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Table 3 Power for comparison of HIV incidence in Arm A or B with Arm C, 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) with 5,206 person-years per community over 36 months

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 (%)

Power (%)

1.0

0.15

25%

57%

1.0

0.15

30%

74%

1.0

0.15

35%

87%

1.0

0.15

40%

95%

1.0

0.15

45%

99%

1.0

0.15

50%

100%

1.0

0.15

55%

100%

1.0

0.15

60%

100%

1.0

0.15

65%

100%

1.0

0.20

25%

44%

1.0

0.20

30%

60%

1.0

0.20

35%

75%

1.0

0.20

40%

87%

1.0

0.20

45%

94%

1.0

0.20

50%

98%

1.0

0.20

55%

99%

1.0

0.20

60%

100%

1.0

0.20

65%

100%

1.5

0.15

25%

64%

1.5

0.15

30%

81%

1.5

0.15

35%

92%

1.5

0.15

40%

98%

1.5

0.15

45%

100%

1.5

0.15

50%

100%

1.5

0.15

55%

100%

1.5

0.15

60%

100%

1.5

0.15

65%

100%

1.5

0.20

25%

48%

1.5

0.20

30%

65%

1.5

0.20

35%

80%

1.5

0.20

40%

91%

1.5

0.20

45%

96%

1.5

0.20

50%

99%

1.5

0.20

55%

100%

1.5

0.20

60%

100%

1.5

0.20

65%

100%