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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 217
6.5.3.1 Balanced Allocations
For a balanced design, it is assumed that Σ
k
X
k
Z
k
= N
(1,1)
1
so that i =
1, 2, . . . , N
3
, j = 1, . . . , N
2
and k = 1, 2, . . . , 4N
(1,1)
1
. Specifically, N
(1,1)
1
rep-
resents the level 1 sample size assigned to the (X = 1, Z = 1) arm, or the
(1,1) cell, in a 2-by-2 factorial table of X and Z within the second level units,
N
3
is the level 3 sample size in total, and N
2
is the level 2 sample size per
third-level units. In a balanced design, the sample sizes of the other cells are
identical to N
(1,1)
1
, i.e., N
(1,1)
1
= N
(1,0)
1
= N
(0,1)
1
= N
(0,0)
1
. The following test
statistic ...
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Publisher Resources

ISBN: 9781466556270