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. 2009 Oct 23;170(11):1373–1381. doi: 10.1093/aje/kwp325

Table 3.

Expected Frequencies of Control-Mother Pairs Under the Multiplicative Model 1a

C = 0 C = 1 C = 2
M = 0 Inline graphic (1 − b)[μ00 + (1/2)μ01] Inline graphic (1 − b)[(1/2)μ01 + μ02] 0
M = 1 Inline graphic (1 − bS1)[(1/2)μ10 + (1/4)μ11] (1/2) Inline graphic [(1 − bS1R1M10 + ((1 − bS1(1 + R1M)/2)μ11 + (1 − bS112] Inline graphic (1 − b R1MS1)[(1/4)μ11 + (1/2)μ12]
M = 2 0 Inline graphic (1 − b R1MS2)[μ20 + (1/2)μ21] Inline graphic (1 − b R1MS2)[μ22 + (1/2)μ21]
a

M and C denote the number of copies of the allele carried by the mother and child, respectively. Inline graphic is a normalizing constant, and b is the frequency of preterm delivery in infant-mother pairs where neither carries a copy of the allele under study. The subscripted μ parameters are stratification parameters for the parental mating types, incorporating their possibly distinct baseline disease rates. S1 and S2 are the relative risks associated with maternal carriage of 1 or 2 copies of the allele, respectively, while R1M is the relative risk associated with fetal inheritance of a maternal copy of the allele.