Show that for the special case where n 1 2 and n 2 2, the formula for the expected value of the Wilcoxon rank sum T 2 given in this section holds List the (n 1 n 2 ) 4 ways that the ranks can be assigned, and compute T 2 for each assignment Then use the fact that the probability of any assignment i...

For the special case where n1 2 and n2 2 there are a total of n1 n2 4 24 ways that the ranks can be ...

Show that for the special case where n 1 = 2 and n 2 = 2, the

Question:

Show that for the special case where n₁ = 2 and n₂ = 2, the formula for the expected value of the Wilcoxon rank sum T₂ given in this section holds. List the (n₁ + n₂)! = 4! ways that the ranks can be assigned, and compute T₂ for each assignment. Then use the fact that the probability of any assignment is equally likely.

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