Tests for mean vector with two-step monotone missing data

We consider the problem of testing for multivariate mean vector when the data have two-step monotone pattern missing observations.We obtain two test statistics for this problem: a test statistic similar to Hotelling's T 2 test statistic and the likelihood ratio test statistic.We propose the approximate upper percentiles of these statistics.The accuracy of the approximation is investigated by Monte Carlo simulation.A test statistic for the components of mean vector is outlined.Approximate simultaneous confidence intervals are obtained and the proposed method is illustrated using an example.