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HungryHippo comments on What Bayesianism taught me - LessWrong
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I'd just like to note that Bayes' Rule is one of the first and simplest theorems you prove in introductory statistics classes after you have written down the preliminary definitions/axioms of probability. It's literally taught and expected that you are comfortable using it after the first or second week of classes.
I have never been taught Bayes' theorem in statistics classes.
And, presumably, you have taken an introductory statistics class? Hm. Probably in high school, and then in college (assuming you've been) you skipped the introductory class and took one with only T-tests etc. and no counting problems? Seems like the most likely way to miss learning Bayes' theorem and still make that statement.
Bayes' Theorem is taught in High-School here, at all levels of math.
Where is "here"? I didn't encounter Bayes' Rule in an academic setting until I took a finite maths class at university (in Arizona, US).
Edit: Well, actually I was recommended a book called Choice and Chance by Brian Skyrms by a philosophy professor which explicitly teaches it in the context of Bayesian epistemology, but that was the result of out-of-class conversation and was not related to any particular course I was taking. BTW, I whole-heartedly recommend the book as an introduction to inductive logic.
By "here," I meant Israel.
A data point from me as well:
At my university, I learned Bayes' theorem in both my Intro to Statistics class (there was a whole section on Bayesian probability), and in my AI class.
Data point - in my intro stats course (at college), 'Bayes Theorem' was never explicitly taught, but you get all the probability required and are given Bayes-like problems (that I explicitly used Bayes' to solve) - they just never put an intimidating theorem on the board.
This may or may not be standard in intro stats courses
In the CMU OLI course on statistics, Bayes Theorem is presented late on in the course, very briefly, and as restricted to simple population sampling; it's very easy to see how someone taking it could forget about it the day after doing the problems.
I have had no choice over my classes and the statistics classes at university I had as a part of my program taught us from the very basics (and I've had 4 times more statistics classes than any other class as a part of my program except for research methods). I studied Psychology in the UK.
I'd like to add that if the curriculum has a distinction between "probability" and "statistics", it is taught in the "probability" class. Much later, the statistics class has "frequentist" part and "bayesian" part.