The other relevant point is that I object to the binary nature of NHST. (It's binary even in your approach, right?) That is usurping the role of the analyst to make the binary decision. NHST throws away valuable information. 2/
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Re model error, I go into great detail on this in the Appendix, using real-world examples to illustrate the problems. Do you find that material relevant/useful? 3/3
I don't want to throw away information, but I do sometimes want a binary approach. We agree the decision needs to be made, and we agree that CIs provide useful information. Non-inferiority constructs a NHST not by throwing away scientific judgment, but by making the judgment before seeing the data.
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