I may be using the term incorrectly. Generally when I read about compression, it’s not thermal. This may be due to the fact that I don't read or do much with professional level gear, in which this is a major concern. Thermal compression can be seen with tone bursts, and you can see that after the first couple of cycles the output drops remarkably.
"Static" or common compression is measured by comparing the FR at 2 different input levels. Find your level for 70 dB at 1kHz. Measure the FR. Add 20 dB of input voltage. Measure FR. The output should be +20dB everywhere. Wherever the output is NOT +20 dB is evidence of compression.
Thermal compression is caused by heat, and therefore it’s effects are changing with previous input. What I’m calling "static" compression is related more to the limits of the driver’s linear travel.
Look at the "Deviation from linearity" charts. Here is a speaker with excellent "linearity" or lack of compression:
http://www.soundstagenetwork.com/measurements/speakers/paradigm_studio10_v5/
And here is one with relatively poor linearity:
http://www.soundstagenetwork.com/index.php?option=com_content&view=article&id=1564:nrc-measu...
Best,
E