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 |