Hardy-Weinberg equlibrium test for a multiallelic marker using JAGS

Usage

hwe.jags(
  k,
  n,
  delta = rep(1/k, k),
  lambda = 0,
  lambdamu = -1,
  lambdasd = 1,
  parms = c("p", "f", "q", "theta", "lambda"),
  ...
)

Arguments

k: number of alleles.
n: a vector of k(k+1)/2 genotype counts.
delta: initial parameter values.
lambda: initial parameter values.
lambdamu: initial parameter values.
lambdasd: initial parameter values.
parms: monitored parmeters.
...: parameters passed to jags, e.g., n.chains, n.burnin, n.iter.

Value

The returned value is a fitted model from jags().

Details

Hardy-Weinberg equilibrium test.

This function performs Bayesian Hardy-Weinberg equilibrium test, which mirrors hwe.hardy, another implementation for highly polymorphic markers when asymptotic results do not hold.

References

Wakefield J (2010). “Bayesian methods for examining Hardy-Weinberg equilibrium.” Biometrics, 66(1), 257-65. doi:10.1111/j.1541-0420.2009.01267.x .

Author

Jing Hua Zhao, Jon Wakefield

Examples

if (FALSE) { # \dontrun{
ex1 <- hwe.jags(4,c(5,6,1,7,11,2,8,19,26,15))
print(ex1)
ex2 <- hwe.jags(2,c(49,45,6))
print(ex2)
ex3 <- hwe.jags(4,c(0,3,1,5,18,1,3,7,5,2),lambda=0.5,lambdamu=-2.95,lambdasd=1.07)
print(ex3)
ex4 <- hwe.jags(9,c(1236,120,3,18,0,0,982,55,7,249,32,1,0,12,0,2582,132,20,1162,29,
                    1312,6,0,0,4,0,4,0,2,0,0,0,0,0,0,0,115,5,2,53,1,149,0,0,4),
                delta=c(1,1,1,1,1,1,1,1,1),lambdamu=-4.65,lambdasd=0.21)
print(ex4)
ex5 <- hwe.jags(8,n=c(
         3,
         4, 2,
         2, 2, 2,
         3, 3, 2, 1,
         0, 1, 0, 0, 0,
         0, 0, 0, 0, 0, 1,
         0, 0, 1, 0, 0, 0, 0,
         0, 0, 0, 2, 1, 0, 0, 0))
print(ex5)

# Data and code accordining to the following URL,
# http://darwin.eeb.uconn.edu/eeb348-notes/testing-hardy-weinberg.pdf
hwe.jags.ABO <- function(n,...)
{
  hwe <- function() {
     # likelihood
     pi[1] <- p.a*p.a + 2*p.a*p.o
     pi[2] <- 2*p.a*p.b
     pi[3] <- p.b*p.b + 2*p.b*p.o
     pi[4] <- p.o*p.o
     n[1:4] ~ dmulti(pi[],N)
     # priors
     a1 ~ dexp(1)
     b1 ~ dexp(1)
     o1 ~ dexp(1)
     p.a <- a1/(a1 + b1 + o1)
     p.b <- b1/(a1 + b1 + o1)
     p.o <- o1/(a1 + b1 + o1)
  }
  hwd <- function() {
     # likelihood
     pi[1] <- p.a*p.a + f*p.a*(1-p.a) + 2*p.a*p.o*(1-f)
     pi[2] <- 2*p.a*p.b*(1-f)
     pi[3] <- p.b*p.b + f*p.b*(1-p.b) + 2*p.b*p.o*(1-f)
     pi[4] <- p.o*p.o + f*p.o*(1-p.o)
     n[1:4] ~ dmulti(pi[],N)
     # priors
     a1 ~ dexp(1)
     b1 ~ dexp(1)
     o1 ~ dexp(1)
     p.a <- a1/(a1 + b1 + o1)
     p.b <- b1/(a1 + b1 + o1)
     p.o <- o1/(a1 + b1 + o1)
     f ~ dunif(0,1)
  }
  N <- sum(n)
  ABO.hwe <- R2jags::jags(list(n=n,N=N),,c("pi","p.a","p.b","p.o"),hwe,...)
  ABO.hwd <- R2jags::jags(list(n=n,N=N),,c("pi","p.a","p.b","p.o","f"),hwd,...)
  invisible(list(hwe=ABO.hwe,hwd=ABO.hwd))
}
hwe.jags.ABO.results <- hwe.jags.ABO(n=c(862, 131, 365, 702))
hwe.jags.ABO.results
} # }