Table 4.
95% one-sided confidence limits above which the estimated N R is significantly higher than 5k + 10, which is the rule of thumb suggested by Rosenthal [11]. k represents the number of studies included in a meta-analysis. We choose the variance from a fixed number of studies when the Z i are drawn from a half normal distribution HN(0, 1), as this performed best in the simulations.
k | Cutoff point | k | Cutoff point | k | Cutoff point | k | Cutoff point |
---|---|---|---|---|---|---|---|
1 | 17 | 41 | 369 | 81 | 842 | 121 | 1394 |
2 | 26 | 42 | 380 | 82 | 855 | 122 | 1409 |
3 | 35 | 43 | 390 | 83 | 868 | 123 | 1424 |
4 | 45 | 44 | 401 | 84 | 881 | 124 | 1438 |
5 | 54 | 45 | 412 | 85 | 894 | 125 | 1453 |
6 | 63 | 46 | 423 | 86 | 907 | 126 | 1468 |
7 | 71 | 47 | 434 | 87 | 920 | 127 | 1483 |
8 | 79 | 48 | 445 | 88 | 934 | 128 | 1498 |
9 | 86 | 49 | 456 | 89 | 947 | 129 | 1513 |
10 | 93 | 50 | 467 | 90 | 960 | 130 | 1528 |
11 | 99 | 51 | 479 | 91 | 973 | 131 | 1543 |
12 | 106 | 52 | 490 | 92 | 987 | 132 | 1558 |
13 | 112 | 53 | 501 | 93 | 1000 | 133 | 1573 |
14 | 118 | 54 | 513 | 94 | 1014 | 134 | 1588 |
15 | 125 | 55 | 524 | 95 | 1027 | 135 | 1603 |
16 | 132 | 56 | 536 | 96 | 1041 | 136 | 1619 |
17 | 140 | 57 | 547 | 97 | 1055 | 137 | 1634 |
18 | 147 | 58 | 559 | 98 | 1068 | 138 | 1649 |
19 | 155 | 59 | 571 | 99 | 1082 | 139 | 1664 |
20 | 164 | 60 | 582 | 100 | 1096 | 140 | 1680 |
21 | 172 | 61 | 594 | 101 | 1109 | 141 | 1695 |
22 | 181 | 62 | 606 | 102 | 1123 | 142 | 1711 |
23 | 190 | 63 | 618 | 103 | 1137 | 143 | 1726 |
24 | 199 | 64 | 630 | 104 | 1151 | 144 | 1742 |
25 | 209 | 65 | 642 | 105 | 1165 | 145 | 1757 |
26 | 218 | 66 | 654 | 106 | 1179 | 146 | 1773 |
27 | 228 | 67 | 666 | 107 | 1193 | 147 | 1788 |
28 | 237 | 68 | 679 | 108 | 1207 | 148 | 1804 |
29 | 247 | 69 | 691 | 109 | 1221 | 149 | 1820 |
30 | 257 | 70 | 703 | 110 | 1236 | 150 | 1835 |
31 | 266 | 71 | 716 | 111 | 1250 | 151 | 1851 |
32 | 276 | 72 | 728 | 112 | 1264 | 152 | 1867 |
33 | 286 | 73 | 740 | 113 | 1278 | 153 | 1883 |
34 | 296 | 74 | 753 | 114 | 1293 | 154 | 1899 |
35 | 307 | 75 | 766 | 115 | 1307 | 155 | 1915 |
36 | 317 | 76 | 778 | 116 | 1322 | 156 | 1931 |
37 | 327 | 77 | 791 | 117 | 1336 | 157 | 1947 |
38 | 338 | 78 | 804 | 118 | 1351 | 158 | 1963 |
39 | 348 | 79 | 816 | 119 | 1365 | 159 | 1979 |
40 | 358 | 80 | 829 | 120 | 1380 | 160 | 1995 |