bobobird, I have been trying to follow this discussion between John Sheehy and yourself, and frankly I am having a hard time even trying to interpret the specifics of the testing that John has suggested to you. So let me offer this instead, so you can comprehend the concepts of Signal and Noise ratios.
Let us first start with the understanding that all electronic circuitry has inherent 'noise' within, and ordinarily the signal being measured or amplified is high enough make that noise effectively 'invisible'.
Next, let us also stipulate that the ISO value which the camera processor is set to amplifies the signal BUT also the inherent noise.
The result is that ordinarily as the light levels drop and we increase the ISO value of the camera, the signal:noise ratio declines.
This scenario is shown in the upper half of this chart. Note the declining signal:noise levels in row 9. The problem with the above scenario is that the number of photos striking the sensor are dropping (with with lowered light levels of the scene), so the ratio of photons to inherent noise is dropping as well...we are not truly comparing inherent noise of different ISO levels.

John Sheehy is perhaps (my own interpretation of his hard-to-follow proposal) suggesting that you keep the level of ambient light fixed (Row 15 values), and keep the total number of photons striking the sensor at the identical level. That scenario is depicted in the lower half of the chart above. Note that the signal:noise ratio is identical across all ISO values in Row 19 of the chart.
But the problem of this specific test scenario is that the AMPLIFICATION is also changing, and the result is that the 'proper exposure' is NOT being kept the same as a result. We are deviating from 'proper exposure' for that ISO value, as shown with the values in Rows 21+22. We have UNDERexposure at the low end of the ISO range while we have OVERexposure at the high end of the ISO range, as depicted in Row 23 of the chart.
I am, nevertheless, failing to grasp the logic which he presents, that it is better to shoot at higher ISO than at lower ISO. "The point is not that 1600 is a better ISO to shoot at; the point is that if your chosen manual exposure doesn't blow highlights at 1600, you will be better off set to 1600 than something lower."