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

Table 4.

Example: required total sample sizes per cluster (M) and total study size (N) under each design given fixed number of clusters k and ICC (ρ)

Design constraints
CRT
CRT-BA
SW-CRT
k ρ t M N M N M N
30 0.01 2 36 1,080 66 1,980 96 2,880
60 0.01 5 15 900 30 1,800 30 1,800
30 0.25 2 Infeasible (min number clusters 197) 76 2,280 90 2,700
60 0.25 5 38 2,280 30 1,800

Abbreviations: ICC, intracluster correlation coefficient; t, number of steps in the stepped wedge design; 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 788 observations under individual randomization. Note that both M and N are rounded up to the nearest integer.