29.11.2012 Views

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

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

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

CHAPTER 2 Epid <strong>766</strong>, D. Zhang<br />

I. Random intercept model:<br />

<strong>Data</strong> <strong>from</strong> m subjects:<br />

Subject Outcome Time Random<br />

1 y11, y12, ..., y1n1 t11, t12, ..., t1n1 b1<br />

2 y21, y22, ..., y2n2 t21, t22, ..., t2n2 b2<br />

· · ·<br />

i yi1, yi2, ..., yini ti1, ti2, ..., tini bi<br />

· · ·<br />

m ym1, ym2, ..., ymnm tm1, tm2, ..., tmnm bm<br />

Other covariates: xij2, ..., xijp, i = 1, ..., m, j = 1, ..., ni.<br />

A random intercept model assumes:<br />

intercept<br />

yij = β0 + β1tij + β2xij2 + · · · + βpxijp + bi + ǫij.<br />

Graduate Summer Session in Epidemiology Slide 50

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!