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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 Clustered Outcomes 33
has a standard normal distribution with mean 0 and variance 1 for large n.
Under the alternative hypothesis (H
1
: p = p
1
), ˆσ
2
m
converges to σ
2
m
, where
σ
2
m
= p
1
(1 p
1
)
1
E[m + {1 + (m 1)ˆρ}
1
]
.
The required sample size against the alternative hypothesis H
1
: p = p
1
for a two–sided significance level of α and power of 1 β is
n
m
=
p
1
(1 p
1
)(z
1α/2
+ z
1β
)
2
(p
0
p
1
)
2
1
E[m + {1 + (m 1)ˆρ}
1
]
.
The sample size (n
m
) under minimum variance estimate is always smaller
than or equal to n
u
and n
c
.
2.3.2.4 Example
We use the data of Hujoel et al. [23] as a pilot data to illustrate sample
size calculation for clustered ...
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Publisher Resources

ISBN: 9781466556270