To further test the nature of the association between tuition rates and graduation rates, the president decided to "control" for the quality of the university's football team to see if the relationship between tuition rates and graduation rates differed depending on the win-loss records of universities' football teams. She began by dividing the sample into universities with generally winning records (more wins than losses) and generally losing records (more losses than wins) for the year. For each partial table below, compute column percentages and gamma and interpret the pattern of relationships. Then calculate the partial gamma and write a paragraph analyzing the effect of controlling for the quality of a university's football team on the original bivariate relationship between tuition and graduation rates. Do your results suggest evidence of a direct, spurious/intervening, or interactive relationship after adding this control variable? How do you know? Graduation Rate by Tuition Rate, controlling for quality of football team A. Universities with winning football teams
To further test the nature of the association between tuition rates and graduation rates, the president decided to "control" for the quality of the university's football team to see if the relationship between tuition rates and graduation rates differed depending on the win-loss records of universities' football teams. She began by dividing the sample into universities with generally winning records (more wins than losses) and generally losing records (more losses than wins) for the year. For each partial table below, compute column percentages and gamma and interpret the pattern of relationships. Then calculate the partial gamma and write a paragraph analyzing the effect of controlling for the quality of a university's football team on the original bivariate relationship between tuition and graduation rates. Do your results suggest evidence of a direct, spurious/intervening, or interactive relationship after adding this control variable? How do you know?
Graduation Rate by Tuition Rate, controlling for quality of football team
A. Universities with winning football teams
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Graduation Rate by Tuition Rate |
|||
|
|
Tuition Rate |
||
|
Graduation Rate |
Low |
High |
Totals |
|
Low |
39 |
41 |
80 |
|
High |
37 |
38 |
75 |
|
Totals |
76 |
79 |
155 |
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