VGAM (version 0.8-7)

G1G2G3: The G1G2G3 Blood Group System

Description

Estimates the three independent parameters of the the G1G2G3 blood group system.

Usage

G1G2G3(link = "logit", earg=list(), ip1 = NULL, ip2 = NULL, iF = NULL)

Arguments

link

Link function applied to p1, p2 and f. See Links for more choices.

earg

List. Extra argument for the link. See earg in Links for general information.

ip1, ip2, iF

Optional initial value for p1, p2 and f.

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.

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, AB.Ab.aB.ab2, ABO, MNSs.

Examples

y = cbind(108, 196, 429, 143, 513, 559)
fit = vglm(y ~ 1, G1G2G3(link=probit), trace=TRUE, crit="coef")
fit = vglm(y ~ 1, G1G2G3(link=logit, ip1=.3, ip2=.3, iF=.02),
           trace=TRUE, crit="coef")
fit = vglm(y ~ 1, G1G2G3(link="identity"), trace=TRUE)
Coef(fit) # Estimated p1, p2 and f
rbind(y, sum(y)*fitted(fit))
sqrt(diag(vcov(fit)))