Palelson, perhaps we just have a language difference. I would certainly concede that for a coin to be heads 15 out of twenty tosses is improbable. This probability is at the root of statistical inference which, of course, seeks to assess support for a hypothesis in the population from a sample. There is always the possibility that the sample is unrepresentative and that we might wrongly reject the null hypothesis when it is actually true.
I just think the proper hypothesis should be that a sample of people can hear a difference between cables or amps. The null hypothesis is that they cannot.
It would be very difficult with a sample of one to achieve statistical significance, so you are apt to accept the null hypothesis. However, a sample of 25,000 would assure you statistical significance.
I am only concerned that the choice of the sample size may be determined by what the researcher's intended finding might be. I think it is a far more interesting hypothesis to suggest that those with "better ears" would do better. I don't think most audiophile would be convinced or should be convinced that all amps or wires sound the same.
I just think the proper hypothesis should be that a sample of people can hear a difference between cables or amps. The null hypothesis is that they cannot.
It would be very difficult with a sample of one to achieve statistical significance, so you are apt to accept the null hypothesis. However, a sample of 25,000 would assure you statistical significance.
I am only concerned that the choice of the sample size may be determined by what the researcher's intended finding might be. I think it is a far more interesting hypothesis to suggest that those with "better ears" would do better. I don't think most audiophile would be convinced or should be convinced that all amps or wires sound the same.