Table 1.
Sim | n | k | y | c | ϵ |
---|---|---|---|---|---|
A | 100 | 1 | β 1x1 + u + ϵ | c 1 = 0.3 | 𝒩 (0, σ2) |
B | 500 | 1 | β 1x1 + u + ϵ | c 1 = 0.3 | 𝒩 (0, σ2) |
C | 1,000 | 1 | β 1x1 + u + ϵ | c 1 = 0.3 | 𝒩 (0, σ2) |
D | 2,000 | 1 | β 1x1 + u + ϵ | c 1 = 0.3 | 𝒩 (0, σ2) |
E | 1,000 | 2 | β 1x1 + β 2x2 + β 3x1 ◦ x2 + u + ϵ | c1 = c2 = 0.05, c 3 = 0.2 | 𝒩 (0, σ2) |
F | 1,000 | 2 | β 1x1 + β 2x2 + β 3x1 ◦ x2 + u + ϵ | c 1 = c2 = 0.01, c3 = 0.28 | 𝒩 (0, σ2) |
G | 1,000 | 1 | β 1x1 + u + ϵ | c 1 = 0.3 | Γ(0, σ2/4) |
H | 1,000 | 1 | β 1x1 + u + ϵ | c 1 = 0.3 | Γ(0, σ2) |
I | 1,000 | 5 | β ixi + u + ϵ | ci ∼ 𝒩 (6, 22)/100, i = 1, . . . , 5 | 𝒩 (0, σ2) |
J | 1,000 | 20 | β ixi + u + ϵ | ci ∼ 𝒩 (1.5, 0.52)/100, i = 1, . . . , 20 | 𝒩 (0, σ2) |
K | 1,000 | 50 | β ixi + u + ϵ | ci ∼ 𝒩 (0.6, 0.22)/100, i = 1, . . . , 50 | 𝒩 (0, σ2) |
L | 1,000 | 100 | β ixi + u + ϵ | ci ∼ 𝒩 (0.3, 0.12)/100, i = 1, . . . , 100 | 𝒩 (0, σ2) |
The first column Sim indicates the simulation setting, n is the number of samples, k the number of causal markers, y the formula of the phenotype, c the effect size of the causal markers, and ϵ the added noise. Here, x i denotes a single marker and x i ◦ x j is the Hadamard product of two markers.