is imminent, but that would tell you very little about either Christ's travel plans, or the opinions of dentists.
- DanBC 12y ago> Toothident is more likely to be recommended by 4/5 dentists in a world where it is better than other toothpastes, than in a world where it is worse. This is false and it is dangerous. Dentists are not experts in toothpaste; they're not experts in the latest toothpaste research. A dentist recommending toothident will probably have no idea about whether toothident is better or worse than some other toothpaste. For a real world example of this see knee arthroscopy for rheumatoid arthritis. Doctors would recommend this surgery over other treatments until placebo[1] controlled trials found little benefit. "X out of Y experts recommend $THING" would be a terrible reason to chose $THING over $OTHERTHING unless you have imformation about why they recommend it and how they made that decision.
- philh 12y agoMy argument doesn't rely on dentists being experts on toothpaste. It relies on them knowing more than I do about toothpaste, on average. I can think of plausible mechanisms that would discriminatingly push an unusually good toothpaste to the top of dentists' recommendations. Offhand, I can't think of any that would discriminatingly push an unusually bad toothpaste up there. By "discriminatingly", I mean that e.g. advertising would work just as well for a good toothpaste as a bad one. But "the evidence suggests that this toothpaste is actually really good" is more likely to show up for a good toothpaste than a bad one. And I can't think of anything which is more likely to recommend a bad toothpaste than a good one. So if I think there's a 90% chance that toothident is only recommended because of advertising, then I have no reason to think that toothident is particularly good or bad; but if there's a 10% chance that dentists do actually have a reason to recommend toothident, then I should use toothident, because I have no reason to favour anything else. Certainly there are cases where this goes wrong, but I never claimed it was infallible.
- gress 12y agoIt sounds as though you are assuming that the signal that dentists receive from advertising will be equal for all toothpastes and so the signal from some evaluation of knowledge of toothpaste quality will still be enough to make the better product be the one they recommend.
- philh 12y agoI'm not assuming that. Advertising is noise, and knowledge is signal. I can't cancel out the noise, I can only observe noise+signal. But I expect the noise to be uncorrelated with the signal, which means that wherever noise+signal is highest is my best bet for where noise is highest. The more noise there is relative to signal, the less effective this method gets, but it's still better than any other strategy (in this toy model).
- gress 12y agoWhat makes you think the signal is stronger than the noise?