Question

The table below shows the hours of relief provided by two analgesic drugs in 11 patients suffering from arthritis. Is there any evidence that one drug provides longer relief than the other? Use Wilcoxon Signed-RankTest. Please show step by step. Thank you

Case A B

1) 2.0 3.5

2) 14.9 16.7

3) 3.6 5.7

4) 6.6 6.0

5) 2.6 2.9

6) 2.3 3.8

7) 2.6 2.4

8) 2.0 4.0

9) 7.3 9.9

10) 6.8 9.1

11) 3.4 3.3

Answer 1

Sign R 5.5 -1 -1 -1 Sign R -5.5 - 7 -9 7 1 4 Treatment 1 2 14.9 3.6 6.6 2.6 2.3 2.6 2 7.3 6.8 3.4 Treatment 2 3.5 16.7 5.7 6 2.9 3.8 2.4 4 9.9 9.1 3.3 -1 -1 Abs 1.5 1.8 2.1 0.6 0.3 1.5 0.2 2 2.6 2.3 0.1 حا 9 4 3 5.5 2 8 11 10 1 -3 -5.5 2 -8 -11 -10 -1 -1 -1 1 1

Ho: Medium Differance =0 HI: Median Difference to - Hese d=o.05 na 11 • The criticle value =10 Hypothesis if T.S.<10 sum of positive Ranks=7 and sum of nagative Ranks = 59 (minimum considend as test statistics) Toš. 7 we Reject 7411 - In this case T = 7 <10, we Reject the myll Hypothesis. it means that there is enough evidence to claim that population mendian Difference in differ than o Cor one provide Longer relif than others). - P Vulye O,0zOSS Drug