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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.

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
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
9 votes
1 answer
5k views

Relative efficiency of Wilcoxon signed rank in small samples

I have seen in published literature (and posted on here) that the asymptotic relative efficiency of the Wilcoxon signed rank test is at least 0.864 when compared to the t test. I have also heard that ...
Jimj's user avatar
  • 1,183
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
9 votes
3 answers
4k views

How to best visualize one-sample test?

We are currently writing a paper with several one-sample Wilcoxon tests. While visualizing two-sample tests is easy via boxplots, I was wondering whether there is any good way to visualize one-sample ...
Ladislav Naďo's user avatar
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
8 votes
2 answers
4k views

Can I use Wilcoxon Signed-Rank Test to test pairs of data in a time series?

I have a dataset of measurements (non-normally distributed). Each line of this dataset is composed of two measurements of the same variable at a specific time (i.e. XYY [time, meas1, meas2]). This ...
ThiagoMAF's user avatar
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
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
4 votes
2 answers
3k views

Prove the relationship between Walsh averages and Wilcoxon signed rank test

In my lecture notes it is stated that sum of all positive signed ranks (defined in Wilcoxon signed rank test) = the number of Walsh averages that are greater than median How can I prove this ...
Gillian Cheung's user avatar
8 votes
1 answer
8k views

Why do zero differences not enter computation in the Wilcoxon signed ranked test?

The Wilcoxon signed ranked test tells us if the median difference between paired data can be zero. The test is executed by computing a statistic, then a z-score and comparing it to a critical value. ...
Martin Drozdik's user avatar
5 votes
1 answer
10k views

Output of one-tailed Wilcoxon sign rank test in R

I'm trying to assess the difference between two algorithms. They are stochastic, so I've run them multiple times against the same input files and noted their results. I want to determine whether my ...
Alastair's user avatar
  • 165
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
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

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