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ThefileAutoAccident.datcontainsdataonseverityofdrivers'injuriesinautoac- cidents (Injury: 1=Not Severe, 2=Severe), along with the type of accident (Type: 1=Collision, 2=Rollover), the type ofautomobile (Car: 1=Small, 2=Standard), and whether or not
- ThefileAutoAccident.datcontainsdataonseverityofdrivers'injuriesinautoac- cidents (Injury: 1=Not Severe, 2=Severe), along with the type of accident (Type: 1=Collision, 2=Rollover), the type ofautomobile (Car: 1=Small, 2=Standard), and whether or not the driver wasejected from the vehicle during the accident (Ejected: 1=No, 2=Yes). The data are also availablewith qualitative descriptors atAutoAccident.csv.
Type | Collision | Rollover | |||
Car | Ejected | Injury | |||
Small | No | Not Severe | 350 | 60 | |
Severe | 150 | 112 | |||
Yes | Not Severe | 26 | 19 | ||
Severe | 23 | 80 | |||
Standard | No | Not Severe | 1878 | 148 | |
Severe | 1022 | 404 | |||
Yes | Not Severe | 111 | 22 | ||
Severe | 161 | 265 |
Analyze the data treating severity of injury as the response variable. Include the following pieces in your analysis:
- Fit a model with main effects and a model with all two wayinteractions. [10 pts]
- Report the goodness-of-fit test for both models.[10 pts]
- Use both the likelihood ratio test and Waldtest to compare the model with just main effects against the model with all two-wayinteractions. What do you conclude? [10pts]
- Report the estimates, standard errors, and Waldtests associated with each parameter in the main effects model. Give a table with the conditional odds ratiosforeachvariable,alongwith95%confidenceintervals(besuretoclearly state what the baseline group is for each odds ratio). [Hint: the connection between conditional odds ratio and the value of parameter] [20pts]
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