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Sample Size Calculations for Clustered and Longitudinal Outcomes in Clinical Research
book

Sample Size Calculations for Clustered and Longitudinal Outcomes in Clinical Research

by Chul Ahn, Moonseoung Heo, Song Zhang
December 2014
Intermediate to advanced content levelIntermediate to advanced
260 pages
8h 51m
English
Chapman and Hall/CRC
Content preview from Sample Size Calculations for Clustered and Longitudinal Outcomes in Clinical Research
Sample Size Determination for Correlated Outcomes Using GEE 103
Under H
0
, the first term on the right-hand side of (4.13) equals 0. By applying
the central limit theorem to (4.13), under H
0
, B is approximately normal with
mean 0 and variance V that can be consistently estimated by
ˆ
V = (ˆv
kk
0
) with
ˆv
kk
0
=
1
n 2K
K
X
l=1
n
l
X
i=1
m
X
j=1
(ξ
kl
w
lij
˜w
lij
) ˆ
lij
m
X
j=1
(ξ
k
0
l
w
lij
˜w
lij
) ˆ
lij
,
where ˆ
kij
= y
kij
ˆ
θ
k
ˆ
β
k
t
j
. In the denominator of ˆv
kk
0
, 2K corresponds
to the number of parameters {(θ
k
, β
k
), 1 k K} estimated to obtain the
residuals ˆ
kij
. We reject H
0
with type I error α if B
0
ˆ
V
1
B > χ
2
K1,1α
where
χ
2
v,1α
is the 100(1α)th percentile of a c ...
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Publisher Resources

ISBN: 9781466556270