Why do we keep playing with this sick puppy?
Hans
gypsy,If Jabba will answer (unless he already has) whether it is Roger Hoerl or Arthur Hoerl, it would be possible to contact Dr Hoerl as both have published their email addresses.
Not that I'm advocating winding up a professional.
gypsy,
- It's Roger Hoerl.
I went to the supermarket yesterday, and while walking I thought to myself -"this place is really a potential beef Wellington."
I never got an apology for being called stupid.
I never got an apology for being called stupid.
Why do we keep playing with this sick puppy?
Hans
1) Is the formula I'm using appropriate for determining the posterior probability of OOFLam?
- Dr Hoerl said that it is -- so hopefully, we can skip that sub-issue and move on to #2?
He does not agree with you. And you are so far unwilling to discuss his reservations with him. As with "Sally" we never seem to get anything from Dr. Hoerl that doesn't come through you, and doesn't end up sounding like it came from you. I don't believe you have been conversing with a professional statistician.
No, it is not the right formula. And, in fact, to phrase it in terms of "the right formula" is rather provincial. It is a line a hack Hollywood screenwriter would put in the mouth of a professor. It is the correct formula for computing a posterior probability, but this is not a posterior probability problem..
Because its entertaining in a sick way to see someone desperately squirming and playing silly games to try to convince himself he is smarter than the rest of us, and failing every time.
What makes you think there is a sense of the brain that cannot be reproduced?
Exactly. Dr. Hoerl may have stated the formula, in and of itself, is correct.
Jabba, is trying to equivocate the formula itself with his application of it. Once again it appears Jabba is being economical with the truth.
Jay,By which I assume you mean "numerical proctology," as I described it above.
It is by no means wrong to use estimates as priors in Bayesian analysis. It depends on what you want the analysis to show. Using a spectrum of estimates as priors is a common method of constructing decision trees to account for contingencies. However, this does nothing to validate the priors or justify a substitution for fact if fact is available. It simply shows what would be justifiable decisions from new facts and uncertain circumstances. If the priors are considered a distribution of estimated likelihood, as would be proper, then the result of iterating the model over given facts would be a new distribution -- not a single number.
Similarly, one may certainly encode a belief as a quantitative likelihood. This is a common method of constructing decision trees that mix belief and fact. However, the posterior probability distribution function -- even combined with fact that is later observed -- has absolutely no power to confirm the prior belief as fact. Bayesian analysis is not an invertible function -- this inescapable mathematical fact is the basis of the Prosecutor's Fallacy. The results of Bayesian analysis in this mode hold only insofar as the belief. It essentially places the belief beyond the realm of computation and shows only what would be justified, given new information, without questioning the belief. It has absolutely no value for someone who does not share the belief.
Neither of these cases constitutes in any way a proof of anything. The only way Bayesian analysis can be used as a proof is where the priors and parameters are measured facts. And the proof, in the form of posterior probability distributions, is only of a probability. In no way, under any circumstances, by any means, can a probabilistic argument be proof of an allegation of fact. That is, at its very heart, the sum total of Jabba's error.
I'll try to understand what you're saying, but I gotta do it slowly.
I'm suggesting a particular prior for H of .99. I'm willing to try a spectrum of possibilities. Do you have another, or others, to suggest?
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In no way, under any circumstances, by any means, can a probabilistic argument be proof of an allegation of fact.
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Jay,
- OK. I'll try to understand what you're saying, but I gotta do it slowly. I'm suggesting a particular prior for H of .99. I'm willing to try a spectrum of possibilities. Do you have another, or others, to suggest?