Before revision: The estimated correlation between two sets of estimates is which, assuming the errors are uncorrelated with each other and with the estimates , gives where is the separation index of the set of estimates of , which is analogous to Cronbach's alpha; that is, in terms of classical test theory, is analogous to a reliability coefficient.
After revision: The estimated correlation between two sets of true attribute values is which, assuming the errors are uncorrelated with each other and with the estimates , gives where is the separation index of the set of estimates of , which is analogous to Cronbach's alpha; that is, in terms of classical test theory, is analogous to a reliability coefficient.