Test-retest reliability query

John Reece (reece@eos.xx.rmit.EDU.AU)
Sun, 11 Sep 94 23:01:48 EDT


A student has been referred to me with a query regarding test-retest
reliability and, frankly, it has me stumped.

I have always used good old-fashioned Pearson's r to establish test-retest
reliability; i.e. correlate first administration scores with second
administration scores. This student threw a reference at me arguing that
Pearson's, which he called an *inter*class correlation, was inappropriate
for this. The author recommended repeated measures ANOVA, and then
provided a formula for estimating R from the ANOVA results. This he called
an *intra*class correlation. The formula was:

R = (MS - MS )/ MS
Subjects Residual Subjects

To add to the confusion, the student showed me an SPSS print-out with the
repeated measures ANOVA and a Cronbach's alpha. I dismissed the Cronbach's
as irrelevant, given that internal consistency was not the issue, but when
I calculated the R using the above formula by hand, it turned out to be the
same as the Cronbach's.

I have never seen this stuff before. Is this approach common? Is it
valid? What does it all mean? Any info appreciated.

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