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Table 1 Sample size calculations for power of 80% (two-sided, 5% significance level), based on sample of 5000 individuals per community and allowing for 20% losses, for each of the main comparisons (ECF vs non-ECF & HH vs non-HH)

From: ZAMSTAR, The Zambia South Africa TB and HIV Reduction study: Design of a 2 × 2 factorial community randomized trial

Prevalence (%) in Control arm

Reduction in Prevalence due to each intervention (ECF or HH) individually

Prevalence (%) in ECF or HH arm

Overall number of communities needed (equally split into 4 arms)

k = 0.15

   

0.6

30%

0.42

24

0.8

30%

0.56

20

1.0

30%

0.7

18

1.0

20%

0.8

41

1.0

10%

0.9

168

k = 0.2

   

0.6

30%

0.42

30

0.8

30%

0.56

26

1.0

30%

0.7

24

1.0

20%

0.8

54

1.0

10%

0.9

227

k = 0.25

   

0.6

30%

0.42

45

0.8

30%

0.56

42

1.0

30%

0.7

39

1.0

20%

0.8

93

1.0

10%

0.9

398

  1. k = between-cluster coefficient of variation