The Pearson Correlation documents that the scores are in the same relative
order over time and the paired t-test determines if there is a shift in
means. A more direct approach is to use a generalizability analysis where
the relative error ICC is the reliability ignoring mean differences and the
absolute plus relative error ICC takes into account both.

Brennan, R.L. (1983). Elements of generalizability theory. Iowa City, IA:
ACT Publications.

Cronbach, L.J., Gleser, G.C., Nanda, H., & Rajaratnam, N. (1972). The
dependability of behavioral measurement: Theory of generalizability for
scores and profiles. New York: John Wiley & Sons, Inc. (Cronbach, Gleser,
Nanda, & Rajaratnam, 1972).


Paul R. Swank, Ph.D. 
Professor, Developmental Pediatrics
Medical School
UT Health Science Center at Houston 


-----Original Message-----
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On
Behalf Of Richard Hoenes
Sent: Monday, May 10, 2004 1:52 PM
To: [EMAIL PROTECTED]
Subject: [edstat] paired t-test for test-retest reliability reference?


I submitted a paper that used a Pearson correlation and a paired t-test to
estimate test-retest reliability.  The journal has a new statistician who
first had me remove that Pearson correlation as unnecessary and who now
wants a reference for using a paired t-test as a measure of test-retest
reliability.  Of course, I can find other papers that use a paired t-test
for a test-retest measure but I cannot find an actual reference that says it
is valid.  Any help would be appreciated. . .
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