When $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots \ldots \ldots = \mu _ { j }$

Short Answer

When $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \ldots \ldots \ldots = \mu _ { j }$ is true, and either the number of population or treatment means I = 3 and the sample size $J _ { i } \geq 6$ (i = 1,2,3), or I > 3 and $J _ { i } \geq 5$ (i = 1, ,I), then the Kruskal-Wallis test statistic K has approximately a __________ distribution with __________ degrees of freedom.