What is the best correlation method?

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Hello everyone, normally in my workplace exchanges of programs between different cmm or measurement equipment are experienced and being honest I have not found the best method to document these practices as well as to establish the best limit of correlation between the measurement equipment, in last days I found that the statistical control tool has a so-called "Dispersion Analysis" and offers something called "Pearson Coefficient" which provides a data indicating the strength of the correlation between two variables, does anyone have a method to document the correlation between different measuring equipment?