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2010 Aug 17
3
Weird differing results when using the Wilcoxon-test
...icularly is the differing results when wanting to calculate the p-value manually, for bigger sample sizes. So, if we get the W-score from wilcox.test: #---BeginCode--- W_big = wilcox.test(big1, big2))$statistic #---EndCode--- and "convert" it to a Z-score, like this: #---BeginCode--- mu_big = (size^2)/2 sd_big = sqrt(size*size*(size + size + 1)/12) N = size + size sd_big_corr = sqrt( (size * size) / (N * (N - 1)) * (N^3 - N) / 12 ) Z_big = (((W_big - mu_big)/sd_big) #---EndCode--- The Z-Score (Z_big) is equal to the statistic of wilcox_test. So far so good. And now comes the main pr...