ncp.3pl <- function(delta.a, delta.b, delta.c, cov.Ref, cov.Foc.A){
ncp <- matrix(-999, ncol=8)
temp2 <- solve(cov.Foc.A + cov.Ref)
delta <- c(delta.a,delta.b,delta.c)
temp1 <- t(delta)
ncp[1] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(-delta.a,delta.b,delta.c)
temp1 <- t(delta)
ncp[2] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(delta.a,-delta.b,delta.c)
temp1 <- t(delta)
ncp[3] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(delta.a,delta.b,-delta.c)
temp1 <- t(delta)
ncp[4] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(-delta.a,-delta.b,delta.c)
temp1 <- t(delta)
ncp[5] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(-delta.a,delta.b,-delta.c)
temp1 <- t(delta)
ncp[6] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(delta.a,-delta.b,-delta.c)
temp1 <- t(delta)
ncp[7] <- (round(temp1 %*% temp2 %*% delta,2))
delta <- c(-delta.a,-delta.b,-delta.c)
temp1 <- t(delta)
ncp[8] <- (round(temp1 %*% temp2 %*% delta,2))
max.ncp <- max(ncp)
max.ncp <- ifelse(max.ncp < 0, 0, max.ncp)
return(max.ncp)
}
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