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Hi everyone,
Something is puzzling me….it relates to effect size estimate for the Mann Whitney test.
In the text “Green, S. B. & Salkind, N. J. (2005). Using SPSS for Windows and Macintosh: Analyzing and understanding data (fourth edition). New Jersey:Pearson (p386)”,  the effect size for a Mann Whitney test is defined as
(chisquare value for the Kruskal Wallis test)/(N-1)
-this is equivalent to eta squared for the ANOVA of the ranked data.
Now, in the paper “Effect Size Estimates: Current Use, Calculations, and Interpretation” by Fritz, Morris and Richler (2012) [http://www.researchgate.net/publication/51554230_Effect_Size_Estimates_Current_Use_Calculations_and_Interpretation] , eta squared for the Mann Whitney test is correctly quoted as:
(z/sqrt(N))^2 = (chisquare value for the Kruskal Wallis test)/(N-1)
But it is implied that the “effect size” is the square root of this value, i.e.  z/sqrt(N).
Your views on this issue are much appreciated.
All the very best,
Kim





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