GSS2012 How does the amount of education of ones parents PAE

GSS2012* How does the amount of education of one\'s parents (PAEDUC, MAEDUC) affect your education (EDUC)?

a. Develop a regression model

b. Test the validity of the model

c. Test the two slope coefficients

d. Interpret the coefficients

Calculate the correlation between the father\'s and the mother\'s years of education. Is there any sign of multicollinearity? Explain.

Solution

ere is a joint frequency table based on sample data. paeduc * maeduc Crosstabulation Count maeduc Total 0-11 12 13-15 16+ paeduc 0-11 283 141 25 4 453 12 82 180 43 14 319 13-15 20 104 43 20 187 16+ 4 52 41 69 166 Total 389 477 152 107 1125 Suppose you have a known population marginal counts: Paeduc Maeduc 0-11 19933782 18052065 12 13275913 17859905 13-16 5186996 5101589 16+ 6200883 3584015 The sample table contains information about the association between PAEDUC and MAEDUC, while the population marginals reflect true marginal proportions. The information can be combined using LOGINEAR, available in syntax only. To do so, first use the population marginals to obtain cell counts. One way to do this is - on a cell-by-cell basis - take the row total times the column total divided by the table total. We have done so and named the result POPCOUNT. Here are the data. FREQ Paeduc Maeduc Popcount 283 1 1 8068733 141 1 2 7982843 25 1 3 2280258 4 1 4 1601948 82 2 1 5373782 180 2 2 5316579 43 2 3 1518653 14 2 4 1066898 20 3 1 2099576 104 3 2 2077226 43 3 3 593349 20 3 4 416845 4 4 1 2509974 52 4 2 2483256 41 4 3 709329 69 4 4 498324