Doctor CamNC4Me wrote: ↑Fri Sep 17, 2021 8:25 pm
1. I can't demonstrate statistically that the things I treat as independent are actually independent, to the point where a statistician would say "yes, independence has been demonstrated."
2. In cases where it's not feasible to demonstrate that two things are independent, it is permissable to assume that they're independent, provided there is no logical or conceptual reason for why they should be dependent. For the kind of exploratory thought-experiment I'm attempting here, I'm confident that a great many statistical experts would back me up on this.
For the more learned among us, #1’s highlighted portion. What is that? Is that common among folks using Bayesian analysis to just up and designate something as ‘impossible to demonstrate as independent’, so you just call it independent any way because you just do? That strikes this lay person as really, really problematic.
with regard to #2’s highlighted portion, is the first sentence in #2 something ‘a great many statistical experts’ do?
- Doc
He's hypothesizing about earning professional approval for work he hasn't even done. (!!!) While Kyler does make a qualitative case for independence among a few
obviously independent processes, he fails to do so for an overwhelming majority of his probability functions.
Greater N means more work to argue independence. To multiply N probabilities you need to establish -- qualitatively or quantitatively -- statistical independence between N * (N-1) / 2 unique pairs of variables.
For 23 episodes, that's at minimum 253 paired instances of Bayesian functions for which Kyler has to take time to articulate a basis for assuming statistical independence. So yes, Kyler is theorizing about approval from "a great many statistical experts" (whatever the hell that means) for work he hasn't even bothered doing. Not with data AND/OR with well-reasoned arguments.
Notably, he's never addressed the obvious common, correlated, causal factor which is the mind, imagination, memory and creativity of Joseph Smith, whose influence cannot be mathematically uncorrelated from Kyler's Bayesians. It's laziness or intellectual dishonesty the way Kyler pretends at academic rigor while skipping the most essential steps in the recipe.