Crane (and Martin’s) full position is elaborated in the 2018 preprint Is Statistics Meetting the Needs of Science? (See my post above for link.)
Blockquote
To be clear, our lack of conviction about whether statistics is meeting the challenge ought not be construed as skepticism about whether it can meet the challenge [of modern science].
After re-reading his critique on a new p-value threshold (mentioned here), I came to understand, and ultimately agree with your position that estimation should be emphasized over testing. Tests are too easy to misuse for the information they provide.
Ultimately, I think everyone would learn to appreciate it if authors were encouraged to publish using p-value curves and “confidence” distributions (ie. the set of all interval estimates 1-\alpha with \alpha ranging 0 \lt \alpha \lt 1 as statistical summaries, regardless of whether they later use Bayesian or likelihood methods for analysis.
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