HW-08New - HOMEWORK FOR EXST 7036(Chapter 8 Student Name...

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HOMEWORK FOR EXST 7036 (Chapter 8) Student Name: Tanza Erlambang 8.13. Table 8.12 from the 2004 General Social Survey, reports subjects' religious affiliation in 2004 and at age 16, for categories (1)Protestant, (2)Catholic, (3)Jewish, (4)none or other Table 8.12. Data for problem 8.13 --------------------------------------------------------------------------- Religious Affiliation Now Affiliation ---------------------------------------------- at Age 16 1 2 3 4 ------------------------------------------------------------------------------- 1 1228 39 2 158 2 100 649 1 107 3 1 0 54 9 4 73 12 4 137 -------------------------------------------------------------------------------- a. The symmetry model has deviance G 2 = 150.6 with df=6. Use residuals for the model (see equation 8.9) to analyze transition patterns between pairs of religions. Religious Affiliation The GENMOD Procedure Model Information Data Set WORK.RELIGIOUS Distribution Poisson Link Function Log Dependent Variable count Number of Observations Read 16 Number of Observations Used 16 1
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Class Level Information Class Levels Values symm 10 1 2 3 4 5 6 7 8 9 10 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 6 150.5875 25.0979 Scaled Deviance 6 150.5875 25.0979 Pearson Chi-Square 6 137.1435 22.8572 Scaled Pearson X2 6 137.1435 22.8572 Log Likelihood 13450.6506 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Confidence Chi- Parameter DF Estimate Error Limits Square Pr > ChiSq Intercept 1 4.9200 0.0854 4.7525 5.0874 3316.25 <.0001 symm 1 1 2.1932 0.0901 2.0166 2.3697 592.83 <.0001 symm 2 1 -0.6787 0.1204 -0.9146 -0.4427 31.78 <.0001 symm 3 1 -4.5145 0.5836 -5.6584 -3.3706 59.83 <.0001 symm 4 1 -0.1707 0.1078 -0.3821 0.0406 2.51 0.1134 symm 5 1 1.5555 0.0940 1.3712 1.7397 273.69 <.0001 symm 6 1 -5.6131 1.0036 -7.5802 -3.6460 31.28 <.0001 symm 7 1 -0.8340 0.1253 -1.0796 -0.5884 44.30 <.0001 symm 8 1 -0.9310 0.1607 -1.2459 -0.6161 33.57 <.0001 symm 9 1 -3.0482 0.2902 -3.6170 -2.4794 110.32 <.0001 symm 10 0 0.0000 0.0000 0.0000 0.0000 . . Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. Answer : More moves from (2) to (1), (1) to (4), (2) to (4) than we'd expect if symmetry truly held b. The quasi-symmetry model has deviance G 2 = 2.3 with df=3. Interpret Religious Affiliation The GENMOD Procedure Model Information Data Set WORK.RELIGIOUS Distribution Poisson Link Function Log Dependent Variable count
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