Table 4.
Summary statistics for estimates under a gene-gene interaction model, logit(Pr(D = 1| G1, G2, G3, E)) = a + b1G1 + b2G2 + b3G3 + b4E + β5G1 × G2
| Type | b1 = 0.405 | b2 = 0.405 | b3 = 0.405 | b4 = 0.693 | b5 = 1.100 |
|---|---|---|---|---|---|
| n1 = 250, n2 = 250 | |||||
| Triads | 0.372 (0.255, 0.251, 94.4) | 0.377 (0.264, 0.251, 94.3) | 0.363 (0.214, 0.218, 95.0) | – | 0.863 (0.382, 0.369, 89.1) |
| CC | 0.409 (0.260, 0.258, 95.6) | 0.411 (0.264, 0.258, 94.8) | 0.421 (0.234, 0.229, 94.9) | 0.701 (0.216, 0.219, 95.2) | 1.210 (1.030, 0.567, 95.1) |
| Combined | 0.393 (0.219, 0.219, 95.0) | 0.397 (0.228, 0.219, 94.5) | 0.384 (0.186, 0.188, 95.3) | 0.694 (0.213, 0.217, 95.7) | 0.926 (0.375, 0.359, 98.0) |
| n1 = 375, n2 = 375 | |||||
| Triads | 0.379 (0.200, 0.204, 95.1) | 0.377 (0.213, 0.204, 94.6) | 0.362 (0.179, 0.178, 95.0) | – | 0.857 (0.307, 0.300, 85.7) |
| CC | 0.402 (0.208, 0.209, 95.3) | 0.397 (0.217, 0.210, 95.2) | 0.412 (0.176, 0.186, 95.5) | 0.702 (0.177, 0.178, 94.7) | 1.160 (0.456, 0.454, 95.6) |
| Combined | 0.395 (0.173, 0.178, 96.0) | 0.392 (0.187, 0.178, 94.3) | 0.381 (0.147, 0.153, 96.1) | 0.696 (0.176, 0.177, 94.7) | 0.926 (0.299, 0.292, 90.0) |
| n1 = 500, n2 = 500 | |||||
| Triads | 0.375 (0.170, 0.176, 95.7) | 0.377 (0.181, 0.177, 94.6) | 0.363 (0.157, 0.154, 93.6) | – | 0.856 (0.258, 0.260, 81.0) |
| CC | 0.410 (0.174, 0.181, 95.8) | 0.402 (0.182, 0.181, 94.2) | 0.407 (0.161, 0.161, 94.7) | 0.693 (0.150, 0.154, 96.2) | 1.130 (0.395, 0.390, 95.6) |
| Combined | 0.399 (0.147, 0.154, 96.4) | 0.395 (0.156, 0.154, 94.0) | 0.381 (0.133, 0.133, 94.9) | 0.688 (0.149, 0.152, 96.1) | 0.918 (0.250, 0.252, 88.2) |
The results are based on 1000 simulated datasets, each consisting of n1 case-parent triads and n2 unrelated controls. ‘Triads' refers to using only triad data for estimation; ‘CC’ refers to using only cases (not parents) and unrelated controls; ‘Combined’ refers to using both case-parents and unrelated controls. Each entry lists the mean estimate (standard deviation of the estimates, mean of the estimated standard error, 95% coverage probability) over the 1000 simulated datasets. – = The main effect of the environmental covariate is unestimable from triads-only.