I want to determine if a data point belongs to a population. So discriminant analysis will determine how likely it is between multiple (2+) populations. But if someone asks if their sample is part of the population, I would like to test based on the parameters and let them know how likely it is that the sample came from the population. Any ideas?
x <- rnorm(1000,4,2)
y <- rnorm(1000,17,6)
z <- rbeta(1000,9,2)
orig.pop <- data.frame(x,y,z)
new.point <- c(5,18.5,.6)