Yes, you can hear a difference! (but it is really hard to measure)
See http://www.aes.org/e-lib/browse.cfm?elib=18296 for the June 2016 Open Access article in the Journal of the Audio Engineering Society on “A meta-analysis of high resolution audio perceptual evaluation”
For years, I’ve been hearing people in the audio engineering community arguing over whether or not it makes any difference to record, mix and playback better than CD quality (44.1 kHz, 16 bit) or better than production quality (48 kHz, 16 bit) audio. Some people swear they can hear a difference, others have stories about someone they met who could always pick out the differences, others say they’re all just fooling themselves. A few people could mention a study or two that supported their side, but the arguments didn’t seem to ever get resolved.
Then, a bit more than a year ago I was at a dinner party where a guy sitting across from me was about to complete his PhD in meta-analysis. Meta-analysis? I’d never heard of it. But the concept, analysing and synthesising the results of many studies to get a more definitive answer and gain more insights and knowledge, really intrigued me. So it was about time that someone tried this on the question of perception of hi-res audio.
Unfortunately, no one I asked was willing to get involved. A couple of experts thought there couldn’t be enough data out there to do the meta-analysis. A couple more thought that the type of studies (not your typical clinical trial with experimental and control groups) couldn’t be analysed using the established statistical approaches in meta-analysis. So, I had to do it myself. This also meant I had to be extra careful, and seek out as much advice as possible, since no one was looking over my shoulder to tell me when I was wrong or stupid.
The process was fascinating. The more I looked, the more I uncovered studies of high resolution audio perception. And my main approach for finding them (start with a few main papers, then look at everyone they cited and everyone who cited them, and repeat with any further interesting papers found), was not mentioned in the guidance to meta-analysis that I read. Then getting the data was interesting. Some researchers had it all prepared in handy, well-labelled spreadsheets, one other found it in an old filing cabinet, one had never kept it at all! And for some data, I had to write little programs to reverse engineer the raw data from T values for trials with finite outcomes.
Formal meta-analysis techniques could be applied, and I gained a strong appreciation for both the maths behind them, and the general guidance that helps ensure rigour and helps avoid bias in the meta-study, But the results, in a few places, disagreed with what is typical. The potential biases in the studies seemed to occur more often with those that did not reject the null hypothesis, i.e., those that found no evidence for discriminating between high resolution and CD quality audio. Evidence of publication bias seemed to mostly go away if one put the studies into subgroups. And use of binomial probabilities allowed the statistical approaches in meta-analysis to be applied to studies where there was not a control group (‘no effect’ can be determined just from binomial probabilities).
The end result was that people could, sometimes, perceive the difference between hi-res and CD audio. But they needed to be trained and the test needed to be carefully designed. And it was nice to see that the experiments and analysis were generally a little better today than in the past, so research is advancing. Still, most tests had some biases towards false negatives. So perhaps, careful experiments, incorporating all the best approaches, may show this perception even more strongly.
Meta-analysis is truly fascinating, and audio engineering, psychoacoustics, music technology and related fields need more of it.