Today is Allan Birnbaum’s Birthday. Birnbaum’s (1962) classic “On the Foundations of Statistical Inference,” in Breakthroughs in Statistics (volume I 1993), concerns a principle that remains at the heart of today’s controversies in statistics–even if it isn’t obvious at first: the Likelihood Principle (LP) (also called the strong likelihood Principle SLP, to distinguish it from the weak LP ). According to the LP/SLP, given the statistical model, the information from the data are fully contained in the likelihood ratio. Thus, properties of the sampling distribution of the test statistic vanish (as I put it in my slides from this post)! But error probabilities are all properties of the sampling distribution. Thus, embracing the LP (SLP) blocks our error statistician’s direct ways of taking into account “biasing selection effects” (slide #10). [Posted earlier here.] Interesting, as seen in a 2018 post on Neyman, Neyman did discuss this paper, but had an odd reaction that I’m not sure I understand. (Check it out.) Continue reading
MONTHLY MEMORY LANE: 3 years ago: May 2015. I mark in red 3-4 posts from each month that seem most apt for general background on key issues in this blog, excluding those reblogged recently. Posts that are part of a “unit” or a group count as one, as in the case of 5/16, 5/19 and 5/24.
- 05/04 Spurious Correlations: Death by getting tangled in bedsheets and the consumption of cheese! (Aris Spanos)
- 05/08 What really defies common sense (Msc kvetch on rejected posts)
- 05/09 Stephen Senn: Double Jeopardy?: Judge Jeffreys Upholds the Law (sequel to the pathetic P-value)
- 05/16 “Error statistical modeling and inference: Where methodology meets ontology” A. Spanos and D. Mayo
- 05/19 Workshop on Replication in the Sciences: Society for Philosophy and Psychology: (2nd part of double header)
- 05/24 From our “Philosophy of Statistics” session: APS 2015 convention
- 05/27 “Intentions” is the new code word for “error probabilities”: Allan Birnbaum’s Birthday
- 05/30 3 YEARS AGO (MAY 2012): Saturday Night Memory Lane
 Monthly memory lanes began at the blog’s 3-year anniversary in Sept, 2014.
I regret being away from blogging as of late (yes, the last bit of proofing on the book): I shall return soon! Send me stuff to post of yours or items of interest in the mean time.