Dr Mircea Zloteanu 🌺🌞🍃#statstab #462 The paradox of one-sided vs. two-sided tests of significance
Thoughts: A solution to Royall's paradox from #461. The "null" is not one thing.
#pvalue #Royall #paradox #onesided #nhst #null #hypothesis #logic
https://www.onesided.org/articles/the-paradox-of-one-sided-v-two-sided-tests-of-significance.php
The paradox of one-sided vs. two-sided tests of significance | OneSided.org
A lot of people find as paradoxical the claim that a one-sided test of significance at a given p-value offers the same type I error guarantees as a two-sided test that produced the same p-value. Here I solve the paradox in its informal version and a formal version put forth by Royall.
