Solution is to support proper scientific procedures, support civic organizations carrying out the important tasks of vetting claims, and being an example of someone who values the correct protocols when evaluating data and making conclusions (or not making them).
It's a very slow process, and we're lucky we're in a timeline where the work of various people throughout history has gotten us here. We'll have to work to keep it going further, and literacy in math, statistics, and the scientific process is crucial.
Compare the two statements: "10 out of 80 people that took the drug lived a month longer but were extremely miserable."
Versus: "A new cancer drug doubles the average survival rates scientists say".
Which one do you understand better? Here I just made up some examples, but as a scientist I'll tell you just about all the papers I read are in the second category, it takes an unreasonable amount of effort to get the first type of infomration out of the publications.
When I use the word statistics in this conversation, I mean the use of math to analyze and compare data. This can be done inappropriately, of course, but the problem doesn't lie with the principles of math (including statistics), but the agent using them inappropriately.
And medical (or biology related) statistics are used most inappropriately, due to various cognitive biases and financial incentives. But the problem is not statistics, and it's still the best tool we have unless we can find a Magic School Bus to shrink us down and go observe the chemical reactions in real time. But I know that stats are abused, so anytime I see a fantastical claim, especially in medicine, I approach it much skepticism.
Psychology journal bans P values
https://www.nature.com/news/psychology-journal-bans-p-values...
I happen to agree with the sentiment expressed above that the entire concept of hypothesis testing is fundamentally flawed. This is what you call the "best tool". It is not, it is the tool that is used because it allows for the most fudging of results.
There are endless ways to be unintentionally obscure, to semi-intentionally obfuscate or to just flat out lie. And it very hard to tell these apart - one would need to dedicate more effort than usually worth.
And obviously (sweeping) results from health related experiments should obviously be met with skepticism considering the complex nature of the problem.
But that's practically all they're used for!
IMHO it actually suggests we need to improve the average person's educational level
walk into any university, go from one faculty office to another, ask each professor what a p-value is and the overwhelming majority won't give you even a half-decent definition (I did this and can attest to it)
you know why? because p-values are far more complex than people care to admit. Most statisticians cannot properly use it! There are ongoing "ideological wars" over what it actually means. Even the founders Fisher etc argued all the time about them. If you used p-value correctly, you would almost never be able to find anything, not even valid results.
So people have to "bend" the truth a little bit. Nowadays more often than before, the truth gets bent out of shape.
But yes, society doesn't function well when people are corrupted.
Your distribution is not normal - it almost never is, now you have to argue that the method is still robust - there is no proof that is indeed robust as you claim. Then your measurement is a bit biased, see on Tuesdays the measurements do turn out a little bit differently, but most often does not matter, so you skimp over that as well.
Statistics is the wrong approach because if you did everything correctly and stuck to the letter of it you only end up hurting yourself. You'll make fewer of the valid discoveries that you make when you bend it a bit.
This is the fundamentally wrong thing about it! Strictly sticking to the rules will make you weaker. Bending statistics a little leads to more valid results.
If it is not normality then something else. Every statistical measure makes assumptions, most of which never quite hold true. That was my point. When someone uses statistics they always fudge things a bit. Many times does not matter, if you were stickler for "precision" it would not work.
It is it's own thing, the art and science of making data and observations into information. Yes newspapers and the regular pundits abuse it all the time, but don't pin that on statistics, pin that on those that abuse it with, or without (usually) knowing better.
Statistics are unavoidable, unavoidable enough that much of our perception seem to make use of the same statistical calculations sciententists use, only without us having the ability to scrutinize its workings.
As the old saying goes: "Better to remain silent and be thought a fool than to speak and to remove all doubt."
https://slatestarcodex.com/2014/04/28/the-control-group-is-o...
Basically it boils down to the fact that studies & statistics used are still very, very, prone to human bias.
Wine is good for you, chocolate is bad for you, cholesterol is good for you, wine is bad for you, red meat good for you, Fluoride bad for you! I could find you a statistically significant study supporting any conclusion I want right this minute. Since that is the case, why should the average Joe believe any of them? This is made even worse by news articles and popsci blogs not even linking to the source papers, so avg Jane can't even investigate further if she wants to.