As well as many people not knowing the angular size of the moon, most people have even less of an idea how 'bright' the moon is.
Best done later in the afternoon with the sun behind you down fairly low (20 deg or so above the horizon) and the moon 20 deg above the opposite horizon, get a sheet of white paper and hold it up so that the moon is just off to the side of it and the sun is illuminating them both. (Not that you have much control over the moon!)
Which is brighter? The moon or the paper? Is the moon white, light grey, medium grey or dark grey?
The moon is actually very, very dark grey. It's albedo is 8.6% as compared to paper at about 95%.
Here's a 8.6% circle on a white background...
Also I'm surprised that people would discuss whether the moon's angular size is bigger or not when it's rising or setting than at other times - get outside with your camera and 'scope and take a few photos and you will soon learn if its true or not! I thought you people were astronomers!