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0 votes
0 answers
81 views

Nonparametric hypothesis test for ratio of medians

I have 4 distributions: A1, A2, B1, and B2. I would like to test whether there is a significant difference between median(A1)/median(A2) and median(B1)/median(B2). While I can calculate propagated ...
Scott's user avatar
  • 1
7 votes
1 answer
584 views

When to test For Equality of Medians, and when Stochastic Equality?

In statistics, we are very often interested in investigating whether some score (let's say life satisfaction) tends to be bigger in one population (let's say rich people) compared to another ...
Julian Karch's user avatar
  • 1,980
5 votes
2 answers
178 views

Wilcoxon (WMWU) test sensitivity

Statistics courses often give the Wilcoxon-Mann-Whitney U test ("Wilcoxon" from now on) as an alternative to the two-sample t-test. However, the test is not quite the test of medians that would be so ...
Dave's user avatar
  • 65.1k
1 vote
0 answers
871 views

How to explain to a non-statistician researcher why the 2-sample Hodges-Lehmann-estimator is reported instead of the difference in median?

I need to explain the result of the wilcox.test in R. Many people believe it's about medians. Of course it is not. I understand this is a useful non-parametric measure about statistical equality of ...
Sonixos993's user avatar
2 votes
0 answers
48 views

Kruskal-Wallis Test: Identically Shaped Distributions

I'm currently working with the Kruskall-Wallis test and had a question about what people mean when they speak about 'Identically Shaped Distributions' and how I could identify whether my data fits ...
minc33's user avatar
  • 83
4 votes
1 answer
225 views

Testing median of a sample using randomisation methods

I am given a sample of data for which I need to test the hypothesis: $H_0: m=m_0$ vs. $H_1: m \neq m_0$ where $m$ is the population median and $m_0$ is the hypothesized median. The question asks to ...
Patty's user avatar
  • 1,779
6 votes
4 answers
2k views

Is there an unpaired version of the sign test?

I wasn't able to find one on Google, and was wondering if one exists...
Tal Galili's user avatar
  • 21.8k