Question

An army psychologist gave a random sample of seven soldiers a test to measure sense of humor and another test to measure aggressiveness. Higher scores mean greater sense of humor or more aggressiveness.

Soldier	1	2	3	4	5	6	7
Score on humor test	59	66	50	49	86	53	54
Score on aggressiveness test	55	53	72	61	67	65	54

Using a 0.05 level of significance, test the claim that rank in humor has a monotone-decreasing relation to rank in aggressiveness.

(a) Ranking the data with rank 1 for highest score on a test, make a table of ranks to be used in a Spearman rank correlation test.

Soldier

Humor Rank x

Aggressiveness Rank y

d = x - y

d2

1

2

3

4

5

6

7

b) compute the sample test statistic

Answer 1

	x		y	x-y=
	Rank		Rank	d	d2
	3		5	-2	4
	2		7	-5	25
	6		1	5	25
	7		4	3	9
	1		2	-1	1
	5		3	2	4
	4		6	-2	4
				∑d2	72

test statistic =

rs=1-6Σd2/(n(n2-1))=

-0.286