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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 Outcomes from Three-Level Trials 197
Owing to the invariance over product of N
3
N
2
N
1
property, the other sam-
ple sizes can be determined as follows:
N
2
=
f
1
(1 + 1/λ
1
) z
2
α,φ
N
3
N
(0)
1
2
(1)
and
N
(0)
1
=
f
1
(1 + 1/λ
1
) z
2
α,φ
N
3
N
2
2
(1)
which is the sample size of the first level units in the control arm per second
level data unit.
6.3.3.3 Summary
The sample size N
3
in (6.15) or in (6.16) required for a desired magnitude of
statistical power is not a function of ρ
2
and decreases with increasing N
(0)
1
,
N
2
,
(1)
, and ρ
1
. Table 6.2 displays examples of statistical power for testing
the null hypothesis H
0
: δ
(1)
= 0, and shows that the statistical
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Publisher Resources

ISBN: 9781466556270