b − t + 1 denotes the 1 − α/2 quantile of the t-distribution with bk − b − t + 1 degrees of freedom. Historical note T1 was the original statistic proposed by James Durbin, which would have an approximate null distribution of (that is, chi-squared with degrees of freedom). The T2 statistic has slightly more accurate critical regions, so it is now the preferred statistic. The T2 statistic is the two-way analysis of variance statistic computed on the ranks R(Xij). Related tests Cochran's Q test is applied for the special case of a binary response variable (i.e., one that can have only one of two possible outcomes). Cochran's Q test is valid for complete block designs only. See also Analysis of variance Friedman test Kruskal-Wallis one-way analysis of variance Van der Waerden test References Statistical tests Nonparametric statistics