Table 1 Examples of regressions and expected regression coefficients for different data types
From: Mendelian imputation of parental genotypes improves estimates of direct genetic effects
Observed genotypes | Yi1 regressed on | \({\it{E}}\left( {{\it{\hat \uptheta }}} \right)\) |
|---|---|---|
Proband (Fig. 1h) | gi1 | δ + (αp + αm + ηs)/2 |
Sibling pairs (Fig. 1e) | gi1 | δ |
gi2 | ηs | |
\(\hat g_{{{{\mathrm{par(i)}}}}}\) | (αp + αm − ηs)/2 | |
Father–child pairs (Fig. 1c) | gi1 | δ |
gp(i) | αp | |
\(\hat g_{{{{\mathrm{m(i)}}}}}\) | αm | |
Mother–child pairs (Fig. 1d) | gi1 | δ |
\(\hat g_{p\left( i \right)}\) | αp | |
gm(i) | αm | |
Trios (Fig. 1b) | gi1 | δ |
gp(i) | αp | |
gm(i) | αm | |
Quads (Fig. 1a) | gi1 | δ |
gi2 | ηs | |
gp(i) | αp− ηs/2 | |
gm(i) | αm − ηs/2 |
