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Biometrika 1973 60(1):101-105; doi:10.1093/biomet/60.1.101
© 1973 by Biometrika Trust
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A test for equality of means of correlated variates with missing data on one response

DONALD F. MORRISON

University of Pennsylvania

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.

Key Words: Missing data • Tests on bivariate normal means • Repeated measurements • Paired t statistic


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