Statistics Assignment 5 - Measures of Association
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1. Nominal Level Problem: Consider the following cross-classification table. Please percentage on the columns to determine whether there is a relationship. Determine the magnitude of Lambda. What does this say about the relationship between employment and marital status.
|
Never Married |
Married |
Divorced |
Widowed |
Total |
|
|
Employed |
21 |
60 |
11 |
6 |
98 |
|
Not Employed |
14 |
65 |
4 |
19 |
102 |
|
Total |
35 |
125 |
15 |
25 |
200 |
Check here for a worked out example
2. Ordinal Level Problem: Now consider this ordinal level cross-classification table. Calculate Gamma and state the magnitude and direction of the relationship.
Freshman
Sophomore
Junior
Senior
Total
Liberal 2
3
7
10
22
Moderate 8
12
9
7
36
Conservative 19
5
4
3
31
Total 29
20
20
20
89
3. Interval Level Problem: Given the following pairs of scores, what is the magnitude and direction
of Pearson's "r" and what is the percent of variance explained and unexplained in Daughter's
education by knowledge of Mother's education (i.e. what is rsquared and (1-rsquared))?
ID
Mother's Educ
Daughter's Educ
A
1
7
B
3
4
C
5
13
D
7
16
E
9
10
F
11
22
G
13
19
4. Regression Problem: Given the following information, what would you expect John's score to be on the final examination, if his score on the midterm were 62? Within what interval could you be 95% confident the actual score on the Final would fall (i.e. what is the standard error)?
Midterm (X)
Final (Y)
Xbar = 70
Ybar = 75
Sx = 4
Sy = 8
r = 0.60