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this post was submitted on 09 Jul 2023
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There's still a lot of debate around this topic. It's obviously difficult for people who have used these methods for the past 60 years to simply say "I've been using a flawed method for 60 years" – although in the end that's how science works. The problem moreover is double: the method has built-in flaws, and on top of that it's often misused.
Some starters:
The official statement by the American Statistical Association
A follow-up editorial
Signatories for the dismissal of the method
Many papers explaining the built-in flaws, from this old 1935 paper and this old 1965 discussion, to more recent ones; for example this, or this, or this, or this, or this tutorial
This paper gives a good summary
Journals that don't accept "statistical significance" methods anymore: this or this
Several books, for example this one. I agree with the factual content of this book, but I don't like the authors's braggart way of writing. In their defence, though: it's the same braggart way of writing that R. A. Fisher, the father of "statistical significance", often had.
What's sad is that these discussions easily end in political or "football-team"-like debates. But the mathematical and logical proofs are there, for those who care to go and read them.
Thanks, I appreciate it - looks like I've got some bedtime reading for awhile :)
My pleasure!