Table 2 Moments of genotypes’ distributions depending on genotype codification
Expectations | Genotype codification | |
|---|---|---|
x tim = a tim − 2p tm | x tim = (a tim − 2p tm )/σ tm | |
E[X im ] | 0 | 0 |
E[X 2 im ] | σ 2m | 1 |
E[X 4 im ] | σ 2m | 1/σ 2m |
E[X im X jm ] | 2a ij σ 2m | 2a ij |
E[X im X 3 jm ] | \( \frac{1}{2}\alpha_{ij}^{13} \sigma_{\text{m}}^{2} - \frac{1}{4}\gamma_{ij}^{13} \sigma_{\text{m}}^{4} \) | \( \frac{1}{2}\alpha_{ij}^{13} /\sigma_{\text{m}}^{2} - \frac{1}{4}\gamma_{ij}^{13} \) |
E[X 2 im X 2 jm ] | \( \frac{1}{2}\alpha_{ij}^{22} \sigma_{\text{m}}^{2} - \frac{1}{4}\gamma_{ij}^{22} \sigma_{\text{m}}^{4} \) | \( \frac{1}{2}\alpha_{ij}^{22} /\sigma_{\text{m}}^{2} - \frac{1}{4}\gamma_{ij}^{22} \) |