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Table 3 Power (%) for the ML-NP-EXACT and DerSimonian–Laird inverse-variance techniques heterogeneity τ2 = 0

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 Background 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 6.0 0.2 4.8 0.8 5.1 7.6
2. 1.25 5 50 7.9 0.3 6.7 1.8 9.5 8.5
3. 1.5 5 50 8.5 0.2 8.8 2.1 15.8 12.8
4. 1.75 5 50 8.2 0.6 12.6 4.4 21.7 18.0
5. 2.0 5 50 10.7 1.0 15.9 5.4 28.1 23.6
6. 1.0 5 100 4.4 0.5 4.7 2.8 5.7 9.0
7. 1.25 5 100 6.2 1.2 6.9 4.5 12.2 11.9
8. 1.5 5 100 8.2 2.0 10.8 6.3 20.3 16.5
9. 1.75 5 100 12.2 3.9 15.0 10.1 25.3 21.8
10. 2 5 100 14.0 5.4 19.7 15.1 36.7 28.1
11. 1.0 5 200 4.5 3.3 5.1 5.6 7.0 11.5
12. 1.25 5 200 7.6 5.0 9.3 8.5 15.0 13.3
13. 1.5 5 200 9.6 6.0 13.9 12.2 26.7 21.3
14. 1.75 5 200 15.0 8.3 19.8 16.7 38.2 29.4
15. 2 5 200 18.4 12.8 23.1 21.8 46.6 36.8
16. 1.0 10 50 4.0 0.3 4.8 1.1 5.3 7.1
17. 1.25 10 50 6.0 0.5 8.7 2.3 11.0 8.8
18. 1.5 10 50 8.7 1.2 11.8 3.9 22.2 18.5
19. 1.75 10 50 12.8 1.7 17.6 8.0 31.9 25.8
20. 2.0 10 50 14.6 3.6 21.2 11.6 44.0 39.4
21. 1.0 10 100 3.9 1.2 4.7 2.4 5.5 7.0
22. 1.25 10 100 6.8 1.7 7.6 5.1 14.5 11.4
23. 1.5 10 100 11.3 4.0 13.6 8.4 25.8 22.8
24. 1.75 10 100 18.6 7.5 21.5 16.1 40.5 36.1
25. 2 10 100 21.4 11.5 28.2 24.9 52.2 47.7
26. 1.0 10 200 3.5 2.6 4.0 6.1 7.2 10.4
27. 1.25 10 200 9.1 5.4 10.2 8.6 15.4 13.2
28. 1.5 10 200 15.7 9.6 16.1 13.9 29.3 26.6
29. 1.75 10 200 22.7 17.4 27.4 25.5 44.0 40.8
30. 2 10 200 27.8 23.4 37.0 36.9 57.5 56.2
31. 1.0 20 50 3.5 0.7 3.8 1.0 4.5 4.8
32. 1.25 20 50 6.3 1.0 8.9 1.9 14.5 11.4
33. 1.5 20 50 13.1 2.8 17.0 7.1 29.0 27.5
34. 1.75 20 50 17.6 4.8 23.9 14.9 48.1 47.0
35. 2.0 20 50 24.7 9.7 31.7 23.0 62.2 64.0
36. 1.0 20 100 3.8 1.1 4.5 3.8 4.8 6.8
37. 1.25 20 100 8.2 2.5 10.4 6.8 16.8 15.4
38. 1.5 20 100 16.8 6.9 18.9 15.5 35.6 34.7
39. 1.75 20 100 26.0 15.3 31.2 31.5 53.4 57.3
40. 2 20 100 31.5 23.8 40.4 45.1 69.8 75.8
41. 1.0 20 200 3.6 3.6 3.8 4.6 4.6 6.7
42. 1.25 20 200 9.6 5.9 11.8 11.7 16.6 17.6
43. 1.5 20 200 18.8 17.1 24.2 25.2 39.2 42.9
44. 1.75 20 200 28.2 31.2 37.6 44.1 59.8 66.3
45. 2 20 200 38.2 44.8 50.8 61.2 75.1 84.3
46. 1.0 40 50 5.0 0.8 5.3 1.6 3.6 4.5
47. 1.25 40 50 12.6 1.6 13.6 3.8 22.0 17.6
48. 1.5 40 50 20.8 5.0 26.5 14.0 49.0 45.9
49. 1.75 40 50 28.9 11.5 37.9 28.2 70.8 75.8
50. 2.0 40 50 37.3 20.7 48.3 48.6 83.4 91.0
51. 1.0 40 100 4.5 1.9 3.7 2.4 3.4 5.6
52. 1.25 40 100 13.6 4.6 14.1 9.6 24.3 22.7
53. 1.5 40 100 24.3 14.0 27.9 29.0 55.3 59.7
54. 1.75 40 100 35.9 29.5 40.9 53.9 77.3 85.9
55. 2 40 100 49.0 47.6 54.7 74.7 87.8 96.5
56. 1.0 40 200 3.0 3.0 3.1 5.6 3.8 5.9
57. 1.25 40 200 10.9 9.9 16.4 17.0 27.0 27.4
58. 1.5 40 200 29.4 29.7 36.3 44.4 58.7 66.9
59. 1.75 40 200 39.9 54.4 54.7 70.2 81.3 91.9
60. 2 40 200 51.9 75.9 65.6 87.8 92.1 98.5