Thank you sir.The clarity test would be the most important - basically you project a test pattern through the lenses onto a screen and compare the clarity to the projection without lenses.
There's also the refractive power test, which tests for distorting magnification, and the prism test, which uses lasers to test how the lenses bend light from their true position.
An independent 3rd party optician can perform at least the clarity test. And the results carry more weight when coming from an impartial source.