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In Reply to: RE: Levels of knowledge about cables posted by mike1127 on June 25, 2009 at 20:55:32
I'll start at the end. You are comparing an expensive Cardas cable to a Radio Shack cheapie. I have nothing against Radio Shack cheapies. I use them myself on my 2 subs. I like em actually.
But would any self-respecting golden-eared audiophile ever think that the Radio Shack was better than the Cardas? No, never. Me notwithstanding. So whatever prior statistical distribution you may have used for the Cardas and Radio Shack should have included golden-eared audiophiles, which you seem to be a part of. Which means you should have used a ONE-TAILED statistical distribution in evaluating it. In other words, the idea that Radio Shack was better than Cardas should have been ruled out beforehand. So any numbers without using this directional hypothesis are wrong.
Next, the permutation in which A and B are randomly assigned should be generated in an unbiased manner randomly. We just have your word here that this was true.
The total number of comparisons should be decided beforehand by a power analysis. Otherwise it is as you said, cherry-picking.
Are you evaluating "A is better than B", or "A is different than B"? See above, for the difference between one-tailed and two-tailed hypotheses.
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