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. Author manuscript; available in PMC: 2018 Jul 1.
Published in final edited form as: Prev Sci. 2017 Jul;18(5):526–533. doi: 10.1007/s11121-017-0788-y

Table II.

Critical values of the number of significant positive results needed to reject the null hypothesis at α < 0.05 for different numbers of outcomes (n), at each level of correlation between outcomes.

n Correlation between outcomes
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
5 2 2 2 2 2 2 2 2 2 2
6 2 2 2 2 2 2 2 2 2 2
7 2 2 2 2 2 2 2 2 2 2
8 2 2 2 2 2 2 2 2 2 2
9 2 2 2 2 2 2 2 2 2 2
10 2 2 2 2 3 3 3 3 2 2
11 2 2 2 3 3 3 3 3 3 2
12 2 2 3 3 3 3 3 3 3 2
13 2 3 3 3 3 3 3 3 3 2
14 2 3 3 3 3 3 3 3 3 2
15 3 3 3 3 3 3 3 3 3 3
16 3 3 3 3 3 3 4 3 3 3
17 3 3 3 3 3 4 4 4 3 3
18 3 3 3 3 4 4 4 4 4 3
19 3 3 3 3 4 4 4 4 4 3
20 3 3 3 4 4 4 4 4 4 3
21 3 3 3 4 4 4 4 4 4 3
22 3 3 3 4 4 4 4 4 4 3
23 3 3 4 4 4 4 4 4 4 3
24 3 3 4 4 4 4 5 5 4 4
25 3 3 4 4 4 5 5 5 5 4
26 3 4 4 4 4 5 5 5 5 4
27 3 4 4 4 5 5 5 5 5 4
28 3 4 4 4 5 5 5 5 5 4
29 3 4 4 5 5 5 5 5 5 4
30 3 4 4 5 5 5 5 5 5 4
31 3 4 4 5 5 5 6 6 5 4
32 3 4 4 5 5 6 6 6 6 4
33 3 4 4 5 5 6 6 6 6 4
34 4 4 5 5 5 6 6 6 6 5
35 4 4 5 5 6 6 6 6 6 5
36 4 4 5 5 6 6 6 6 6 5
37 4 4 5 5 6 6 6 7 6 5
38 4 4 5 5 6 6 7 7 6 5
39 4 4 5 6 6 6 7 7 6 5
40 4 4 5 6 6 7 7 7 7 5
41 4 5 5 6 6 7 7 7 7 5
42 4 5 5 6 6 7 7 7 7 5
43 4 5 5 6 6 7 7 7 7 6
44 4 5 5 6 7 7 7 8 7 6
45 4 5 6 6 7 7 8 8 7 6
46 4 5 6 6 7 7 8 8 8 6
47 4 5 6 6 7 7 8 8 8 6
48 4 5 6 6 7 8 8 8 8 6
49 4 5 6 7 7 8 8 8 8 6
50 4 5 6 7 7 8 8 8 8 6