Table 5.
Number of sib pairs required to detect main effects of QTL and environment, and G × E interaction effects of different effect sizes, in the context of different allele frequencies, and different types of environments (categorical versus continuous) for power of .80 with α = .05 when all other effects are 0
| Effect size | Zero effects freely estimated | Zero effects fixed to zero | |||||
|---|---|---|---|---|---|---|---|
| Environment | Environment | ||||||
| b 1 = .2 | b 1 = .5 | Continuous | b 1 = .2 | b 1 = .5 | Continuous | ||
| Main effect QTLa | |||||||
| 1% | p = .2 | 3,607 | 1,441 | 737 | 600 | 600 | 600 |
| 2.5% | 1,400 | 561 | 288 | 235 | 235 | 235 | |
| 5% | 664 | 266 | 142 | 116 | 116 | 116 | |
| 1% | p = .5 | 2,290 | 921 | 473 | 385 | 385 | 385 |
| 2.5% | 890 | 359 | 185 | 151 | 151 | 151 | |
| 5% | 422 | 171 | 92 | 75 | 75 | 75 | |
| Main effect environmentb | |||||||
| 1% | p = .2 | 3,864 | 2,468 | 2,581 | 600 | 384 | 386 |
| 2.5% | 1,509 | 964 | 1,010 | 228 | 146 | 152 | |
| 5% | 716 | 458 | 490 | 110 | 71 | 75 | |
| 1% | p = .5 | 1,157 | 743 | 770 | 600 | 384 | 386 |
| 2.5% | 452 | 291 | 302 | 228 | 146 | 152 | |
| 5% | 216 | 139 | 147 | 110 | 71 | 75 | |
| Interactiona | |||||||
| 1% | p = .2 | 1,111 | 710 | 725 | 149 | 186 | 278 |
| 2.5% | 415 | 266 | 289 | 57 | 70 | 111 | |
| 5% | 186 | 120 | 142 | 27 | 33 | 55 | |
| 1% | p = .5 | 706 | 454 | 463 | 117 | 296 | 378 |
| 2.5% | 265 | 171 | 186 | 44 | 70 | 151 | |
| 5% | 119 | 77 | 92 | 21 | 33 | 75 | |
aThese power calculations assume 2 degrees of freedom
bThese power calculations assume 1 degree of freedom