Just to add my $0.02. I spent the day getting some nasty scratches out of my monitor plexi. Some of the scratches were quite deep: I could feel 'em with my fingernail.
I tried a while ago using Novus #3, #2, and #1. This didn't work too well. Today I tried using sandpaper first, and it worked great! I bought some 600, 800, and 1200 grit at a local boat supply store. Use the sandpaper starting with 600, to get the scratches out completely. I used a little water to do a wet sand. It may take a while to get the scratch out if it is deep. I wish I had 400 grit paper, too, since one of my deeper scratches took a *lot* of elbow grease with the 600. The plexi will haze or frost, but this is ok. That's what the Novus #3 is for. I actually only used the 800 on one of the scratches. And one of the scratches I skipped the 1200, too, only using the 600 and it worked out ok. Using the 1200 seemed to produce a nicer result before going to the Novus, so I used it on the rest. I'd be interested to here other's opinions on whether 1200 grit is necessary.
Ok, after the scratch has been completely sanded out, you should be left with a frosty, smooth section on your plexi. It's now time to take the haze out. Break out the Novus #3 and keep polishing until the the haze disappears. In some cases, I had to apply it 3 or 4 times with some heavy elbow grease to get the haze to go away. This is probably the toughest part of the whole thing and wish I had a power tool to help out. My arm is killing me! Note: I've heard using a Dremel for buffing is very bad as the RPM is way to high. I've heard you want about 2000 or 3000 RPM while buffing or you can melt the plexi and cause it to bubble. Dremels are 15,000 - 30,000 RPM. Anyhow, once you get the haze completely out with Novus #3, you can use #2 to take out the fine scratches that are left. You should have a clear, smooth, scratchless surface.
And after all this, voila! The scratches are gone. I successfully removed all my nasty scratches using this method. It's not perfect. Removing the scratches seems to create a slight lensing effect in some cases since the plexi is no longer perfectly flat and now curves a bit. But I'd rather have this than some of the scratches I had. To reduce this effect, you should sand only as deep as you need to go. One final obvious piece of advice.... do it on the right side! I was sanding away for a while on one scratch only to realize it was on the bottom of the plexi!
FWIW, I've heard Lexan is much tougher than plexi and that this method may not work with Lexan.
-Dave