Changes

In this model, the scalar parameter <math>\gamma_i</math> is to measure the additive genetic effect of the <math>i^{th}</math> variant. As usual, the score statistic for testing <math>H_0:\gamma_i=0</math> is:

In this model, the scalar parameter <math>\gamma_i</math> is to measure the additive genetic effect of the <math>i^{th}</math> variant. As usual, the score statistic for testing <math>H_0:\gamma_i=0</math> is:

<math> U_i=(\mathbf{G_i}-\mathbf{\bar{G_i}} )^T \boldsymbol{\Omega}^{-1}(\mathbf{y}-\mathbf{X}\boldsymbol{\beta}) </math>

<math> U_i=(\mathbf{G_i}-\mathbf{\bar{G_i}} )^T \hat{\boldsymbol{\Omega}}^{-1}(\mathbf{y}-\mathbf{X}\boldsymbol{\beta}) </math>

We further derive the variance-covariance matrix of these statistics as

We further derive the variance-covariance matrix of these statistics as