Question: You are interested in finding if risk score differs by whether the person receives a felony or misdemeanor charge. However, you also want to consider
You are interested in finding if risk score differs by whether the person receives a felony or misdemeanor charge. However, you also want to consider if the person is housed in prison or jail. You collect the following data:
Housing | Charge | Score |
Prison | Misdemeanor | 6 |
Prison | Misdemeanor | 7 |
Prison | Misdemeanor | 6 |
Prison | Misdemeanor | 2 |
Prison | Misdemeanor | 3 |
Jail | Misdemeanor | 5 |
Jail | Misdemeanor | 6 |
Jail | Misdemeanor | 3 |
Jail | Misdemeanor | 8 |
Jail | Misdemeanor | 6 |
Jail | Felony | 4 |
Jail | Felony | 6 |
Jail | Felony | 7 |
Jail | Felony | 6 |
Jail | Felony | 7 |
Prison | Felony | 6 |
Prison | Felony | 10 |
Prison | Felony | 6 |
Prison | Felony | 8 |
Prison | Felony | 10 |
You run an appropriate test in R and gain the following results:
df | Sum of Squares | Mean sum of squares | F-value | p-value | |
Charge | 1 | 16.2 | 16.2 | 4.800 | 0.0436 |
Housing | 1 | 1.8 | 1.8 | 0.533 | 0.4758 |
Charge*Housing | 1 | 9.8 | 9.8 | 2.904 | 0.1077 |
Residuals | 16 | 54.0 | 3.375 |
You also run the following interaction plot:
How would you interpret the interaction plot? Keep in mind you should havethreefindings.
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