Wilcoxon Signed-Ranks Test
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@statslectures yeah it's a strange but interesting little corner of statistics. Thanks for taking another look, and thanks for the great videos!
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@statslectures No it really states "The sum of positive ranks" and in the example the positive ranks are higher, in another example the positive ranks are lower, in both examples they take the sum of positive ranks.
They test a Median agains a Benchmark, does that matter?
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There is at least one mistake in this video - ranks should be assigned based on the ABSOLUTE VALUE of the difference, NOT the signed difference. So 12 should be rank 1, -14 and 14 should both be ranked 2.5, 16 is ranked 4, etc.
colman77 1 day ago
@colman77
It really depends on who you ask and what your professor or teacher tells you to do, unfortunately.
statslectures 1 day ago
@statslectures
Take a look at the Wikipedia page; especially the External Link to cornell.edu. It includes a great explanation for why this test works.
with absolute value - this test approximates the probability the a dataset is centered around your test mean value.
without - ... tests for strange cases depending on whether len(data) is even or odd.
There are ongoing debates about a number of topics in statistics but I don't think this is one of them. Professors occasionally make mistakes.
colman77 1 day ago
@colman77
I'll give it another look. I don't perform this test very often, and the way I did it here may be based on a flawed textbook. Thanks for letting me know.
statslectures 1 day ago
My book says to calculate the Wilcoxon test statistic, use the SUM OF POSITIVE RANKS.
I'm lost.
AuronNU 3 months ago
@AuronNU
You use either the sum of the positive ranks, or the sum of the negative ranks, whichever is smaller. Maybe you're looking at an example from the book where the positive ranks were smaller?
statslectures 3 months ago