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Stat Med. 1996 May 30;15(10):1059-63.

On the distribution of the unpaired t-statistic with paired data.

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National Heart, Lung, and Blood Institute, II Rockledge Center, Bethesda, MD 20892, USA.


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 alpha regardless of the sample size. I provide a formula to use in computation of power and type I error rate.

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