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. 2016 Jan;69:137–146. doi: 10.1016/j.jclinepi.2015.08.015

Table 2.

Design effects to determine the required study sample size given a fixed sample size from each cluster (M)

M ρ CRT
CRT-BA
SW-CRT
Design effect Implied r Design effect t Design effect
30 0.001 1.03 0.01 2.03 2 3.03
30 0.01 1.29 0.13 2.24 2 3.22
30 0.05 2.45 0.44 2.74 2 3.58
30 0.1 3.90 0.63 2.93 2 3.63
30 0.25 8.25 0.83 2.75 2 3.23
60 0.001 1.06 0.03 2.06 5 1.92
60 0.01 1.59 0.23 2.44 5 2.20
60 0.05 3.95 0.61 3.06 5 2.61
60 0.1 6.90 0.77 3.18 5 2.65
60 0.25 15.75 0.91 2.86 5 2.33
150 0.001 1.15 0.07 2.14 2 3.13
150 0.01 2.49 0.43 2.83 2 3.72
150 0.05 8.45 0.80 3.42 2 4.05
150 0.1 15.90 0.89 3.41 2 3.94
150 0.25 38.25 0.96 2.94 2 3.34
300 0.001 1.30 0.13 2.26 5 2.07
300 0.01 3.99 0.60 3.17 5 2.70
300 0.05 15.95 0.89 3.59 5 2.93
300 0.1 30.90 0.94 3.50 5 2.83
300 0.25 75.75 0.98 2.97 5 2.39

Abbreviations: ρ, intracluster correlation coefficient; t, number of steps; CRT, cluster randomized trial; CRT-BA, cluster randomized trial with before and after observations; SW-CRT, stepped wedge cluster randomised trial.