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Comment by lutorm | Hacker News Reader

I'm not sure that it's fair to blame this fact on statistics. Incorrect statistics can give rise to illegitimate findings, just like improper measurement technique can. That's not the fault of statistics, it's the fault of people incorrectly applying tools and techniques.

That said, I agree with the conclusion that published research is full of incorrect results. I basically don't believe anything that comes out of a single paper unless it's been confirmed by unrelated work. That's the fault not just of incorrect statistics but of many other things, not the least of which is that doing research is hard and there is no way of knowing your end result is right.

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Some is just misuse of statistics, but there are some stronger claims from various corners that the general meta-procedure is unsound. In particular, scientists get to pick among a number of different statistical tests, and scientific results using very different choices of statistical frameworks then end up aggregated: someone finds out X about heart attacks using method y, and someone else finds out X' using method z, and now medicine is said to know both X and X'.

More formally, most attempts to "lift" statistical inference into logical inference are unsound. A lot of scientists have, at least informally, a mixed model of: we acquire facts statistically (via e.g. hypothesis tests), then once we have those facts, we reason about them logically (using the usual rules of logical argument). But if you try to formalize this, e.g. building a system that derives facts from data by statistical hypothesis testing, and then uses first-order logical inference on the resulting fact base, you quickly get paradoxes.

Here's a few suggestions about better alternatives to Science using statistics:

http://lesswrong.com/lw/1gc/frequentist_statistics_are_frequ...

The obvious fix is to (a) require raw data to be published; (b) require journals to accept papers before the experiment is performed, with the advance paper including a specification of what statistics were selected in advance to be run on the results; (c) raising the standard "significance" level to p<0.0001; and (d) junking all the damned overcomplicated status-seeking impressive nonsense of classical statistics and going to simple understandable Bayesian likelihoods.

Suggestion b is both radical and very thought provoking. Which, at this point, I expect from Yudkowsky.

I think in some fields achieving (c) is almost impossible - the n number needed would be too expensive for most labs working with animal models, for instance. (b) would be interesting, especially if it led to a culture where "failed" results are still worth publishing because they disprove something. I think (a) is the one worth focusing on first, since that seems the most achievable and would let you back-apply some of the other improvements at a later date.

Interesting. The idea that null results are not worth publishing has since the very beginning struck me as one of the most fundamentally flawed ideas in science. Interestingly, it seems to be very domain-dependent. In my field (astrophysics), null results are fairly frequently published, but I've heard that in other fields it's totally impossible to do.

I've run across one or two compiler optimization papers where the conclusion given was that the proposed technique didn't work out so well, but on the whole, it seems it applies there as well. I agree that it's a problem -- if a null result is not published, other people will probably waste years making the same mistakes.

Yeah, the wasted repeated effort was what I initially thought about, too. The argument about how compilations of results will be systematically skewed by certain results not being published is perhaps even more persuasive, because it doesn't just lead to wasted effort but to incorrect results.

I'm not sure that it's fair to blame this fact on statistics.

That's certainly true. The only thing you can say here about statistics is that it's hard, much harder than it looks.

Popular media reports with phrases like "Over 80% of..." create the impression that statistics can be encapsulated in a simple number, but that's far, far from true.

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