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Table 1 Expected genotypic frequencies under HWE

From: Estimating linkage disequilibrium from genotypes under Hardy-Weinberg equilibrium

 

\( BB \)

\( Bb \)

\( bb \)

\( AA \)

\( {f}_1={p}_{AB}^2 \)

\( {f}_2=2{p}_{AB}{p}_{Ab} \)

\( {f}_3={p}_{Ab}^2 \)

\( Aa \)

\( {f}_4=2{p}_{AB}{p}_{aB} \)

\( {f}_5=2\left({p}_{AB}{p}_{ab}+{p}_{Ab}{p}_{aB}\right) \)

\( {f}_6=2{p}_{Ab}{p}_{ab} \)

\( aa \)

\( {f}_7={p}_{aB}^2 \)

\( {f}_8=2{p}_{aB}{p}_{ab} \)

\( {f}_9={p}_{ab}^2 \)

  1. The expected frequency of genotypes given the haplotype frequencies under HWE [2]. All the expected frequencies \( {f}_1,{f}_2,\dots, {f}_9 \) add up to one