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Table 4 Power (%) for the ML-NP-EXACT and DerSimonian–Laird inverse-variance techniques heterogeneity τ2 = .4

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 7.1 0.4 5.0 1.6 6.1 8.7
2. 1.25 5 50 7.9 0.5 7.6 3.2 10.3 10.9
3. 1.5 5 50 9.0 1.4 9.1 4.7 15.7 15.5
4. 1.75 5 50 9.6 2.0 11.0 7.3 22.3 19.8
5. 2.0 5 50 12.4 2.9 13.3 8.6 29.9 27.3
6. 1.0 5 100 5.0 1.9 4.7 3.9 6.7 10.0
7. 1.25 5 100 7.4 3.1 8.2 6.2 14.4 13.2
8. 1.5 5 100 9.0 4.7 11.3 9.3 20.7 17.3
9. 1.75 5 100 11.8 6.2 13.8 11.9 30.9 25.7
10. 2 5 100 13.5 9.1 19.6 18.5 38.0 30.1
11. 1.0 5 200 4.0 4.1 4.8 7.1 8.8 10.5
12. 1.25 5 200 8.7 7.6 8.3 9.7 18.3 15.6
13. 1.5 5 200 11.2 9.3 13.6 14.3 27.5 21.0
14. 1.75 5 200 14.6 13.6 17.5 17.8 38.3 28.0
15. 2 5 200 18.0 17.9 24.8 24.2 46.2 34.7
16. 1.0 10 50 4.6 0.7 5.2 2.6 5.7 7.4
17. 1.25 10 50 7.5 1.5 7.9 3.7 13.0 12.5
18. 1.5 10 50 11.1 3.0 12.8 7.7 21.1 20.7
19. 1.75 10 50 13.7 5.2 18.2 13.1 28.4 28.6
20. 2.0 10 50 17.8 8.5 22.4 18.2 40.1 39.6
21. 1.0 10 100 5.8 1.8 4.8 4.9 5.9 8.2
22. 1.25 10 100 8.3 4.4 8.5 8.7 14.5 14.6
23. 1.5 10 100 12.1 7.7 15.0 15.7 24.8 23.7
24. 1.75 10 100 16.7 13.6 20.9 22.3 36.2 33.3
25. 2 10 100 22.1 18.0 28.0 30.3 48.5 46.2
26. 1.0 10 200 5.1 5.1 4.8 7.7 6.6 8.2
27. 1.25 10 200 7.9 9.2 9.9 12.9 15.5 15.5
28. 1.5 10 200 14.5 15.4 16.6 18.7 28.0 25.1
29. 1.75 10 200 20.0 21.4 25.7 27.5 39.4 38.5
30. 2 10 200 27.5 30.6 34.2 38.1 51.7 49.3
31. 1.0 20 50 5.5 1.5 4.9 2.4 3.9 6.9
32. 1.25 20 50 9.2 3.4 8.7 6.9 12.4 15.8
33. 1.5 20 50 13.3 6.2 14.7 15.1 24.1 33.6
34. 1.75 20 50 18.9 12.9 22.5 25.8 38.3 49.6
35. 2.0 20 50 24.0 18.6 27.4 36.7 54.2 66.0
36. 1.0 20 100 4.8 2.8 4.2 4.9 3.9 7.7
37. 1.25 20 100 9.5 6.4 9.0 13.5 14.2 19.7
38. 1.5 20 100 14.4 16.2 16.0 25.6 27.8 37.6
39. 1.75 20 100 20.8 24.8 26.2 40.4 42.0 57.3
40. 2 20 100 27.9 37.3 35.2 53.7 57.3 72.8
41. 1.0 20 200 4.5 5.9 5.1 8.3 5.1 7.8
42. 1.25 20 200 9.3 13.4 9.7 16.6 14.3 20.7
43. 1.5 20 200 16.4 25.7 17.8 31.8 27.5 37.5
44. 1.75 20 200 25.1 41.3 28.8 49.8 44.8 59.7
45. 2 20 200 34.5 55.5 43.6 66.5 61.9 77.4
46. 1.0 40 50 7.0 2.1 5.5 3.0 5.5 8.5
47. 1.25 40 50 13.6 5.1 13.2 11.6 18.6 28.3
48. 1.5 40 50 20.0 14.0 21.5 30.3 31.5 54.1
49. 1.75 40 50 25.5 25.4 27.1 50.4 49.7 79.5
50. 2.0 40 50 32.5 39.3 37.0 66.9 65.8 91.5
51. 1.0 40 100 5.7 3.4 3.9 7.6 4.0 6.1
52. 1.25 40 100 12.2 15.7 10.4 22.7 19.8 31.1
53. 1.5 40 100 19.4 29.7 19.2 48.7 36.4 63.1
54. 1.75 40 100 27.9 50.4 30.1 71.5 54.9 83.8
55. 2 40 100 36.9 69.9 43.4 85.5 72.5 95.2
56. 1.0 40 200 3.6 7.7 3.2 7.6 5.2 8.6
57. 1.25 40 200 9.9 23.8 11.0 27.3 19.7 31.4
58. 1.5 40 200 17.8 46.8 22.7 56.3 36.9 64.6
59. 1.75 40 200 28.1 70.8 37.1 80.3 59.1 86.0
60. 2 40 200 40.8 85.9 52.7 92.0 76.1 96.4