On the Distribution of the Studentized Bivariate Range

The stltdetltized bivnhte range, R s , it1 a sample from a circrdur normal distribution is espressed as the maximum of a set of F variables. Using a method employed by pearson and Chandra Sekar [7], the exact upper tail distribution for small samples is given. The same procedure provides over-approximations to the percentage points of R s , for larger sample sizes. Methods for obtaining the full distribution are discrussed. The use of the statistic in testitrg for homogeneity is considered.