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

Table 3.

Example: design effects (DEs), total required study sizes (N), and number of clusters (k) required under each design given fixed total cluster sizes M and ICC (ρ)

Design constraints
CRT
CRT-BA
SW-CRT
M ρ t DECRT N k DEBA N k DESW N k
30 0.01 2 1.29 1,017 34 2.24 1,766 59 3.22 2,538 85
30 0.25 2 8.25 6,501 217 2.75 2,167 73 3.23 2,544 85
100 0.01 9 1.99 1,569 16 2.64 2,084 21 2.16 1,702 18
100 0.25 9 25.75 20,291 203 2.92 2,298 23 2.25 1,772 18

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, N and k are rounded up to the nearest integer.