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Table 5 Power (%) for the ML-NP-EXACT and DerSimonian–Laird inverse-variance techniques heterogeneity τ2 = .8

From: Cannons and sparrows: an exact maximum likelihood non-parametric test for meta-analysis of k 2 × 2 tables

Row # Odds ratio Num. of studies Sample size Event (disease) probability
.005 .01 .05
ML-NP-EXACT DerSimon. Inv.-Var. ML-NP-EXACT DerSimon. Inv.-Var. ML-NP-EXACT DerSimon.
Inv.-Var.
1. 1.0 5 50 6.1 1.0 4.6 2.6 6.9 8.7
2. 1.25 5 50 7.7 1.6 7.0 5.2 10.0 10.8
3. 1.5 5 50 9.0 3.6 9.1 7.9 18.3 17.6
4. 1.75 5 50 10.0 4.6 11.2 9.2 24.2 20.6
5. 2.0 5 50 11.3 5.9 14.4 13.5 29.2 24.2
6. 1.0 5 100 4.5 3.0 5.5 6.1 10.3 12.0
7. 1.25 5 100 7.2 4.9 7.7 9.2 15.0 13.3
8. 1.5 5 100 8.6 7.7 9.9 11.3 22.3 19.1
9. 1.75 5 100 11.7 11.6 16.7 16.8 30.3 24.4
10. 2 5 100 15.3 14.6 18.5 19.8 37.6 29.3
11. 1.0 5 200 6.4 6.2 7.2 8.4 11.8 12.2
12. 1.25 5 200 7.7 9.0 9.7 10.9 19.6 15.1
13. 1.5 5 200 11.6 12.1 16.4 16.1 29.5 20.3
14. 1.75 5 200 14.8 15.8 20.4 20.9 39.0 25.8
15. 2 5 200 19.8 20.9 26.4 25.4 43.9 29.3
16. 1.0 10 50 6.0 1.7 5.4 3.3 7.3 9.4
17. 1.25 10 50 9.5 3.0 9.3 8.0 13.6 14.1
18. 1.5 10 50 12.3 5.5 13.1 12.8 22.8 23.1
19. 1.75 10 50 15.6 9.4 18.0 17.8 33.5 33.0
20. 2.0 10 50 18.4 12.8 22.1 22.3 41.1 41.2
21. 1.0 10 100 5.1 4.1 5.7 7.0 6.9 8.8
22. 1.25 10 100 8.6 7.8 11.3 12.9 16.3 14.5
23. 1.5 10 100 13.3 12.5 16.5 19.1 26.9 25.6
24. 1.75 10 100 17.1 17.7 22.7 27.3 38.6 36.6
25. 2 10 100 22.3 25.4 30.1 34.8 50.2 46.9
26. 1.0 10 200 5.6 7.0 5.3 8.5 8.1 9.5
27. 1.25 10 200 10.6 12.9 12.2 14.5 18.2 14.8
28. 1.5 10 200 16.3 20.3 21.1 24.2 28.7 25.2
29. 1.75 10 200 20.9 25.7 26.8 28.7 42.7 37.1
30. 2 10 200 30.6 36.0 37.7 40.3 49.2 44.8
31. 1.0 20 50 6.0 3.5 5.0 5.8 4.4 9.6
32. 1.25 20 50 8.9 6.1 10.0 14.4 13.8 22.5
33. 1.5 20 50 13.6 11.6 15.8 23.2 24.7 36.9
34. 1.75 20 50 19.3 19.0 23.9 34.5 40.2 53.2
35. 2.0 20 50 25.8 27.4 31.3 45.6 50.5 66.0
36. 1.0 20 100 5.0 5.6 4.0 8.5 4.8 8.5
37. 1.25 20 100 9.9 12.8 11.1 20.5 12.0 21.3
38. 1.5 20 100 15.4 23.2 18.2 34.3 27.3 38.6
39. 1.75 20 100 21.8 35.9 25.0 45.9 37.9 54.6
40. 2 20 100 30.0 46.9 38.2 60.1 56.2 71.2
41. 1.0 20 200 4.0 9.1 4.8 9.7 5.1 8.8
42. 1.25 20 200 8.9 19.8 10.2 21.5 15.4 21.6
43. 1.5 20 200 16.8 33.5 21.3 37.8 27.8 38.2
44. 1.75 20 200 27.0 48.3 34.7 53.2 43.8 56.6
45. 2 20 200 36.8 60.4 44.9 66.9 59.2 72.1
46. 1.0 40 50 6.6 3.3 5.5 9.6 4.4 11.4
47. 1.25 40 50 12.9 12.5 11.3 25.0 13.4 33.1
48. 1.5 40 50 17.9 25.0 18.4 44.5 29.7 65.1
49. 1.75 40 50 25.8 39.7 27.6 67.1 45.1 80.2
50. 2.0 40 50 30.9 55.2 37.6 78.4 61.7 93.4
51. 1.0 40 100 5.2 9.7 3.7 14.9 4.1 10.5
52. 1.25 40 100 10.6 25.3 8.5 36.7 15.7 37.1
53. 1.5 40 100 17.8 45.9 18.1 57.3 32.0 65.5
54. 1.75 40 100 25.8 64.8 30.0 76.1 51.7 83.5
55. 2 40 100 34.5 77.9 45.4 87.8 70.8 95.2
56. 1.0 40 200 2.6 14.6 3.4 13.0 3.6 10.3
57. 1.25 40 200 7.8 37.1 11.5 37.8 13.3 32.3
58. 1.5 40 200 17.2 59.7 26.5 61.9 32.8 61.7
59. 1.75 40 200 31.6 77.0 41.5 82.2 53.8 85.2
60. 2 40 200 46.2 89.3 57.4 93.1 74.0 94.6