Question: Consider the following bivariate table showing the relationship between the number of missed work days (frequency of absence: low or high) and the amount of
Consider the following bivariate table showing the relationship between the number of missed work days (frequency of absence: low or high) and the amount of monthly sales (classified as either low or high, based on company-wide averages) among sales personnel at a car dealership.
| Frequency of Absence (X) | |||
|---|---|---|---|
| Monthly Sales (Y) | Low | High | Totals |
| Low | 43 (51.2%) | 31 (22.8%) | 74 |
| High | 41 (48.8%) | 105 (77.2%) | 146 |
| Totals | 84 (100.0%) | 136 (100.0%) | 220 |
| Gamma = +0.5607 |
The data in the table suggest that there is association between the number of missed work days (X) and the amount of monthly sales (Y).
Here are the partial tables showing the bivariate relationship between X and Y after controlling for level of education.
A. High School
| Frequency of Absence (X) | |||
|---|---|---|---|
| Monthly Sales (Y) | Low | High | Totals |
| Low | 24 (48.0%) | 9 (22.0%) | 33 |
| High | 26 (52.0%) | 32 (78.0%) | 58 |
| Totals | 50 (100.0%) | 41 (100.0%) | 91 |
| Gamma = +0.5329 |
B. College
| Frequency of Absence (X) | |||
|---|---|---|---|
| Monthly Sales (Y) | Low | High | Totals |
| Low | 19 (55.9%) | 22 (23.2%) | 41 |
| High | 15 (44.1%) | 73 (76.8%) | 88 |
| Totals | 34 (100.0%) | 95 (100.0%) | 129 |
| Gamma = +0.6156 |
Compared with the bivariate table, the partial tables show relationship between the number of missed work days and the amount of monthly sales. This is evidence of relationship between the X and Y variables and implies that you should the variable Z (level of education) in further analysis.
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