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Effect size is significantly more important than statistical significance

argmin.net

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Re: Effect size is significantly more important than statistical significance

#31
post #8

Earlier quoted context omitted.

Not only is it not valuable to publish tons of studies with p=.04999 and small effect size, in fact it's harmful. With so many questionable results published in supposedly reputable places it becomes possible to "prove" all sorts of crackpot theories by selectively citing real research. And if you try to dispute the studies you can get accused of being anti-science.

Only a problem for people who are trying hard not to think. You can just ignore those people. They're not doing any harm believing their beliefs.

We are literally in the middle of a global crisis that is founded on people misunderstanding science.

Re: Effect size is significantly more important than statistical significance

#32

Earlier quoted context omitted.

Only a problem for people who are trying hard not to think. You can just ignore those people. They're not doing any harm believing their beliefs.

The USDA food pyramid and nutrition education would suggest that there's an inherent danger in just letting people believe irrational things after a correction is known. It depends on the belief - flat earth people aren't likely to cause any harm. Bad nutrition information can wreak havoc at scale.

Flat earth beliefs doesn't cause harm, but flat earth believers have largely upgraded to believing more dangerous nonsense.

Re: Effect size is significantly more important than statistical significance

#33

Earlier quoted context omitted.

The problem is that when you’re on the cusp of a new thing, unless you’re super lucky, the result will necessarily be near the noise floor. Real science is like that. But I definitely agree it’d be nice to go back and show something is true to p=.0001 or whatever. Overwhelmingly solid evidence is truly a wonderful thing, and as you say, it’s really the only way to build a solid foundation. When you engineer stuff, it…

Fine. Do it like the experimental physicists do: if you think you're on to something, refine and repeat the experiment in order to get a more robust, repeatable result. The original sin of the medical and social sciences is failing to recognize a distinction between exploratory research and confirmatory research and behave accordingly.

The problem is that it’s really hard to get good data, ethically, in medical sciences. Something that improves outcomes by 5-10% can be really important, but trying to get a study big enough to prove it can be super expensive already.

Re: Effect size is significantly more important than statistical significance

#34
post #2

Speaking not to this study in particular necessarily, I strongly agree with the general point. Science has really been held back by an over-focusing on "significance". But I'm not really interested in a pile of hundreds of thousands of studies that establish a tiny effect with suspiciously-just-barely-significant results. I'm interested in studies that reveal robust results that are reliable enough to be built on to…

A few years ago, HN comments complained about the censorship that only leaves successful studies. We need to report on everything we've tried, so we don't walk around on donuts. What's missing in my mind is admitting that results were negative. I'm reading up on financial literacy, and many studies end with some metrics being "great" at p 5%, but then some other metrics are also "great" at p 10%, without the author e…

> ...so we don't walk around on donuts

I agree with what you're saying, but I don't understand this phrase.

Re: Effect size is significantly more important than statistical significance

#35
I think the weird thing is that a bunch of people in tech understand this well _with respect to tech_, but often fall into the same p-value trap when reading about science.

If you're working with very large datasets generated from e.g. a huge number of interactions between users and your system, whether as a correlation after the fact, or as an A/B experiment, getting a statistically significant result is easy. Getting a meaningful improvement is rarer, and gets harder after a system has received a fair amount of work.

But then people who work in these big-data contexts can read about a result outside their field (e.g. nutrition, psychology, whatever), where n=200 undergrads or something, and p=0.03 (yay!) and there's some pretty modest effect, and be taken in by whatever claim is being made.

Re: Effect size is significantly more important than statistical significance

#36
An investigator needs to rule out all conceivable ways their modeling can go wrong, among them the possibility of a statistical fluke, which statistical significance is supposed to take care of. So statistical significance may best be thought of as a necessary condition, but is typically is taken to be a sufficient condition for publication. If I see a strange result (p-value Dave Freedman's Statistical Models and Shoe Leather is a good read on why such formulaic application of statistical modeling is bound to fail.[0]

[0:https://psychology.okstate.edu/faculty/jgrice/psyc5314/Freed...]

Re: Effect size is significantly more important than statistical significance

#37

Earlier quoted context omitted.

Fine. Do it like the experimental physicists do: if you think you're on to something, refine and repeat the experiment in order to get a more robust, repeatable result. The original sin of the medical and social sciences is failing to recognize a distinction between exploratory research and confirmatory research and behave accordingly.

The problem is that it’s really hard to get good data, ethically, in medical sciences. Something that improves outcomes by 5-10% can be really important, but trying to get a study big enough to prove it can be super expensive already.

Nobody likes being in the control group of the first working anti-aging serum...

Re: Effect size is significantly more important than statistical significance

#38
post #2

Speaking not to this study in particular necessarily, I strongly agree with the general point. Science has really been held back by an over-focusing on "significance". But I'm not really interested in a pile of hundreds of thousands of studies that establish a tiny effect with suspiciously-just-barely-significant results. I'm interested in studies that reveal robust results that are reliable enough to be built on to…

Come into Bayesian land, the water is fine. The whole NHST edifice starts to seem really shaky once you stop and wonder if "True" and "False" are really the only two possible states of a scientific hypothesis. Andrew Gelman has written about this in many places, e.g. http://www.stat.columbia.edu/~gelman/research/published/aban... .

Bayesian reasoning has even worse underpinnings. You don’t actually know any of the things the equations want. For example suppose a robot is counting Red and Blue balls from a bin, the count is 400Red and 637Blue, it just classified a Red ball.

Now what’s the count, wait what’s the likelihood it misclassified a ball? How accurate are those estimates, and those estimates of those ...

For a real world example someone using Bayesian reasoning when counting cards should consider the possibility that the deck doesn’t have the correct cards. And the possibility that the decks cards have been changed over the course of the game.

Re: Effect size is significantly more important than statistical significance

#39
post #38

Earlier quoted context omitted.

Come into Bayesian land, the water is fine. The whole NHST edifice starts to seem really shaky once you stop and wonder if "True" and "False" are really the only two possible states of a scientific hypothesis. Andrew Gelman has written about this in many places, e.g. http://www.stat.columbia.edu/~gelman/research/published/aban... .

Bayesian reasoning has even worse underpinnings. You don’t actually know any of the things the equations want. For example suppose a robot is counting Red and Blue balls from a bin, the count is 400Red and 637Blue, it just classified a Red ball. Now what’s the count, wait what’s the likelihood it misclassified a ball? How accurate are those estimates, and those estimates of those ... For a real world example someone…

Can't you just add that to your equation? Seems like for anything real, this will not go many levels deep at all before it's irrelevent.

Re: Effect size is significantly more important than statistical significance

#40
post #2

Speaking not to this study in particular necessarily, I strongly agree with the general point. Science has really been held back by an over-focusing on "significance". But I'm not really interested in a pile of hundreds of thousands of studies that establish a tiny effect with suspiciously-just-barely-significant results. I'm interested in studies that reveal robust results that are reliable enough to be built on to…

> If I were King of Science, or at least, editor of a prestigious journal, I'd want to put word out that I'm looking for papers with at least one of some sort of significant effect, or a p value of something like p = 0.0001. Yeah. That's a high bar. I know. That's the point.

And study preregistration to avoid p-hacking and incentivize publishing negative results. And full availability of data, aka "open science".

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