# Changes

$T_{b\left(f_j\right)}=\boldsymbol{\phi}_{f_j}^\mathbf{T}\sum_mathbf{i=1}^nU_{\mathbf{U_imeta}}\bigg/\sqrt{\boldsymbol{\phi}_{f_j}^\mathbf{T}\left(\sum_mathbf{i=1}^nV_{\mathbf{V_imeta}}\right)\boldsymbol{\phi}_{f_j}}$is a vector of 0 and 1, indicating if a variant is included in the analysis using frequency threshold <mat>f_i [/itex]
where $j$ represents any allele frequency in a group of rare variants, $\boldsymbol{\phi}_{f_j}$ is a