Suppose that a new postsurgical treatment is being compared with a standard trea

Question

Suppose that a new postsurgical treatment is being compared with a standard treatment by observing the recovery times of n treatment subjects and of m controls. State for what values of W_s you would reject the hypothesis of no treatment difference at the closest attainable significance level to .05 if (i) m = n = 8; (ii) m = 8. n = 9; (iii) m = 9. n = 8. Under the conditions of the preceding problem, suppose that m = n = 9 and the observed recovery times are (in days) Find the significance probability of these results when the Wilcoxon rank-sum test is used.

Explanation / Answer

24:

(i)

Here we have two independent samples and test is two tailed. Level of significance is 0.05. From the table of Wilcoxon rank sum test, critical value of Ws for n1 =n = 8 and n2=m= 8 is 49.

Rejection region:

If Ws > 49 we reject the H0

(ii)

Here we have two independent samples and test is two tailed. Level of significance is 0.05. From the table of Wilcoxon rank sum test, critical value of Ws for n1 =m = 8 and n2=n= 9 is 51.

Rejection region:

If Ws > 51 we reject the H0

(iii)

Here we have two independent samples and test is two tailed. Level of significance is 0.05. From the table of Wilcoxon rank sum test, critical value of Ws for n1 =n = 8 and n2=m= 9 is 51.

Rejection region:

If Ws > 51 we reject the H0

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