I’m thinking more and more that we have to get rid of statistical significance, 95% intervals, and all the rest, and just come to a more fundamental acceptance of uncertainty.
In practice, I think we use confidence intervals and hypothesis tests as a way to avoid acknowledging uncertainty. We set up some rules and then act as if we know what is real and what is not. Even in my own applied work, I’ve often enough presented 95% intervals and gone on from there. But maybe that’s just not right.