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. Author manuscript; available in PMC: 2015 Nov 30.

Published in final edited form as: Ann Hum Genet. 2005 Jul;69(0 4):429–442. doi: 10.1046/j.1529-8817.2005.00164.x

Table 1.

Conditional probability $m_{u v}^{(s, a)}$ of mating type given a affected and s − a unaffected children

Mating
type

population
frequency

m_{u v}^{(s, a)}

(2,2)

g₂₂

f_{2}^{a} {(1 - f_{2})}^{s - a} g_{22} / K_{s, a}

(2,1)

g₂₁

{(\frac{f_{2} + f_{1}}{2})}^{a} {(1 - \frac{f_{2} + f_{1}}{2})}^{s - a} g_{21} / K_{s, a}

(2,0)

g₂₀

f_{1}^{a} {(1 - f_{1})}^{s - a} g_{20} / K_{s, a}

(1,2)

g₁₂

{(\frac{f_{2} + f_{1}}{2})}^{a} {(1 - \frac{f_{2} + f_{1}}{2})}^{s - a} g_{12} / K_{s, a}

(1,1)

g₁₁

{(\frac{f_{2} + 2 f_{1} + f_{0}}{4})}^{a} {(1 - \frac{f_{2} 2 f_{1} + f_{0}}{4})}^{s - a} g_{11} / K_{s, a}

(1,0)

g₁₀

{(\frac{f_{1} + f_{0}}{2})}^{a} {(1 - \frac{f_{1} + f_{0}}{2})}^{s - a} g_{10} / K_{s, a}

(0,2)

g₀₂

f_{1}^{a} {(1 - f_{1})}^{s - a} g_{02} / K_{s, a}

(0,1)

g₀₁

{(\frac{f_{1} + f_{0}}{2})}^{a} {(1 - \frac{f_{1} + f_{0}}{2})}^{s - a} g_{01} / K_{s, a}

(0,0)

g₀₀

f_{0}^{a} {(1 - f_{0})}^{s - a} g_{00} / K_{s, a}

^*

K_s,a is the sum of all numerators in the third column.