Skip to main content

Table 1 Some exact null distributions for the proposed test statistic

From: Using the Bernoulli trial approaches for detecting ordered alternatives

Sample sizes Test statistic value (KTMB) Mean and variance
(n1, n2, n3) 0 1 2 3 4 5 6 7 8 9 12 E [T] V[T]
(2, 1, 1) 2/12 3/12 4/12 1/12 1/12 - 1/12 - - - - 2 2.667
(2, 1, 2) 2/30 2/30 6/30 4/30 6/30 2/30 3/30 2/30 2/30 - 1/30 4 6.867
(1, 1, 3) 2/20 3/20 4/20 6/20 1/20 1/20 1/20 1/20 - 1/20 - 3 5.000