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

Table 5.

Example: effect of increasing the cluster size (M) given a fixed number of clusters (k) under the three designs

Design constraints
CRT
CRT-BA
CRT-SW
k ρ M N Power (%) N Power (%) N t m = M/(t + 1) Power (%)
10 0.01 100 1,000 61 1,000 49 1,020a 5 17 55
10 0.01 300 3,000 78 3,000 87 3,000 5 50 91
10 0.1 100 1,000 16 1,000 41 1,020a 5 17 49
10 0.1 300 3,000 16 3,000 83 3,000 5 50 90

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

Example relates to a trial requiring 786 (z-test) observations under individual randomization.

a

Total sample size is 1,020 due to constraints with m having to be a multiple of (t + 1).