Analyze the 3*3*3*3 table on government spending in table 7.16 with a marginal cumulative logit model.

Interpret effects and show how to test marginal homogeneity.

224 7. LOGLINEAR MODELS FOR CONTINGENCY TABLES AND COUNTS Table 7.16 Opinions about government spending. Cities Law Enforcement 1 3 N Environment Health 2 3 1 2 3 2 3 5 0 74 19 11 3 2 3 62 11 2 11 1 42 18 0 13 9 0 0 2 0 17 7 3 3 4 0 0 0 0 90 22 2 21 6 2 2 2 0 20 6 4 2 31 14 3 8 5 3 2 2 2 1 2 3 1 1 1 0 9 0 3 0 3 0 0 0 0 0 2 3 1 The common response scale was (1 = too little, 2 = about right, 3 = too much). Compare the models with all two-factor and with all three-factor terms. For the homogeneous association model. estimate the conditional odds ratios using the too much and too little categories for each pair of variables. Summarize the associations. Rased on these results, which term(s) might you consider dropping from the model? 224 7. LOGLINEAR MODELS FOR CONTINGENCY TABLES AND COUNTS Table 7.16 Opinions about government spending. Cities Law Enforcement 1 3 N Environment Health 2 3 1 2 3 2 3 5 0 74 19 11 3 2 3 62 11 2 11 1 42 18 0 13 9 0 0 2 0 17 7 3 3 4 0 0 0 0 90 22 2 21 6 2 2 2 0 20 6 4 2 31 14 3 8 5 3 2 2 2 1 2 3 1 1 1 0 9 0 3 0 3 0 0 0 0 0 2 3 1 The common response scale was (1 = too little, 2 = about right, 3 = too much). Compare the models with all two-factor and with all three-factor terms. For the homogeneous association model. estimate the conditional odds ratios using the too much and too little categories for each pair of variables. Summarize the associations. Rased on these results, which term(s) might you consider dropping from the model