Assume the data are at least of interval scaling and


Cross-cultural agreement

A group of researchers has devised a stress questionnaire consisting of 15 life events. They are interested in determining whether there is cross-cultural agreement on the relative amount of adjustment each event entails. The questionnaire is given to 300 Americans and 300 Italians. Each individual is instructed to use the event of "marriage" as the standard and to judge each of the other life events in relation to the adjustment required in marriage. Marriage is arbitrarily given a value of 50 points. If an event is judged to require greater adjustment than marriage, the event should receive more than 50 points. How many more points depends on how much more adjustment is required. After each subject within each culture has assigned points to the 15 life events, the points for each event are averaged. The results are shown in the following table.

Life Event

Americans

Italians

Death of spouse Divorce

100 73

80 95

Marital separation Jail term

65 63

85 52

Personal injury Marriage Fired from work

53 50 47

72 50 40

Retirement

45

30

Pregnancy Sex difficulties

40 39

28 42

Business readjustment Trouble with in-laws

39 29

36 41

Trouble with boss

23

35

Vacation

13

16

Christmas

12

10

a. Assume the data are at least of interval scaling and compute the correlation between the American and Italian ratings.

b. Assume the data are only of ordinal scaling and compute the correlation between ratings of the two cultures.

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Basic Statistics: Assume the data are at least of interval scaling and
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