To simplify matters from here on, a notation system will be used
in which the mean r_{xx} and r_{yy} will be denoted
as a and b respectively and the variance of the two reliabilities
will be denoted as s^{2}_{a} and s^{2}_{b}.
Similarly the mean range departure is denoted as c and its variance as s^{2}_{c}.
Given these statistics, the sample weighted mean r, corrected error
variance, a, b, c, and the variances for the mean reliabilities and the
range departures, the relationship within the population (rho) can be estimated.
First, correct the sample weighted mean r for measurement error and
range departure using the following formula:
