Table 1 Means and variances of the trait values across different genotypes under XCI and XCI-E.

From: Robust association tests for quantitative traits on the X chromosome

Sex

Genotype

XCI

XCI-E

  

gi

E(yi)

Var(yi)

gi

E(yi)

Var(yi)

Female

aa

0

μf0 = βc + βz

\(\sigma _{f0}^2 = \sigma ^2\)

0

μf0 = βc + βz

\(\sigma _{f0}^2 = \sigma ^2\)

 

Aa

γ

μf1 = βc + γβg + βz

\(\sigma _{f1}^2 = \sigma ^2 + \theta + \frac{\gamma }{2}\left( {1 - \frac{\gamma }{2}} \right)b^2\)

1

μf1 = βc + βg + βz

\(\sigma _{f1}^2 = \sigma ^2 + \theta\)

 

AA

2

μf2 = βc + 2βg + βz

\(\sigma _{f2}^2 = \sigma ^2 + \tau\)

2

μf2 = βc + 2βg + βz

\(\sigma _{f2}^2 = \sigma ^2 + \tau\)

Male

a

0

μm0 = βc

\(\sigma _{m0}^2 = \sigma ^2\)

0

μm0 = βc

\(\sigma _{m0}^2 = \sigma ^2\)

 

A

2

μm1 = βc + 2βg

\(\sigma _{m1}^2 = \sigma ^2 + \tau\)

1

μm1 = βc + βg

\(\sigma _{m1}^2 = \sigma ^2 + \tau\)