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. Author manuscript; available in PMC: 2023 Mar 25.
Published in final edited form as: AIDS Behav. 2022 Sep 13;27(4):1068–1081. doi: 10.1007/s10461-022-03844-w

Table 1.

Power and sample size calculations using the coefficient of variation between clusters in the Linkage to Care study in uThukela district between December 2017 – August 2019

Matched pairs

p1 p2 delta alpha Beta k1 k2 m1 m2 rho N
0.62 0.72 0.10 0.05 0.80 9 9 50 50 0.02 900

Where p - linkage to care proportions; delta – difference between proportions; alpha - z values used for calculating type 1 error; beta - z value used for calculating power; rho – inter-cluster correlation; m – average cluster size and k - number of clusters. N - sample size for study period allowing for cluster randomization