# Testing the independence of the experimental series from a certain parameter

I have the following question. I have a number of experiments for different materials (see the picture in the attachment). The results of these experiments seem to be independent from material parameters, or put otherwise they obey the same trend and so far from each other.

How can I prove that the results are material independent? Or that the results of experiments are the same? What is the measure of these parameters?

If it's important to mention, I use JMP for analysis.

You can fit a linear regression model with material and bending angle as factors and c as the response (under Analyze > Fit Model in JMP). Among other things, you'll get p-values representing the strength of the "independence" as I think you're using the term. It's not "proof", but conventionally p-values less than 0.05 are taken as strong evidence against such "independence".