What buzzp described gives you phase delay, not error thru the amplifier. Phase error is how this delay changes with signal frequency. Interlated with something called phase margin.
If the amplifier in question is an op-amp, just look at a datasheet to get the information. Otherwise, make the measurement as buzzp described in increments over the band of frequencies you will be using the amplifier over. Make a plot of the change in phase delay versus frequency to get phase error. If you are only working at very low frequencies, the change in phase delay may be small enough to not matter. For example, if you are using an amplifier with a 1 megahertz bandwidth, just to amplify audio, don't worry about it.
Hope this helps.
Lewis