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Refer to Table 11.13 on attitudes toward legalized abortion. For the response Y t (1=support legalization, 0=oppose.for question t ( t =1, 2, 3.and for gender g (1=female, 0=male., consider the model...

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Refer to Table 11.13 on attitudes toward legalized abortion. For the response Yt(1=support legalization, 0=oppose.for question (t=1, 2, 3.and for gender (1=female, 0=male., consider the model logit[P(Yt=1)]=α+γgtwith β3=0.

a. A GEE analysis using unstructured working correlation gives correlation estimates 0.826 for questions 1 and 2, 0.797 for 1 and 3,  and 0.832 for 2 and 3. What does this suggest about a reasonable working correlation structure?

b. Table 11.13 shows a GEE analysis with exchangeable working correlation. Interpret effects.

c. Treating the three responses for each subject as independent observations and performing ordinary logistic regression    Give a heuristic explanation of why within-subject standard errors are much larger than with GEE, yet the between-subject standard error is smaller.

Answered Same DayDec 29, 2021

Solution

David answered on Dec 29 2021
60 Votes
a) Since the co
elations are all roughly the same, we could use an exchangeable co
elation
structure.
) The odds of supporting the legalization of abortion were exp(0.15) = 1.16 times higher for
question one, which was statistically significant when compared to question 3. The odds of
supporting the legalization were exp(0.052) = 1.05 times higher with question...
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