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Questions tagged [wilcoxon-signed-rank]

a non-parametric rank test to compare two paired samples, whether values in one are bigger than in the other. This test is NOT the same as the sign test.

28 votes
2 answers
19k views

Non-parametric test if two samples are drawn from the same distribution

I would like to test the hypothesis that two samples are drawn from the same population, without making any assumptions about the distributions of the samples or the population. How should I do this? ...
Luke Gorrie's user avatar
26 votes
2 answers
70k views

What is the difference between the Wilcoxon Rank Sum Test and the Wilcoxon Signed Rank Test?

What is the difference between the Wilcoxon Rank-Sum Test and the Wilcoxon Signed-Rank Test using paired observations? I know that the Rank-Sum test allows for a different number of observations in ...
Snowflake's user avatar
  • 1,183
21 votes
2 answers
56k views

Effect size to Wilcoxon signed rank test?

Some authors (e.g. Pallant, 2007, p. 225; see image below) suggest to calculate the effect size for a Wilcoxon signed rank test by dividing the test statistic by the square root of the number of ...
user avatar
16 votes
1 answer
27k views

Wilcoxon rank sum test in R

I have results from the same test applied to two independent samples: ...
user avatar
15 votes
3 answers
5k views

Why is the asymptotic relative efficiency of the Wilcoxon test $3/\pi$ compared to Student's t-test for normally distributed data?

It is well-known that the asymptotic relative efficiency (ARE) of the Wilcoxon signed rank test is $\frac{3}{\pi} \approx 0.955$ compared to Student's t-test, if the data are drawn from a normally ...
Silverfish's user avatar
  • 23.8k
15 votes
4 answers
3k views

How to find out if an online poker-site is fair?

Last week I had an interesting discussion with a good friend of mine. He had been playing some online poker and suggested that there is a relationship between new subscription/additional money ...
Max Gordon's user avatar
  • 5,966
14 votes
2 answers
1k views

Repeated measures over time with small $n$

I was given data to analyze for a study looking at the effects of a treatment on iron levels at four different time points (before treatment, the day treatment ended, 4 weeks after treatment, and 2-4 ...
msturm17's user avatar
  • 143
12 votes
3 answers
45k views

Paired t-test for binary data

I have one sample with n=170 and two binary variables (A,B) that can take as a value 1 or 0, where 1 counts as a success and 0 counts as a failure. What I want to know is whether the means of these ...
Martin's user avatar
  • 151
12 votes
1 answer
31k views

How to choose between sign test and Wilcoxon signed-rank test?

I am trying to pick one from these two tests to analyze paired data. Does anyone know any rules of thumb about which one to pick in general?
Sheldon's user avatar
  • 387
12 votes
1 answer
2k views

In what situation would Wilcoxon's Signed-Rank Test be preferable to either t-Test or Sign Test?

After some discussion (below), I now have a clearer picture of a focused question, so here is a revised question, though some of the comments might now seem unconnected with the original question. It ...
justme's user avatar
  • 775
11 votes
2 answers
10k views

Is ordinal or interval data required for the Wilcoxon signed rank test?

Having looked at multiple online sources, I can't seem to get a straight answer. Could someone please clarify for me if ordinal data is sufficient to use for the WSRT and if not, is the sign test an ...
Ay-Jay's user avatar
  • 111
11 votes
1 answer
14k views

How is the confidence interval built when executing the Wilcoxon.test in R?

I want to calculate the confidence interval around the median obtained from this data set: ...
hector's user avatar
  • 283
10 votes
2 answers
14k views

How to perform a Wilcoxon signed rank test for survival data in R?

Say you have survival data like this: ...
Marcel's user avatar
  • 349
10 votes
3 answers
13k views

How to compute the power of Wilcoxon test?

I am using Wilcoxon test to compare two paired sets of data for whether their means differ. Besides the p-value, I would also like to know the power of this test. How do I compute it in R?
user6302's user avatar
  • 101
9 votes
5 answers
8k views

Wilcoxon Signed Rank Symmetry Assumption

The assumption of symmetricity for signed rank test (and its relevance) is becoming extremely confusing for me. I am hypothesizing that sub-population A (before treatment) and sub-population B (after ...
Ash's user avatar
  • 93

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