Association analysis of complex diseases using triads, parent-child dyads and singleton monads

Table 5 Conditional probabilities of parental mating type and triad genotypes given the sampling scheme of using the affected child as a proband

Parental	Affected child	P(MT, C \| D)	P(MT \| D)	# Obs
mating type	genotype C
1. AA × AA	AA	p⁴ψ₂/R	p⁴ψ₂/R	n ₁
2. AA × Aa	AA	4p³q ψ₂/(2R)	$4 p^{3} q \frac{ψ_{1} + ψ_{2}}{2 R}$	n ₂
	Aa	4p³q ψ₁/(2R)	$4 p^{3} q \frac{ψ_{1} + ψ_{2}}{2 R}$	n ₃
3. AA × aa	Aa	2p²q²ψ₁/R	2p²q²ψ₁/R	n ₄
4. Aa × Aa	AA	4p²q²ψ₂/(4R)	$4 p^{2} q^{2} \frac{ψ_{2} + 2 ψ_{1} + 1}{4 R}$	n ₅
	Aa	4p²q²(2ψ₁)/(4R)		n ₆
	aa	4p²q²/(4R)		n ₇
5. Aa × aa	Aa	4p q³ψ₁/(2R)	$4 p q^{3} \frac{ψ_{1} + 1}{2 R}$	n ₈
	aa	4p q³/(2R)		n ₉
6. aa × aa	aa	q⁴/R	q⁴/R	n ₁₀
Total		1	1	n