Table 4.
Means and standard deviation of loglikelihood ratio tests simulation 1–3 based on 500 replications (Nmz = 1000; Ndz = 1000)
| b est | σA,C = 0 | σ2C = 0 given σA,C = 0 |
σ2C = 0 in ACE model |
|
|---|---|---|---|---|
| Simulation 1 | ||||
| Mean | No | 0.970a | 22.2 | 16.06 |
| sd | 1.423 | 8.88 | 7.344 | |
| Mean | Yes | 1.041a | 21.52 | 15.62 |
| sd | 1.515 | 8.94 | 7.49 | |
| Simulation 2 | ||||
| Mean | No | 15.11 | 25.12 | 37.16 |
| sd | 7.47 | 10.13 | 11.23 | |
| Mean | Yes | 13.51 | 25.99 | 36.63 |
| sd | 7.38 | 9.66 | 11.25 | |
| Simulation 3 | ||||
| Mean | No | 13.48 | 78.87 | 78.98 |
| sd | 7.16 | 15.40 | 15.96 | |
| Mean | Yes | 11.96 | 74.59 | 78.43 |
| sd | 6.65 | 16.93 | 17.05 | |
| Simulation 2b | ||||
| Mean | Yes | 13.92 | 25.54 | 36.66 |
| sd | 7.49 | 9.92 | 12.11 |
Means are the mean of the 1-df likelihood ratio test
b est: weights for PRS estimated (yes), or fixed to true values (no)
Simulation 1: r(A,C) = 0; σ2Ph = 0.20 + 0.30 + 0.20 + 0.30 = 1; r(MZ) = 0.70 & r(DZ) = 0.45; prPH = 0.2; pr2σAC = 0.0
Simulation 2: r(A, C) = 0.125/sqrt(0.5*0.091) = 0.586; σ2Ph = 1.141; r(MZ) = 0.74 & r(DZ) = 0.52; prPH = 0.141; pr2σAC = 0.353
Simulation 3: r(A,C) = 0.125/sqrt(0.5*0.308) = 0.318; σ2Ph = 1.358; r(MZ) = 0.78 & r(DZ) = 0.59; prPH = 0.147; pr2σAC = 0.368
aExpected mean value = 1, expected stdev = √2 = 1.414
bSubject to constraints of positive definiteness of the Ap–C and Aq–C covariance matrices