Refer to Table 8.19. Subjects were asked their opinions about government spending on the environment (E), health (H), assistance to big cities (C), and law enforcement (L).

a. Table 8.20 shows some results, including the two-factor estimates, for the homogeneous association model. Check the fit, and interpret.

b. All estimates at category 3 of each variable equal 0. Report the estimated conditional odds ratios using the too much and too little categories for each pair of variables. Summarize the associations. Based on these results, which term(s) might you consider dropping from the model? Why?

c. Table 8.21 reports {λ̂_eh^EH} when parameters sum to zero within rows and within columns, and when parameters are zero in the first row and first column. Show how these yield the estimated EH conditional odds ratio for the too much and too little categories. Compare to part (b). Construct a confidence interval for that odds ratio. Interpret.

Table 8.19:

Table 8.20:

Table 8.21:

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Cities 2 Law 2 3 Enforcement: Environment Health 3 3 74 19 14 62 17 5 90 42 31 11 O 22 11 7 18 11 3 0 21 2 20 13 6. 2 4 3 1 1 00 2. Sum to Zero Constraints Zero for First Level н 3 Н 2 0.509 0.166 -0.676 -0.065 -0.445 1.413 2.142 0.309 -0.099 -0.068 0.163 0.513 0.720