There is a clear logical fallacy of false syllogism occurring here.
The tests so far have been:
There is a claim that poor audio equipment can benefit,
Here is a poor bit of equipment,
It didn't benefit,
Therefore, there do not exist any examples of equipment that can benefit.
This is junk, and the sort of crap arguments I would expect from the audiophool community.
Suddenly from this being a scientific exercise in measurement it has become one where the burden of proof is now on others to disprove the above fallacy of logic. In a science based forum this is depressing. Science has some serious problems in recent times, the reproducibility crisis being uppermost. Lets try not to go down the same path, and hold ourselves to a higher standard.
Once again, you are mischaracterizing the argument you're taking issue with. There's nothing unscientific about inductive hypotheses, so long as they remain hypotheses and not assertions.
The hypothesis is that the vast majority of audio equipment cannot in fact benefit from these AC cleaners, because - as
@amirm has said in multiple places with admirable clarity - equipment already has to have plenty of internal AC filtering in order to simply perform at an acceptable level given how dirty most municipal power and household circuits can be.
Your complaint is simply that for such a hypothesis to be considered provisionally valid, we have to test N number of pieces of equipment, and Amir hasn't yet tested a large enough N. (And if you are tempted to say, "No, it's not the number it's the
type of equipment, kindly don't - part of the problem with
your logic here is that you're ruling out equipment as not proper examples
after and based on the fact that the cleaners had no effect when Amir tested those examples.)
As noted in my prior response to you, I will be the first to agree that the current N=3 is not enough - and I'm sure many others here will too.
However, what
you are not acknowledging is that Amir's tests of the two tube DACs have already altered and severely narrowed the definition of what counts as "poor" equipment for the purposes of trying to find a case where an AC cleaner makes a measurable difference. There is no reason to believe that these tube DACs have exceptional, special, or top-of-class AC filtering. All indications are that their internal filtering is garden-variety. And the AC cleaners make zero difference with them. Their high distortion is irrelevant, because as I noted in my last comment, there's plenty of AC-induced junk in the signal below the 1kHz test signal, which would be visibly changed on the graph had the AC cleaners done anything.
Put more simply, the burden is not on Amir or anyone else to prove that AC cleaners don't work by testing potentially 100s of pieces of gear to rule out a black swan that benefits. The burden is on the vendors of these cleaners to show something other than measurements of how the cleaners filter AC coming in from the wall socket. Unless or until they supply graphs of the output of audio equipment connected to them, which show significant measured differences in the audio equipment's output with vs without the cleaner in the chain, the rational presumption is that the cleaners don't work. You can't try to force Amir to prove a negative and then chide him and others for a logical fallacy.
Sorry to all those reading this to repeat myself, but once again what you're arguing for here is "poor in the precise right kind of way" equipment. That type of equipment might very well exist - and there might be many examples of it across different product categories from various manufacturers. But so far we've seen no evidence of it.
This isn't the 3x+1 problem in math (
https://en.wikipedia.org/wiki/Collatz_conjecture), where the N number of examples you have to check in order to be reasonably confident of the truth (albeit still not achieving 100% mathematical proof) is in the quadrillions. The electrical and electronic characteristics and performance of typical AC filtering in audio equipment is well known - Amir doesn't keep writing that gear already has sufficient internal filtering because he's wildly speculating or guessing. There's sufficient evidence for a strong presumption in favor of Amir's statement in this regard - and the three DACs he tested is in addition to that. It's not like we were starting from 50-50 "who knows" territory before he tested them.