STA 6207 – Data Analysis Assignment 4
You have been given a random sample of t=4 medical centers from a population of medical centers and a
random sample of r=5 patients from the population of patients at each center in your sample. A
measurement is made on each patient. Using the random effects model, answer the following questions
(you may run the Analysis in SAS, but estimates and confidence intervals may be easier to compute by
hand).
Yij    ai  eij
ai ~ NID(0, a2 ) eij ~ NID(0, e2 ) COV (ai , ei ' j )  0  i, i' , j
1) Set up the ANOVA table
2) Test H 0 :  a  0
H A :  a2  0 at =0.05 significance level
3) Give a point estimate of
 e2 and a 95% confidence interval for it.
4) Give a point estimate of
 a2 and a 95% confidence interval for it.
2
5) Give a point estimate of  Y
6) Give a point estimate of  and a 95% confidence interval for it (this would be an approximation).
7) Give a point estimate of  I and a 95% confidence interval for it.
2
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CARTWRIGHT
COL
COOPER
CUTLER
DOTSON
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GALATI
GORSUCH
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KRISHNASWAMI
KRSKA
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LI YA
LI YI
LI Z
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ROGERS
STRAUBER
SUN
TAN
WANG
WU
XU
YAP
ZHENG
DIAZ
MOUSSEAU
RILEY
KIM
COLEE
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