Table 1 Parameter levels on the three factorial designs, with respective total number of cells for each design simulation
From: MR-DoC2: Bidirectional Causal Modeling with Instrumental Variables and Data from Relatives
θ | Design 1 (ACE) | Design 2 (AE) | Design 3 (AE) |
|---|---|---|---|
b1 | \(\sqrt{0.025}\), \(\sqrt{0.05}\) | \(\sqrt{0.025}\), \(\sqrt{0.05}\),\(\sqrt{0.075}\) | \(-\sqrt{0.075}\), \(-\sqrt{0.03}\), \(\sqrt{0.03}\), \(\sqrt{0.075}\) |
b3 | \(\sqrt{0.025}\), \(\sqrt{0.05}\) | \(\sqrt{0.025}\), \(\sqrt{0.05}\), \(\sqrt{0.075}\) | \(-\sqrt{0.075}\), \(-\sqrt{0.03}\), \(\sqrt{0.03}\), \(\sqrt{0.075}\) |
g1 | \(\sqrt{0.020}\), \(\sqrt{0.05}\) | \(\sqrt{0.020}\), \(\sqrt{0.04}\), \(\sqrt{0.06}\) | \(-\sqrt{0.050}\), \(-\sqrt{0.020}\), \(\sqrt{0.050}\), \(\sqrt{0.020}\) |
g2 | \(\sqrt{0.020}\), \(\sqrt{0.05}\) | \(\sqrt{0.020}\), \(\sqrt{0.04}\), \(\sqrt{0.06}\) | \(-\sqrt{0.050}\), \(-\sqrt{0.020}\), \(\sqrt{0.050}\), \(\sqrt{0.020}\) |
ra | 0.25, 0.50 | 0.0, 0.25, 0.50 | 0.3 |
rc | 0.25, 0.50 | 0 | 0 |
re | 0.25, 0.50 | 0.0, 0.25, 0.50 | 0.3 |
rf | 0.25, 0.50 | 0.0, 0.25, 0.50 | 0.3 |
a1 | \(\sqrt{0.10}\), \(\sqrt{0.25}\) | \(\sqrt{0.10}\), \(\sqrt{0.25}\) | \(\sqrt{0.5}\) |
a2 | \(\sqrt{0.10}\), \(\sqrt{0.25}\) | \(\sqrt{0.10}\), \(\sqrt{0.25}\) | \(\sqrt{0.3}\) |
c1 | \(\sqrt{0.10}\), \(\sqrt{0.25}\) | 0 | 0 |
c2 | \(\sqrt{0.10}\), \(\sqrt{0.25}\) | 0 | 0 |
Total cells | 212 = 4096 | 37*22 = 8748 | 44 = 256 |