changed to new test method for singificance

This commit is contained in:
2026-03-08 13:53:31 +01:00
parent 4b89b64674
commit cc24ac72f7
8 changed files with 162 additions and 41 deletions

View File

@@ -616,3 +616,17 @@ Volume: 21},
year = {2026},
file = {Snapshot:/home/velocitatem/Zotero/storage/N724QGF6/v4.html:text/html},
}
@article{mann_test_1947,
title = {On a {Test} of {Whether} one of {Two} {Random} {Variables} is {Stochastically} {Larger} than the {Other}},
volume = {18},
url = {https://doi.org/10.1214/aoms/1177730491},
doi = {10.1214/aoms/1177730491},
abstract = {Let x and y be two random variables with continuous cumulative distribution functions f and g. A statistic U depending on the relative ranks of the x's and y's is proposed for testing the hypothesis f = g. Wilcoxon proposed an equivalent test in the Biometrics Bulletin, December, 1945, but gave only a few points of the distribution of his statistic. Under the hypothesis f = g the probability of obtaining a given U in a sample of n x's and m y's is the solution of a certain recurrence relation involving n and m. Using this recurrence relation tables have been computed giving the probability of U for samples up to n = m = 8. At this point the distribution is almost normal. From the recurrence relation explicit expressions for the mean, variance, and fourth moment are obtained. The 2rth moment is shown to have a certain form which enabled us to prove that the limit distribution is normal if m, n go to infinity in any arbitrary manner. The test is shown to be consistent with respect to the class of alternatives f(x) {\textgreater} g(x) for every x.},
number = {1},
journal = {The Annals of Mathematical Statistics},
author = {Mann, H. B. and Whitney, D. R.},
year = {1947},
note = {Publisher: Institute of Mathematical Statistics},
pages = {50 -- 60},
}