ABSTRACT: \;An essential component of inference based on familiar frequentist (error statistical) notions p-values\, statistical significance and confidence levels\, is the relevant sampling distribution (hence the term sampling theory). This results in violations of a principle known as the \;strong likelihood principle \;(SLP)\, or just the likelihood principle (LP)\, which says\, in effect\, that outcomes other than those observed are irrelevant for inferences within a statistical model. Now Allan Birnbaum was a frequentist (error statistician)\, but he found himself in a predicament: He seemed to have shown that the LP follows from uncontroversial frequentist principles! Bayesians\, such as Savage\, heralded his result as a &ldquo\;breakthrough in statistics&rdquo\;! But there&rsquo\;s a flaw in the &ldquo\;proof&rdquo\;\, and that&rsquo\;s what I aim to show in my presentation by means of 3 simple examples:.
\nAs in the last 9 years\, I will post an imaginary dialogue with Allan Birnbaum at the stroke of midnight\, New Year&rsquo\;s Eve\, on errorstatistics.com\, and this will be relevant for the talk.
ORGANIZER;CN=Deborah Mayo: METHOD:PUBLISH END:VEVENT END:VCALENDAR