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

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CHAPTER 1 Epid 766, D. Zhang S 2b0 Summary statistics from stage 1: Parameter mean SE t P[T ≥ |t|] � b0 221 3 75 < .0001 � b1 2.55 0.257 10 < .0001 �corr( � b0, � b1) = −0.27 Note: = 1738, S 2b1 = 13.2. 1. Similar to the blood pressure example, we can use the sample means of � b0 and � b1 to estimate the means of b0 and b1. Hence we can use sample mean of � b1 (2.55) its SE (0.257) to answer the first objective of this study. 2. However, since var( � bi0) and var( � bi1) contain variability due to estimating the true baseline response bi0 and change rate bi1 for individual i, so var( � bi0) > var(bi0), var( � bi1) > var(bi1). Graduate Summer Session in Epidemiology Slide 36
CHAPTER 1 Epid 766, D. Zhang Sample variances S2b0 and S2b1 are unbiased estimates of var( �bi0) and var( �bi1) and would overestimate var(bi0) and var(bi1). 3. Similarly, corr( � b0, � b1) �= corr(b0, b1). Therefore, �corr( � b0, � b1) = −0.27 cannot be used to estimate the correlation between the true baseline response b0 and true change rate b1. 4. We will use mixed model approach to address the above issues later. Graduate Summer Session in Epidemiology Slide 37
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