✦ LIBER ✦

ON THE DISTRIBUTION OF THE UNPAIRED t-STATISTIC WITH PAIRED DATA

✍ Scribed by MICHAEL A. PROSCHAN

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 318 KB
Volume: 15
Category: Article
ISSN: 0277-6715
DOI: 10.1002/(sici)1097-0258(19960530)15:10<1059::aid-sim219>3.0.co;2-2

No coin nor oath required. For personal study only.

✦ Synopsis

I derive the exact distribution of the unpaired t-statistic computed when the data actually come from a paired design. I use this to prove a result Diehr et al. obtained by simulation, namely that the type I error rate of this procedure is no greater than a regardless of the sample size. I provide a formula to use in computation of power and type I error rate.

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