Assignment 8: Contingency tables
1. After conducting a study of Race and Class, you come up with the following three by three classification of your subjects. Is are there significant differences in class across the three races represented in your study? If there is a difference, show if the differences are mainly due to the differences between Black and Hispanic respondents or between White respondents and everyone else. (Hint: Partition.)
|
Class Race: |
Black |
White |
Hispanic |
|
High |
10 |
20 |
5 |
|
Middle |
30 |
20 |
20 |
|
Low |
50 |
30 |
25 |
2. You are hired as a marketing consultant for a company that is going to market Brady Bunch Lunch Boxes and Brady Bunch Notebooks. The company plans to target younger kids (under age 10) for the lunch boxes and older kids (over 10) for the notebooks. They want to know who they should put on the lunch boxes and notebooks: Marcia or Greg Brady. You do a survey and come up with the following results. What conclusions can you draw about what kinds of kids Marcia Lunch boxes, Greg Lunch boxes, Marcia Notebooks, and Marcia Lunch boxes should be targeted to in the marketing campaign? (Hint: first analyze Age by preference, then incorporate Sex.)
|
AGE |
SEX |
Prefer Greg or Marcia |
N |
|
10 or less |
Male |
Greg |
65 |
|
10 or less |
Male |
Marcia |
35 |
|
10 or less |
Female |
Greg |
25 |
|
10 or less |
Female |
Marcia |
75 |
|
greater than 10 |
Male |
Greg |
30 |
|
greater than 10 |
Male |
Marcia |
70 |
|
greater than 10 |
Female |
Greg |
80 |
|
greater than 10 |
Female |
Marcia |
20 |
3. Stata: Using the data indicated in problem 5.4 of the A&D book, use Stata to calculate chi-square, Cramer's V, and gamma. Interpret your results.