Genotypes of sib-pair | Y j | Conditional probability Pr (Yj|πQTLj) | ||
---|---|---|---|---|
πQTLj = 0 | πQTLj = 1/2 | πQTLj = 1 | ||
AA-AA | ξj2 | p(AAf)p(AAm) + τ | 1/2 (p(AAf)p(Am) + p(Af)p(AAm)) + τ | p(Af) p(Am) + τ |
BB-BB | ξj2 | P(BBf)p(BBm) +τ | 1/2 (p(BBf)p(Bm) + p(Bf)p(BBm))+τ | p(Bf)p(Bm)+ τ |
AB-AB | ξj2 | p(AAf)p(BBm) + p(BBf)p(AAm) + 1/2p(ABf) p(ABm) -2τ | p(Bf)p(Am) + p(Af)p(Bm) - 1/4 [p(ABf)+ p(ABm)] - 2 τ | p(Af)p(Bm) + p(Bf)p(Am)-2τ |
AA-AB | (a-d +ξj)2 | 1/2 (p(ABf)p(AAm) + p(AAf)p(ABm)) | 1/4(p(Af)p(ABm) + p(ABf)p(Am)) | 0 |
AB-AA | (-a + d + ξj)2 | 1/2 (p(ABf)p(AAm) + p(AAf)p(ABm)) | 1/4(p(Af)p(ABm)+ p(ABf)p(Am)) | 0 |
AB-BB | (a + d +ξj)2 | 1/2 (p(ABf)p(BBm) + p(BBf)p(ABm)) | 1/4(p(Bf)p(ABm) + p(ABf)p(Bm)) | 0 |
BB-AB | (-a-d +ξj)2 | 1/2 (p(ABf)p(BBm) + p(BBf)p(ABm)) | 1/4(p(Bf)p(ABm) + p(ABf)p(Bm)) | 0 |
AA-BB | (2a +ξj)2 | 1/4 p(ABf) p(ABm) | 0 | 0 |
BB-AA | (-2a + ξj)2 | 1/4 p(ABf) p(ABm) | 0 | 0 |
Total | 1 | 1 | 1 |