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

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CHAPTER 1 Epid 766, D. Zhang 2. However, the variability measures (e.g, the SEs from a classical regression analysis) are not right: sometimes smaller, sometimes bigger than the true variability. 3. Therefore, the inference is not valid (too significant than it should be if the SE is too small). Sources of variation and correlation in longitudinal data: 1. Between-subject variation: For the blood pressure example, if each subject’s blood pressures were measured within a relatively short time, then the following model may be a reasonable one: yij = bi + eij, where bi is the true blood pressure of subject i, eij is the independent (random) measurement error, independent of bi. Graduate Summer Session in Epidemiology Slide 26
CHAPTER 1 Epid 766, D. Zhang For j �= k, corr(yij, yik) = = cov(yij, yik) � var(yij)var(yik) σ 2 b σ 2 b + σ2 e Therefore, if the between-subject variation σ2 b the same subjects are correlated. . �= 0, then data from Graduate Summer Session in Epidemiology Slide 27
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