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
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 | 74 | 55 | 87 | 60 | 54 | 53 | 69 |
| Score on aggressiveness test | 75 | 45 | 59 | 76 | 66 | 43 | 60 |
Using a 0.05 level of significance, test the claim that rank in humor has a monotone-decreasing relation to rank in aggressiveness.
| Soldier | Humor Rank x |
Aggressiveness Rank y |
d = x - y | d2 |
| 1 2 3 4 5 6 7 |
Σd2 = |
(b) What is the level of significance?
(a). Make a table of ranks to be used in a Spearman rank correlation test:
Given data represents the values of scores of a random sample of 7 soldiers under the humor test and regressiveness test.
The table of ranks to be used in a Spearman rank correlation test are given below:
The spearman rank correlation coefficient is obtained as 0.3571 from the calculation given below:
Thus, the spearman rank correlation coefficient is 0.3571.
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