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Table 4 Power for comparison of HIV incidence between Arms A and B, with 7 communities per arm and Population Cohort of 2,500 adults per community (assuming that on average 2,125 (85%) will be HIV-uninfected at baseline and that loss to follow-up will be 20% after 2 years and 25% after 3 years)

From: HPTN 071 (PopART): Rationale and design of a cluster-randomised trial of the population impact of an HIV combination prevention intervention including universal testing and treatment – a study protocol for a cluster randomised trial

HIV incidence rate/100 py (control arm)

Between-cluster coefficient of variation (k)

Effectiveness (%) Arm A

Effectiveness (%) Arm B

Power (%)

1.0

0.15

50%

20%

89%

1.0

0.15

50%

25%

78%

1.0

0.15

55%

25%

92%

1.0

0.15

55%

30%

82%

1.0

0.15

60%

25%

98%

1.0

0.15

60%

30%

94%

1.0

0.15

65%

25%

99%

1.0

0.15

65%

30%

99%

1.0

0.20

50%

20%

78%

1.0

0.20

50%

25%

65%

1.0

0.20

55%

25%

83%

1.0

0.20

55%

30%

71%

1.0

0.20

60%

25%

93%

1.0

0.20

60%

30%

87%

1.0

0.20

65%

25%

98%

1.0

0.20

65%

30%

96%

1.5

0.15

50%

20%

94%

1.5

0.15

50%

25%

86%

1.5

0.15

55%

25%

96%

1.5

0.15

55%

30%

90%

1.5

0.15

60%

25%

99%

1.5

0.15

60%

30%

98%

1.0

0.20

65%

25%

99%

1.0

0.20

65%

30%

99%

1.5

0.20

50%

20%

84%

1.5

0.20

50%

25%

72%

1.5

0.20

55%

25%

88%

1.5

0.20

55%

30%

78%

1.5

0.20

60%

25%

96%

1.5

0.20

60%

30%

92%

1.0

0.20

65%

25%

99%

1.0

0.20

65%

30%

98%