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.