I have two lots of data that have been independently, arbitrarily transformed from the same original data source using the same permutation algorithm. I would like to know what kind of statements I can make about the original data source or the transformation process by comparing these two data sets. All the data are non-negative integers.
To express this in R code:
# These true values and permutation function are unknown/unobservable set.seed(1904) true.xs <- round(rnorm(1000, mean=100, sd=15), 0) unknown.trans <- function(orig)orig + round(rnorm(length(orig), sd=3),0) # These observations have been made xs.1 <- unknown.trans(true.xs) xs.2 <- unknown.trans(true.xs)
I would like to know what I can say about
xs.2. I'm willing to make some fairly strong assumptions if that will help (i.e. that the transformation function is symetrical around zero, etc.).