Table 7.28 is from a General Social Survey. Subjects were asked whether methods of birth control should be available to teenagers between the ages of 14 and 16, and how often they attend religious services.
a. Fit the independence model, and use residuals to describe lack of fit.
b. Using equally spaced scores, fit the linear-by-linear association model. Describe the association.
c. Test goodness of fit of the model in (b); test independence in a way that uses the ordinality, and interpret.
d. Fit the L × L model using column scores {1, 2, 4, 5}. Repeat (b), and indicate whether results are substantively different with these scores.
e. Using formula (7.12) with the model in (d), explain why a fitted local log odds ratio using columns 2 and 3 is double a fitted local log odds ratio using columns 1 and 2 or columns 3 and 4. What is the relationship between the odds ratios?
