So, if the null hypothesis is true and there are no true group differences at all, you’d expect the between group rank sums RSS b to be very small, much smaller than the total rank sums RSS tot . Qual...So, if the null hypothesis is true and there are no true group differences at all, you’d expect the between group rank sums RSS b to be very small, much smaller than the total rank sums RSS tot . Qualitatively this is very much the same as what we found when we went about constructing the ANOVA F-statistic; but for technical reasons the Kruskal-Wallis test statistic, usually denoted K, is constructed in a slightly different way:
So, if the null hypothesis is true and there are no true group differences at all, you’d expect the between group rank sums RSS b to be very small, much smaller than the total rank sums RSS tot . Qual...So, if the null hypothesis is true and there are no true group differences at all, you’d expect the between group rank sums RSS b to be very small, much smaller than the total rank sums RSS tot . Qualitatively this is very much the same as what we found when we went about constructing the ANOVA F-statistic; but for technical reasons the Kruskal-Wallis test statistic, usually denoted K, is constructed in a slightly different way:
