"Majorizing measures provide bounds for the supremum of stochastic processes. They represent the most general possible form of the chaining argument".
Michel Talagrand, 1996, https://projecteuclid.org/journals/annals-of-probability/volume-24/issue-3/Majorizing-measures-the-generic-chaining/10.1214/aop/1065725175.full
#geometry #theorem #probability #maths #mathematics #Talagrand #data #bigData #chaining #ML #AbelPrize #Abel
In 2016, the American Statistical Association #ASA made a formal statement that "a p-value, or statistical significance, does not measure the size of an effect or the importance of a result".
It also stated that "p-values do not measure the probability that the studied hypothesis is true, or the probability that the data were produced by random chance alone".
#nullHypothesis #probabilities #probability #maths #mathematics #vectors #data #bigData #matrices #ML #distributions #stats #statistics
@maugendre P-values are abused far and wide. This has reminded me that I should add "ranting about p-values" to the list of things I rant about to high school maths and physics textbook publishers, teachers, curriculum writers and exam setters.
😀
There even wikipedia on the "Misuse of p-values": https://en.wikipedia.org/wiki/Misuse_of_p-values
I therefore am adding to my guidelines: "Instead of telling researchers what they want to know, statisticians should teach researchers which questions they can ask. […]
Before we can improve our statistical inferences, we need to improve our statistical questions."
Excerpt from Daniël Lakens (2021) https://journals.sagepub.com/doi/10.1177/1745691620958012
#quotes #nullHypothesis #probability #math #pValues #maths #AIEthics #ML #statistics
