Table 8.12, from the 2016 General Social Survey, reports region of residence now and at age 16 for residents of the US.

a. Test marginal homogeneity by comparing fits of two models.

b. Fit the independence model and the quasi-independence (QI) model. Explain why the QI model gives a dramatic improvement in fit. (Hint: For the independence model, the standardized residuals are about 40 for the cells on the main diagonal;

what happens with these cells for the QI model?)

Table 8.12 Data from General Social Survey for Exercise 8.8.

Residence Now Residence at Age 16 Northeast Midwest South West Northeast 394 17 81 38 Midwest 8 596 74 59 South 29 32 769 35 West 10 24 35 417