Two independent sets of data are collected, the first with 16 subjects and the second with 26 subjects. Mr. X is a subject in the first data set and is associated with a value of 80. In the first set, 3 values are ranked behind 80 and 12 values are ranked ahead of it (with Mr. X being the other data value). In the second set, 10 values are ranked behind 80 and 16 values are ranked ahead of it. What is Mr. X's rank in a Wilcoxon rank sum test?
A) 12
B) 13
C) 28
D) 29

Question

Quizplus · Accepted Answer

In the Wilcoxon rank sum test, the rank of a value is determined by its position when all values from both data sets are combined and ranked. Mr. X's value of 80 is ranked 13th in the first set (12 values ahead, 3 behind) and 11th in the second set (10 values behind, 16 ahead). Combining both sets, Mr. X's rank is 29th.

Two Independent Sets of Data Are Collected, the First with 16