Correlation coefficient using Goodman and Kristal's gamma.
A investigator hypothesizes that parents with school-aged children are more likely to vote in favor of a referendum increasing public school spending than adults without school-aged children, but wonders of this relationship holds for both Democrats and Republicans. Determine whether this hypothesis holds for the following data.
Democrats Republicans
|
|
No Children
|
Children
|
|
|
|
No Children
|
Children
|
|
|
Yes
|
40
|
45
|
85
|
|
Yes
|
15
|
20
|
35
|
|
No
|
10
|
5
|
15
|
|
No
|
35
|
30
|
65
|
|
|
50
|
50
|
100
|
|
|
50
|
50
|
100
|
Reconstruct the zero-order referendum attitude by parenting status table, and find outs the table's correlation coefficient. Then find out the partial table correlations and determine whether the hypothesis is correct.