Table 9 Notations and definitions of (effective or non-effective) allele frequencies in cases and controls.

From: Reconstructing SNP allele and genotype frequencies from GWAS summary statistics

\(p_{i \ell }^{{\texttt {cse}}} = \frac{a_{i\ell }^{\text {cse}}}{a_{i\ell }^{\text {cse}}+u_{i\ell }^{\text {cse}}}\)

Frequency of the effective allele \(A_1\) in cases

\(p_{i \ell }^{{\texttt {cnt}}} = \frac{a_{i\ell }^{\text {cnt}}}{a_{i\ell }^{\text {cnt}}+u_{i\ell }^{\text {cnt}}}\)

Frequency of the effective allele \(A_1\) in controls

\(q_{i \ell }^{{\texttt {cse}}} = \frac{u_{i\ell }^{\text {cse}}}{a_{i\ell }^{\text {cse}}+u_{i\ell }^{\text {cse}}}\)

Frequency of the non-effective allele \(A_2\) in cases

\(q_{i \ell }^{{\texttt {cnt}}} = \frac{u_{i\ell }^{\text {cnt}}}{a_{i\ell }^{\text {cnt}}+u_{i\ell }^{\text {cnt}}}\)

Frequency of the non-effective allele \(A_2\) in controls

  1. The subscripts i and \(\ell \) indicate SNP number and study number, respectively.