lik.multin {HWEintrinsic}

Utility Function

Description

This function provides the value of the likelihood function of the full (unrestricted) model, as described in Consonni et al. (2011).

Usage

lik.multin(y, p11, p21)

Arguments

y

an object of class "HWEdata".

p11

gentotype proportion for the alleles pair A_{1}A_{1}.

p21

gentotype proportion for the alleles pair A_{2}A_{1}.

Details

This function has been used to generate the likelihood contours that appear in Figure 4 of Consonni et al. (2011) (see the example below).

Value

This function returns the numerical value of the likelihood in correspondence of the argument values.

Note

This function provides the likelihood function value only for the two alleles case.

Author(s)

Sergio Venturini [e-mail]

References

Consonni, G., Moreno, E., and Venturini, S. (2011). "Testing Hardy-Weinberg equilibrium: an objective Bayesian analysis". Statistics in Medicine, 30, 62–74. https://onlinelibrary.wiley.com/doi/10.1002/sim.4084/abstract

See Also

hwe.ibf, hwe.ibf.mc, hwe.ibf.plot.

Examples

# The following code reproduces Figure 4 in Consonni et al. (2011) #
## Not run: 
# ATTENTION: it may take a long time to run! #

data(simdata)
n <- sum([e-mail], na.rm = TRUE)
f <- c(.1,.5,1)
t <- round(f*n)
p11 <- p21 <- seq(0,1,length.out=100)
ip <- array(NA,c(length(f),length(p11),length(p21)))
for (k in 1:length(f)) {
	ip[k,,] <- outer(X = p11, Y = p21, FUN = Vectorize(ip.tmp), t[k])
	print(paste(k," / ",length(f),sep=""), quote = FALSE)
}

r <- 2
R <- r*(r + 1)/2
l <- 4
tables <- matrix(NA, nrow = R, ncol = l)
tables[, 1] <- [e-mail]
tables[, 2] <- [e-mail]
tables[, 3] <- [e-mail]
tables[, 4] <- [e-mail]
lik <- array(NA, c(l, length(p11), length(p21)))
M <- 300000
par(mfrow = c(4, 4))
for (k in 1:l) {
	y <- new("HWEdata", data = tables[, k])
	lik[k,,] <- lik.multin(y, p11, p21)
	
	nlev <- 10
	for (q in 1:length(f)) {
		contour(p11, p21, ip[q,,], xlab = expression(p[11]),
				ylab = expression(p[21]), nlevels = nlev, col = gray(0),
				main = "", cex.axis = 1.75, cex.lab = 1.75, labcex = 1.4)
		lines(p11^2, 2*p11*(1 - p11), lty = "longdash", col = gray(0), lwd = 2)
		contour(p11, p21, lik[k,,], nlevels = nlev, add = TRUE,
				col = gray(.7), labcex = 1.2)
		abline(a = 1, b = -1, lty = 3, col = gray(.8))
	}
	hwe.ibf.plot(y = y, t.vec = seq(1,n,1), M = M)
}

## End(Not run)