Easy way; if you can get a long wire back to the amplifier, then put a similar speaker wired properly in a sealed box with an on/off switch, to carry with you. Walk next to a speaker you want to test playing the same tone from the same amplifier through both the ceiling speaker and the speaker in the box. With your head about half way between them, turn the box speaker on and off. If both speakers on is louder, the ceiling speaker is wired properly. If both speakers on gets really quiet, the ceiling speaker is wired backwards.
If you want to get complicated; I can't remember what it's called, but a company used to make speakers with a coil on top to sense cone movement. This was connected back to the amplifier for feedback. The amplifier would compare the feedback to its input signal and try to adjust its output so the feedback would more closely match the input signal, for more accurate sound. I can't remember the product name or the company, maybe Alphasonik? Anyway, maybe you could come up with something similar. A little coil you could hold up to the center of the speaker (over the voice coil) while a tone is playing. On a scope compare the feedback from your coil to the input signal to the amplifier to see if they're in our out of phase.