Phase is used to mean different things. The signal reversal that ronkent mentions is actually polarity, where the entire signal is switched plus for minus. That is straightforward to troubleshoot. Put a 4 volt DC signal way up front in your signal chain and your speakers should push forward into the room. (except that some crossover types push some and pull the others. So, use the woofer as your guide.) The "button test" identifies whether the recording is right or backwards. This is also polarity (called absolute phase). Proper polarity will sound focused and reversed polarity will sound diffused. Negative polarity is now generally considered an error, but it happens.
The stuff I am talking about references the phase relationships among the harmonic structure of the signal. That's a real rat's nest which the user can't unscramble. Those ratty problems are generally ameliorated by speakers which scramble phase - higher order networks are already asking your brain to unscramble and there simply isn't enough processing power to further decode what's going on in the actual signal. Higher order networks are in that way forgiving - more recordings with more problems will sound better, or at least their evils will go unnoticed.
Please note that I recognize my opinions as being marginal. On a panel of audio engineering experts, I would be crucified or perhaps kindly tolerated. However, on a panel of aural neuroscientists, I would get at least polite inquiries regarding my observations.