Tbg, I'm afraid I hope you're more clear (and relevant, I dare say) with your students...
From what I can tell though, you've got at least one thing basically wrong there:
This is a different question than whether whatever the clock may do is 'good' or 'bad', which is a subjective judgement, and not important as to whether the thing can be *detected*. For illustration, I just flipped a coin 30 times, twice. The first set of 30 I got a 17/13 split, the second set a 16/14 split. Whether the splits favored heads or tails is unimportant (as it happens, it was one of each), the relevant point is that my splits only deviated from the mean of 15 by 1 or 2, strongly indicating random outcomes.
From what I can tell though, you've got at least one thing basically wrong there:
"I am merely saying that such tests may not be a valid method to prove or disprove whether the CLC does anything"To me this isn't correct. If enough trials are run, with the clock randomly inserted or removed from the listening environment without the subject seeing which condition it is (I think at least 30 trials would be preferable, which could be divided between 2 or 3 different sessions on different days), its absence or presence should be correctly reported at a rate significantly higher than just 50/50 chance if it's actually doing anything like what the believers maintain. If on the other hand the results hewed pretty close an even 50/50 split, it would be strongly indicative that nothing is audible.
This is a different question than whether whatever the clock may do is 'good' or 'bad', which is a subjective judgement, and not important as to whether the thing can be *detected*. For illustration, I just flipped a coin 30 times, twice. The first set of 30 I got a 17/13 split, the second set a 16/14 split. Whether the splits favored heads or tails is unimportant (as it happens, it was one of each), the relevant point is that my splits only deviated from the mean of 15 by 1 or 2, strongly indicating random outcomes.