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Degree of freedom for Means: Wilcoxon-Mann-Whitney test

Hi;
My G*Power setup is as follows and my method is A.R.E.

1) What does ARE stand for in G*Power?

2) my degree of freedom is 53.2960000. My question is that is my DF Ok? I didn't set it up specifically and the value is awkward.

3) how can i interpret this with my results? E.g. Given a b and c, the mean difference is k, so that I can reject/accept null hypothesis. What are my parameters?

t tests - Means: Wilcoxon-Mann-Whitney test (two groups)
Options:	A.R.E. method
Analysis:	A priori: Compute required sample size 
Input:	Tail(s)	=	One
	Parent distribution	=	min ARE
	Effect size d	=	0.9076923
	α err prob	=	0.05
	Power (1-β err prob)	=	0.95
	Allocation ratio N2/N1	=	1
Output:	Noncentrality parameter δ	=	3.3748581
	Critical t	=	1.6739508
	Df	=	53.2960000
	Sample size group 1	=	32
	Sample size group 2	=	32
	Total sample size	=	64
	Actual power	=	0.9541689

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Best regards.
Math / Science

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Math / Science
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