Nonparametric Methods in Statistics with SAS Applications

WILCOXON SIGNED-RANK TEST FOR LOCATION PARAMETER 11

Pair Intervention Control

Number Group Group Difference Rank

1 10 26 −16 6

2 22 40 −18 7

3 44 66 −22 10

4 23 55 −32 11

5 8 16 −8 4.5

6 33 33 0 N/A

7 0 8 −8 4.5

8 8 6 2 1

9 14 18 −4 2

10 34 14 20 8

11 2 23 −21 9

12 10 15 −5 3

The case with the identical observations is removed from further consideration, leav-

ing the valid sample size n = 11. There are two tied differences which are assigned

the rank of 4.5 each, a half way between the ranks 4 and 5 that would have been

assigned to them if they were not tied. The alternative hypothesis for this setting is

H

1

:

θ

interv

<

θ

control

. The test statistic is T

+

= 1+8 =