Abstract
SUMMARY A statistic is proposed for testing the hypothesis of equality of the means of a bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing at random on one of the variates. Expressions for the second and fourth moments of the statistic have been obtained, and normal, t and Cornish-Fisher approximations to the percentage points under the null hypothesis have been found from them. The expected squared lengths of the confidence intervals for the mean difference have been used to measure the additional sensitivity of the test over that of the conventional paired t.
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