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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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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