garym;497977 Wrote:
> Aha! Now we're in the realm of hypothesis testing (and I agree that the
> null hypothesis in all of our discussions (other than yours perhaps) is
> that there is NO difference. And yes, many of us believe that the
> evidence does not support rejecting the null of no AUDIBLE differences.
> Of course now we can go down the path of which is more important here,
> Type I or Type II errors.
>
> All evidence suggests that I am a human being, born on earth. But there
> is a probability distribution (of some shape) surrounding this assertion
> and there is a tail, albeit extremely small, to this distribution where
> at some p-value I could reject the null hypothesis of me being human!
>
> This said, I can say that in my day job of 25 years, I publish
> scientific papers, and this discussion is starting to remind me of
> certain journal referee comments ("just because you can't prove it is
> related, does not mean it is not related under some circumstances" --
> robustness tests aside, there is no answer to this question. See, for
> example, the question: Does God exist?
Well, as you know, the null hypothesis can only be falsified. Never
proved. It is part of the theory.
You need a different framework if you want to prove equality. ;)
--
Themis
SB3 - North Star dac 192 - Cyrus 8xp - Sonus Faber Grand Piano Domus
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