How well the variables are measured affects the correlation of X and Y. The correction for attenuation tells you what the correlation would be if you could measure X and Y with perfect reliability.
If and are taken to be imperfect measurements of underlying variables and with independent errors, then measures the true correlation between and .
The effect of mean and differential attenuation on the precision and accuracy of the estimates of reflectivity and differential reflectivity
Mar 01, 2003; (Manuscript received 18 February 2002, in final form 18 July 2002) ABSTRACT Error propagation analysis is applied to evaluate the...