A(x) is distributed as a Maxwell-Boltzmann distribution with scale parameter alpha_a; B(x) is distributed as a Maxwell-Boltzmann distribution with scale parameter alpha_b.

Our experiment measures A(x_i) and B(x_i) for each subject.

Is there a standard test for testing the null hypothesis: alpha_a = alpha_b ?

Note 1: Ideally, because the subjects under each process are the same subjects, this would be a paired test.

Note 2: The reason we are testing that specific null hypothesis is that the scale parameter corresponds to a meaningful error in our process, and we are trying to compare the error from A to the error from B.

Thank you,

Eli Gibson