In Lecture 6, we defined the Wilcoxon rank sum test statistic W as the sum of the ranks of the Y observations in the combined sample. Now, let W' be the sum of the ranks of the X observations. Please verify the following equation: (m + n)(m + n + 1) W' + W = where m and n are number of X and Y observations, respectively.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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In Lecture 6, we defined the Wilcoxon rank sum test statistic W as the sum of the ranks of the Y
observations in the combined sample. Now, let W' be the sum of the ranks of the X observations.
Please verify the following equation:
(m + n)(m + n + 1)
W' + W =
2
where m and n are number of X and Y observations, respectively.
Transcribed Image Text:In Lecture 6, we defined the Wilcoxon rank sum test statistic W as the sum of the ranks of the Y observations in the combined sample. Now, let W' be the sum of the ranks of the X observations. Please verify the following equation: (m + n)(m + n + 1) W' + W = 2 where m and n are number of X and Y observations, respectively.
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