Kurtosis Tests for Multivariate Normality with Monotone Incomplete Data
  We consider the problem of testing multivariate normality when the data consists of a random sample of two-step monotone incomplete observations. We define for such data a generalization of Mardia's statistic for measuring kurtosis, derive the asymptotic non-null distribution of the statistic under certain regularity conditions and against a broad class of alternatives, and give an application to a well-known data set on cholesterol measurements. 
Tomoya Yamada, Megan M. Romer, and Donald St. P. Richards
math.ST stat.TH