[EMAIL PROTECTED] (Paul R Swank) wrote in message 
news:<[EMAIL PROTECTED]>...
> And doing a Pearson Coorelation and a t-test doesn't tell you the overall
> impact of the error.

Let X and Y denote the two tests -- test-retest, alternate forms/raters,
whatever. Then a measure of the "total impact" of unreliability is the
mean square difference, E(X-Y)^2, which may be decomposed as follows:

E(X-Y)^2 = (Mx-My)^2 + (Sx-Sy)^2 + 2*Sx*Sy(1-Rxy),

in which the three components are easily calculated and compared,
and are due to a difference in level, a difference in spread,
and lack of correlation.
.
.
=================================================================
Instructions for joining and leaving this list, remarks about the
problem of INAPPROPRIATE MESSAGES, and archives are available at:
.                  http://jse.stat.ncsu.edu/                    .
=================================================================

Reply via email to