Quote:
Originally Posted by PhilS  Was precisely is compatible with chance? The number who could detect out of the large number of participants?
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The fact that three listening tests among 145 got a good score can be pure chance.
However, the score of the fourth one, who got 20/20, is so unlikely (one chance out of one million) that even after 145 tests, it remains a strong success.
Quote:
Originally Posted by PhilS Would it be compatible with chance that they all happened to be the ones using headphones?
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Difficult to tell. There were other factors than headphones, like sex, age, occupation (related to music), or musical sample chosen. Paradoxically, the more we have information, the more likely we are to find one factor where scores are better. This is because our analysis is done after the raw results are published, and we are considering situations that were not supposed to be the subject of the statistical analysis to begin with.
To get proper results, a statistical model or simulation would have needed to be done
before the test in order to include all these factors, and clearly define minimal scores for each of them.
Now, a good way to answer the question would be to perform audibility tests with the same speakers and headphones, and see if people hear higher frequencies with these headphones. If so, it would be a good indication that the use of headphones were a relevant factor in the success of those 4 listeners.
