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Timeline for What does comparing mean rank mean?

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Sep 12, 2021 at 17:30 comment added Alexis Whoops! Small correction in my previous comment, the second hypothesis should be labeled $\text{H}_{\text{A}}$. Sorry for any confusion.
Sep 11, 2021 at 16:06 comment added Alexis It also compares the means of the data (not the ranks) if the population distributions of both groups have the same shape and the same variance. But those are some pretty additional strong assumptions (and your samples A & B certainly do not look like equal shapes or variances, for example). The fundamental null hypothesis, regardless of distribution, is that neither group is "stochastically larger": $\text{H}_{0}\text{: }P(X_{A} > X_B) = 0.5$ with $\text{H}_{0}\text{: }P(X_{A} > X_B) \ne 0.5$.
Sep 11, 2021 at 9:53 comment added quant @Alexis Indeed the mann-whitney is non-parametric, but I thought the mann-whitney compares the medians if the distributions of the two samples have similar shape: statistics.laerd.com/spss-tutorials/…
Sep 11, 2021 at 9:50 vote accept quant
Sep 11, 2021 at 2:42 history became hot network question
Sep 10, 2021 at 19:51 comment added Alexis As an aside: the rank sum test will compare mean ranks regardless of the distribution of the data in each group, whether or not they are normal(-ish)ly distributed.
Sep 10, 2021 at 19:40 comment added Alexis Welcome to CV, quant!
Sep 10, 2021 at 19:32 answer added Alexis timeline score: 10
Sep 10, 2021 at 18:40 history asked quant CC BY-SA 4.0