VGAM (version 1.1-14)

A1A2A3: The A1A2A3 Blood Group System

Description

Estimates the three independent parameters of the the A1A2A3 blood group system.

Usage

A1A2A3(link = "logitlink", inbreeding = FALSE, ip1 = NULL, ip2 = NULL, iF = NULL)

Value

An object of class "vglmff" (see vglmff-class). The object is used by modelling functions such as vglm

and vgam.

Details

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.

References

Lange, K. (2002). Mathematical and Statistical Methods for Genetic Analysis, 2nd ed. New York: Springer-Verlag.

See Also

AA.Aa.aa, AB.Ab.aB.ab, ABO, MNSs.

Examples

if (FALSE) {
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)))
}