Inject a measured value of DC current through the contact in question. Measure the voltage developed across the contacts and other components in the primary power path. The more current, the higher the voltage you measure. It's that Ohm's Law thing. Typical measurement currents are 10 and 100 amps.
The "DC" thing is to make sure you're measuring just the resistive component of the circuit impedance. Using AC, the voltage drop contains both resistive and reactive components, and a significant change in resistance could be masked by a large reactive component.
Or use a DLRO (digital low resistance ohmmeter). Several companies manufacture them and they're made for this type of measurement.
Or call your friendly local testing company and have them drag their equipment out and test the circuit for you.
I'm not being flippant here, but there are a few tricks to determining exactly what's going on with a questionable reading.
old field guy