The A1A2A3 Blood Group System
Estimates the three independent parameters of the the A1A2A3 blood group system.
A1A2A3(link = "logitlink", inbreeding = FALSE, ip1 = NULL, ip2 = NULL, iF = NULL)
link |
Link function applied to |
inbreeding |
Logical. Is there inbreeding? |
ip1, ip2, iF |
Optional initial value for |
The parameters p1 and p2 are probabilities, so that
p3=1-p1-p2 is the third probability.
The parameter f is the third independent parameter if
inbreeding = TRUE.
If inbreeding = FALSE then f = 0 and Hardy-Weinberg
Equilibrium (HWE) is assumed.
An object of class "vglmff" (see vglmff-class).
The object is used by modelling functions such as vglm
and vgam.
The input can be a 6-column matrix of counts,
with columns corresponding to
A1A1,
A1A2,
A1A3,
A2A2,
A2A3,
A3A3 (in order).
Alternatively, the input can be a 6-column matrix of
proportions (so each row adds to 1) and the weights
argument is used to specify the total number of counts for each row.
T. W. Yee
Lange, K. (2002). Mathematical and Statistical Methods for Genetic Analysis, 2nd ed. New York: Springer-Verlag.
AA.Aa.aa,
AB.Ab.aB.ab,
ABO,
MNSs.
ymat <- cbind(108, 196, 429, 143, 513, 559)
fit <- vglm(ymat ~ 1, A1A2A3(link = probitlink), trace = TRUE, crit = "coef")
fit <- vglm(ymat ~ 1, A1A2A3(link = logitlink, ip1 = 0.3, ip2 = 0.3, iF = 0.02),
trace = TRUE, crit = "coef")
Coef(fit) # Estimated p1 and p2
rbind(ymat, sum(ymat) * fitted(fit))
sqrt(diag(vcov(fit)))Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.