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questions
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Algebraic Manipulations in Mann-Whitney-Wilcoxon Test Statistics
Given
Let $\Delta > 0 $ be positive real number. Consider the Wilcoxon-Mann-Whitney upper tail test $H_0: \Delta \leq 0 \,\,\, \text{vs} \,\,\, H_a: \Delta > 0$ aimed at testing the difference ...
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Example of an non-symmetrical Wilcoxon Rank Sum test statistic value
I have been given a homework in a subject called "Non-Parametric Statistics" and I'm a bit stuck with it. I would be very thankful if you could give me any advice or help, which would lead to a ...
1
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1
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Variance of Wilcoxon Rank-Sum Test (no ties)
$\newcommand{\E}[1]{\mathbb{E}\left[#1\right]}
\newcommand{\r}[1]{r\left(#1\right)}
\newcommand{\P}[1]{\mathbb{P}\left(#1\right)}
\newcommand{\Var}[1]{\text{Var}\left[#1\right]}$
Given two sets of ...
2
votes
1
answer
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Wilcoxon Rank-Sum Test $H_1$ notation
This notation is from Nonparametric Statistical Inference, 5th ed., by Gibbons and Chakraborti. On p. 290, it states:
Wilcoxon (1945) proposed a test where we accept the one-sided location ...
2
votes
1
answer
997
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Randomization Tests
The following data are mandible lengths (mm) of 10 male and 10 female golden jackals Canis aureus in the collection at the British Natural History Museum. The two samples are independent.
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