The bounce test is a good test for starters.
Again, the forum has a memory of a gold fish. I has posted this too many times. It should be stickied somewhere.
Read the sports section there. The specifications for TT balls is given.
A metal plate is used because it doesn't absorb much energy.
https://en.wikipedia.org/wiki/Coefficient_of_restitution
But the OP is talking about rubbers not balls.
Again I would use a metal plate and a steel bearing that weighs the same amount as a TT ball and bounce the bearing off the rubber mounted on a steel plate. I would use a steel bearing for two reasons.
One, it won't deform and absorb energy like a TT ball would.
Two, it won be affected by wind resistance as much as a TT ball.
This means that only the TT rubber will absorb energy and affect the bounce.
The height of the bounce is related to the speed of the ball. Kinetic energy is (1/2)*m*v^2 and potential energy is mgh so it is easy to compute the normal COR based on the square root of the ratio if the rebound height to the initial height.
Measuring the tangent COR is a bit trickier. I would drop TT balls on a rubber moving horizontally using a motion controller ( I sell those ). The ball will not bounce straight up but the horizontal friction and springiness of the rubber will also cause the ball to move horizontally too. If the platform is moving horizontally at 5 m/s and the ball is moving .25 m/s horizontally after impact then the tangential COR is 0.5.
We are not calibrated machines but we can build one. The TT manufacturers don't care. If they did they would post true normal and tangential COR numbers. Also, these numbers would change as the thickness of the rubber changes.
Air resistance does play a part. Air resistance can be accounted for but it requires messing around with non-linear differential equations. A TT ball's speed will drop by about one half after 5 meters of travel. Yes, I did the simulation use non-linear differential equations. Until I retired I did this all the time.
How we perceive is irrelevant to the actual facts. So many times the customer will tell me this or that is happening after after looking at the data from a recording device they can see what they that was happening isn't what is actually happening. This is why we have high speed cameras and are able to capture motion do sub millisecond levels.
Marketing overrules truth.
The ball only care about the impulse imparted on it. It doesn't care what rubber or stroke made the impulse.
Nothing is going to change after 2-3 meters because of the rubber. There is just wind resistance, gravity, viscosity and the Magnus force.