Our system is tightly regulated by the People who Know Better. For example, the minimum thickness of a glass lens is set to break your nose, by law. So, nobody gets glass.
It's pretty easy to measure your own eyes to 0.1 diopters with a ruler, and a printed test pattern (and possibly a set of reading glasses, if you're far sighted). Just adjust your focal length to within arm's length with external lenses (if it isn't already there naturally), then slide the pattern up and down the ruler like a trombone to find the focal length.
You hold the ruler against the bridge of your nose, and add in the distance from there to the surface of your eye.
If you're astigmatic, you'll have to rotate the test pattern for best angle, note the angle, and measure at that angle and at 90 degrees to it too.
The optometrists here round off to 0.25 diopters, so it's dirt simple to best their accuracy. It's not really a fair fight--you can actually SEE, and they have to guess.
I can measure myself with 0.05 diopter repeatability.
Now I just tell the optometrist what my Rx is. They never believe me, but I'm always right.
Cheers, James Arthur (posted from a Droid tablet, as an experiment)