EPID 766: Analysis of Longitudinal Data from ... - NCSU Statistics

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CHAPTER 1 Epid 766, D. Zhang the true response (not y). The error term ǫij can be regarded as measurement error. 2. Stage 2: Treat the summary statistics as new responses and regress the summary statistics on one-time covariates. For example, after we got � bi0 and � bi1, we can calculate the means of � bi0 and � bi1 and the standard errors of those means, or do the following regressions � bi0 = α0 + α1xi1 + · · · + αpxip + ei0 � bi1 = β0 + β1xi1 + · · · + βpxip + ei1. Here, αk is the effect of xk on the true baseline response (not y), βk is the effect of xk on the change rate of of the true response. Graduate Summer Session in Epidemiology Slide 32
CHAPTER 1 Epid 766, D. Zhang 1.9 Analyzing Framingham data using two-stage method Example 1(a) The Framingham study: • Stage I: For each subject, fit and get estimates � bi0 and � bi1. SAS program for stage I: options ls=80 ps=200; data cholst; infile "cholst.dat"; input newid id cholst sex age year; run; proc sort; by newid year; run; proc print data=cholst (obs=20); var newid cholst sex age year; run; yij = bi0 + bi1tij + ǫij. Graduate Summer Session in Epidemiology Slide 33
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