Table 4 The power comparisons based on 500 replicates. The underlying parameters are (β0, β1, β2) = (1, 1, 1), and (, , σ2, α) = (1, 1, 8, 0.5). The assumed s(t) is labeled as "c" for constant, "l" for s0 + s1t, and "q" for s0 + s1t + s2t2.
From: Linkage analysis of longitudinal data and design consideration
| Â | Â | Â | 200 sib pairs | 400 sib pairs | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
T |
| Assumed s(t) | Significance level | Significance level | ||||||
| Â | Â | Â | 0.05 | 0.01 | 0.001 | 0.0001 | 0.05 | 0.01 | 0.001 | 0.0001 |
True s(t) = 1 + 0. 1t | ||||||||||
5 | 0.224 | c | 0.35 | 0.12 | 0.02 | 0.00 | 0.59 | 0.34 | 0.12 | 0.02 |
| Â | Â | l | 0.41 | 0.17 | 0.05 | 0.01 | 0.70 | 0.45 | 0.19 | 0.07 |
| Â | Â | q | 0.35 | 0.13 | 0.03 | 0.004 | 0.63 | 0.38 | 0.14 | 0.05 |
4 | 0.196 | c | 0.28 | 0.09 | 0.01 | 0.00 | 0.47 | 0.22 | 0.05 | 0.01 |
| Â | Â | l | 0.30 | 0.10 | 0.02 | 0.00 | 0.51 | 0.28 | 0.06 | 0.01 |
| Â | Â | q | 0.25 | 0.05 | 0.02 | 0.004 | 0.44 | 0.24 | 0.05 | 0.02 |
2 | 0.143 | c | 0.15 | 0.02 | 0.00 | 0.00 | 0.30 | 0.09 | 0.00 | 0.00 |
| Â | Â | l | 0.12 | 0.032 | 0.00 | 0.00 | 0.21 | 0.07 | 0.01 | 0.00 |
| Â | Â | q | 0.06 | 0.004 | 0.00 | 0.00 | 0.09 | 0.02 | 0.00 | 0.00 |
5 | 0.1 | * | 0.32 | 0.11 | 0.02 | 0.00 | 0.53 | 0.28 | 0.06 | 0.01 |
1 | 0.1 | ** | 0.11 | 0.01 | 0.00 | 0.00 | 0.24 | 0.07 | 0.00 | 0.00 |
True s(t) = 1 | ||||||||||
5 | 0.146 | c | 0.16 | 0.04 | 0.01 | 0.00 | 0.28 | 0.12 | 0.02 | 0.00 |
| Â | Â | l | 0.11 | 0.04 | 0.01 | 0.00 | 0.22 | 0.07 | 0.01 | 0.00 |
| Â | Â | q | 0.10 | 0.02 | 0.00 | 0.00 | 0.18 | 0.06 | 0.00 | 0.00 |
4 | 0.135 | c | 0.13 | 0.03 | 0.0 | 0.00 | 0.28 | 0.07 | 0.02 | 0.00 |
| Â | Â | l | 0.09 | 0.02 | 0.00 | 0.00 | 0.20 | 0.05 | 0.00 | 0.00 |
| Â | Â | q | 0.08 | 0.02 | 0.00 | 0.00 | 0.15 | 0.03 | 0.01 | 0.00 |
2 | 0.112 | c | 0.11 | 0.02 | 0.00 | 0.00 | 0.19 | 0.04 | 0.00 | 0.00 |
| Â | Â | l | 0.09 | 0.02 | 0.00 | 0.00 | 0.14 | 0.02 | 0.00 | 0.00 |
| Â | Â | q | 0.06 | 0.01 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 | 0.00 |
5 | 0.1 | * | 0.15 | 0.03 | 0.01 | 0.00 | 0.26 | 0.09 | 0.01 | 0.01 |
1 | 0.1 | ** | 0.06 | 0.02 | 0.00 | 0.00 | 0.13 | 0.01 | 0.00 | 0.00 |
True s(t) = exp(t)/(1 + exp(t)) | ||||||||||
5 | 0.124 | c | 0.15 | 0.04 | 0.00 | 0.00 | 0.27 | 0.08 | 0.014 | 0.00 |
| Â | Â | l | 0.15 | 0.05 | 0.01 | 0.00 | 0.25 | 0.10 | 0.020 | 0.00 |
| Â | Â | q | 0.15 | 0.03 | 0.00 | 0.00 | 0.20 | 0.07 | 0.014 | 0.00 |
4 | 0.109 | c | 0.13 | 0.03 | 0.00 | 0.00 | 0.19 | 0.05 | 0.00 | 0.00 |
| Â | Â | l | 0.12 | 0.04 | 0.01 | 0.00 | 0.19 | 0.08 | 0.01 | 0.00 |
| Â | Â | q | 0.11 | 0.02 | 0.01 | 0.00 | 0.18 | 0.06 | 0.01 | 0.00 |
2 | 0.076 | c | 0.08 | 0.02 | 0.00 | 0.00 | 0.14 | 0.03 | 0.00 | 0.00 |
| Â | Â | l | 0.08 | 0.01 | 0.01 | 0.00 | 0.10 | 0.02 | 0.01 | 0.01 |
| Â | Â | q | 0.03 | 0.01 | 0.00 | 0.00 | 0.06 | 0.01 | 0.01 | 0.00 |
5 | 0.1 | * | 0.14 | 0.03 | 0.01 | 0.00 | 0.26 | 0.06 | 0.01 | 0.00 |
1 | 0.1 | ** | 0.06 | 0.01 | 0.00 | 0.00 | 0.10 | 0.01 | 0.00 | 0.00 |