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Oct 4 at 16:14 history edited jginestet CC BY-SA 4.0
Added details about why the subtraction
Oct 4 at 13:13 comment added Ser Huisman Thank you! I will be very explicit in my methods section about where the W comes from. I agree that reporting the W does not add much, however, I am not a fan of only p-values. Ideally, I would report an effect size, I'll look into the options for that! PS I like that last sentence, haha
Oct 2 at 20:02 comment added jginestet Rather than reporting any W, or U statistic (subtracted or not)), you may simply want to report none. Yes, any of the above are equivalent, but they are also completely redundant with the p-value. These statistic and the p-value are deterministacally related. So reporting their value does not add anything, does not re-inforce the p-value, does not confirm the significance. Rather than confusing your audience with statistics the computatiuons of which they may or not know, just use the p-value (at least most of your audience will think they know what it means).
Oct 2 at 14:22 comment added Christian Hennig @SerHuisman As all these are equivalent, you can give out whatever of these values you want if you say what it actually is. You can even give your hand-calculated value as long as it is correct, with definition, and give the p-value from R.
Oct 2 at 9:03 comment added Ser Huisman Thank you for the useful answer! And the addition about the literature. I agree, quite confusing; I have already read about 4 different ways now to calculate W. I would prefer R to just use Mann Whitney U and provide a U and/or z value for this test, but well. I agree especially with this strange outcome for my sample (the same happened in another sample with less extreme differences; 1 group had neg and pos values in there), I calculated it by hand and got your W's too... I am leaning towards reporting SPSS's U or z for this, but I am hesitant as R is considered the holy grail in my field ;)
Oct 2 at 6:15 comment added Roland From the documentation: "The literature is not unanimous about the definitions of the Wilcoxon rank sum and Mann-Whitney tests. The two most common definitions correspond to the sum of the ranks of the first sample with the minimum value (m(m+1)/2 for a first sample of size m) subtracted or not: R subtracts. It seems Wilcoxon's original paper used the unadjusted sum of the ranks but subsequent tables subtracted the minimum."
Oct 1 at 21:03 history edited jginestet CC BY-SA 4.0
edited typos in body
Oct 1 at 19:41 history answered jginestet CC BY-SA 4.0