If we have two samples of size 18 and 23 that generate a U-statistic value of 250, what Z-statistic does this approximate to?

Question

Quizplus · Accepted Answer

The Z-statistic approximation from a U-statistic involves standardizing the U-statistic value. This process typically involves subtracting the mean of the U distribution (which depends on the sample sizes) and dividing by the standard deviation of the U distribution. Given the sample sizes of 18 and 23 and a U-statistic of 250, the specific calculation for the Z-statistic would depend on these values, but without the exact formula or additional context provided in the question, the correct Z-statistic value is determined by the context of the question or the methodology used for approximation, which in this case leads to a Z-statistic of approximately 1.130. This value suggests a moderate level of significance in the difference between the two sample distributions.

If We Have Two Samples of Size 18 and 23