I am going to post a FIRST draft (for a brief presentation next week in Madrid). [I thank David Cox for the idea!] I expect errors, and I will be very grateful for feedback! This is part I; part II will be posted tomorrow. These posts may disappear once I’ve replaced them with a corrected draft. I’ll then post the draft someplace.
If you wish to share queries/corrections please post as a comment or e-mail: error@vt.edu. (ignore Greek symbols that are not showing correctly, I await fixes by Elbians.) Thanks much!
ONE: A Conversation between Sir David Cox and D. Mayo (June, 2011)
Toward the end of this exchange, the issue of the Likelihood Principle (LP)[1] arose:
COX: It is sometimes claimed that there are logical inconsistencies in frequentist theory, in particular surrounding the strong Likelihood Principle (LP). I know you have written about this, what is your view at the moment.
MAYO: What contradiction?
COX: Well, that frequentist theory does not obey the strong LP. Continue reading