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As I like to say, our friend's
English is better than my Italian. Nevertheless, I have rewritten the article to make the English more comprehensible. I have also clarified the U statistics. I did have to remove a couple of sentences that I could not understand at all.
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I don't know what the correct formulas are but the simple math for U1 and U2 seem to wrong as the calculation of the probability (if 9 is correct correct statistic) This math needs correction or deletion.
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J. D. Gibbons and S. Chakraborti, "Nonparametric
Statistical Inference", Marcel Dekker Inc., p.330, 2003. (We can peek this page on Google :))
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i probably an error, at the end of the article, : "power is equal to 0.61%." it is probably more some thing like 61%, no ? al
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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At first, when the number of all observations (N) is odd, the middle observation is thrown out
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Then, the sum of the ranks within each group and the U statistics are computed as follows:
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and n*m are equivalent when N (or n+m) is even, because U
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212:= 7*5+(5*(5+1)/2)-24=26
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194:= 5+12+11+10+7+6+3 = 54
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206:= 7*5+(7*(7+1)/2)-54=9
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200:= 1+4+8+9+2 = 24
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250:=N(N+1)/2.
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