Refer to the loglinear models for Table 8.8.
a.Explain why the fitted odds ratios in Table 8.10 for model (GI,GL,GS,IL,IS,LS)suggest that the most likely accident case for injury is females not wearing seat belts in rural locations.
b.Fit model(GLS,GI,IL,IS). Using model parameter estimates, show that the fittedISconditional odds ratio equals 0.44. Show that for each injury level, the estimated conditionalLSodds ratio is 1.17 for(G=female)and 1.03 for (G=male). How can you get these using the model parameter estimates?
TABLE 8.8 Loglinear Models for Injury, Seat-Belt Use, Gender, and Locationa
Gender
Location
Seat Belt
Injury
(GI, GL, GS, IL, IS, LS)
(GLS, GI, IL, IS
Sample Proportion Yes
No
Yes
Female
Urban
7,287
996
7,166.4
993.0
7,273.2
1,009.8
0.12
11,587
759
11,748.3
721.3
11,632.6
713.4
0.06
Rural
3,246
973
3,353.8
988.8
3,254.7
964.3
0.23
6,134
757
5,985.5
781.9
6,093.5
797.5
0.11
Male
10,381
812
10,471.5
845.1
10,358.9
834.1
0.07
10,969
380
10,837.8
387.6
10,959.2
389.8
0.03
6,123
1,084
6,045.3
1,038.1
6,150.2
1,056.8
0.15
6,693
513
6,811.4
518.2
6,697.6
508.4
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