There are a bunch of online tests that help you see if you, with your ears and equipment, can tell the difference. http://abx.digitalfeed.net/ and http://abx.digitalfeed.net/list.lame.html was on HN some time ago, for example. I'm not sure if any of them collect stats though.

I have an abx website as a side project.

Feel free to make one or take an existing one like https://abx.funkybits.fr/test/the-eagles-hell-freezes-over-h...