lkhdk <- function(m,data_k,params_k,N) {
# Input:
# - m is the value of m
# - data_k is the data consisting of the phenotype, SNV_k and confounders
# - params_k is the output of MCEM()
# - N is the number of Monte Carlo replicates
# Output: Monte Carlo estimate of the profile likelihood
betas <- log(rf(N,m,m))
lvec <- rep(NA,N)
for(j in 1:N) {
s <- params_k[1]+data_k$X*betas[j]+as.matrix(data_k[,-c(1,2)])%*%(params_k[-1])
lvec[j] <- prod(exp(data_k$Phenotype*s)/(1+exp(s)))
}
return(log(mean(lvec)))
}
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