AbstractWe propose a test for the equality of means of two correlated normal variates based on a sample with missing values on both variates. We assume an unknown common variance σ2 and an unknown correlation coefficient ϱ. Our test statistic, U, is a generalization of the paired t‐statistic and of Morrison's (1973) statistic for the case of missing values on one variate only. A simulation study is conducted to determine approximate percentage points of U for selected sample sizes and ϱ = =0.25, 0.50, 0.75.