The AB-Ab-aB-ab Blood Group System
Estimates the parameter of the AB-Ab-aB-ab blood group system.
AB.Ab.aB.ab(link = "logitlink", init.p = NULL)
link |
Link function applied to |
init.p |
Optional initial value for |
This one parameter model involves a probability called p
.
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 4-column matrix of counts, where the columns
are AB, Ab, aB and ab
(in order).
Alternatively, the input can be a 4-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.
ymat <- cbind(AB=1997, Ab=906, aB=904, ab=32) # Data from Fisher (1925) fit <- vglm(ymat ~ 1, AB.Ab.aB.ab(link = "identitylink"), trace = TRUE) fit <- vglm(ymat ~ 1, AB.Ab.aB.ab, trace = TRUE) rbind(ymat, sum(ymat)*fitted(fit)) Coef(fit) # Estimated p p <- sqrt(4*(fitted(fit)[, 4])) p*p summary(fit)
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