Four or More Differing "test gestalts"
After my prior post, I had time to refine an arguably irreducible series of sets that would represent "Four Different Test Gestalts" (using the definition of test gestalt offered in my previous post: i. e., "how to simply describe a test for a Wellfed-like audio perception claim".)
Set No. 1: Dioigenes' set.
Concept to be verified = "black box no. 1". We need to know nothing about the black box. The test is summarized by him as being black/white "simple".
Set No. 2: Beleth's set:
Concept to be verified = 'audible differences between two CDs, one copied with a VERY lossy process' = "black box no. 2".
Set No. 3: Wellfed's set:
Concept to be verified = 'ill-defined generalities and convictions and conclusions, derived from sloppy test with fatal internal inconsistencies' = black box no. 3.
Set No. 4: PianoTeacher's suggested set:
Concept to be verified: 'narrowly defined "audible differences" determined by highly controlled narrow and repeatable test' = black box no. 4
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This is the situation as I see it presently.
Diogenes' set 1 is not my preferred set 4. Set 1 is arguably too simple, and incorrectly reduced since we have to define something about what is being examined and tested, by Wellfed, in black box no. 1.
Beleth's set 2 is tautological since her lossy process is always audible to all potential test subjects.
Wellfed's set 3 is simply out of the question; it has a a forgone conclusion built in because of its internal logical inconsistencies and lack of controls, in conflict with the need to define limits as well as Wellfed's predictable loss of concentration.
PianoTeacher's set 4 is something that I am not going to "judge". I leave that to peer review. All I am prepared to do is (a) try to define it as I've done, and reduce it as given above; (b) offer it for falsification; and (c) explain that it is different from the other sets. My own intrinsic sense of this is that it MAY arguably be more scientifically practical.
OTHER SETS
Among further sets of test gestalts we may reduce and propose, there is one I've described before, which also intrigued one other poster:
Carrier Test Set No. 5: data comparison of two CDs, one treated, the other untreated, by means of an automated algorithm independent of human aesthetic judgment and perception
[The description below is complex because it has never been discussed before by me, nor introduced into this forum.]
Analogue Difference Set No. 6: PianoTeacher's old "analogue era" stand-by: subtracting the electrical analogue differences.
The treated CD has asserted "added value" and if true, must contain more information than the unreated CD.
For the purposes of simplicity, I will only use 1 pair of CDs in order to make this explanation intelligible. We will have "CD A" - treated; and "CD B" - untreated.
Baseline No. 1 -- equipment baseline -- is established that controls for equipment noise and jitter.
Baseline Nos. 2 -- CD silence -- is established for each CD pair: a median value of silence determined by examining the noise levels of disks CD A and CD B.
Using an audio matrix circuit, the difference signal between CD B and CD A, is extracted by means of subtraction. Electrically, this is expressed as:
primary difference = CD A - CD B.
That difference signal is then further treated by subtracting the Baseline No. 1 (equipment noise) and Baseline 2 (CD silence), from the difference signal derived by subtraction of CD B from CD A.
secondary difference(1) = primary difference - Baseline 1 . [equipment noise control]
secondary difference(2) = secondary difference(1) - Baseline 2. [actual audio difference signal, minus common equipment noise]
For simplicity, we then define secondary difference(2) to be "evidence".
Here's the sticky part: a judgment must be made about the amplitude of the difference signal, "evidence", to determine if it is "noise" or "signal" and whether it is random or has musical coherency; and if it is "significant" and sufficient to PROVE a difference between CD A and CD B.
However, if the test is well controlled using ONE control CD player and ONE set of electrical circuits and measurement instruments, and two CDs, controlling for limits of resolution, the "judgment" may be quantified, and argued against standards that may be agreed on.
As you can see, this protocol is hard to reduce to a satisfactory simplicity for achieving a "black/white" simple test; but it IS, electrically and realistically, with respect to human cognitions, able to reify a practical "difference". I doubt that JREF will bet a million bucks on this, because of the irremediable conflicts in debating "significant distinctions" in deciding the "content" of the evidence.
Set 6 is, however, the kind of test that "objective rationalist skeptical audio engineers" would like to do, in a defined context.
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There are other sets, too. Some of the ones I have described, above, tend to produce useful results; others produce no useful results; and I see no identical and comparable results in a meta-comparison.
I do hope that tends to give substance to my argument that Diogenes' set is improperly reduced. His "undefined black box 1" -- irrespective of either audio or Wellfed's neural response and reliability -- has no significance in a test of Wellfed's claim.
PianoTeacher