Generate distribution given percentile ranks

Question

I\'d like to generate a distribution in R given the following score and percentile ranks.

x <- 1:10
PercRank <- c(1, 7, 12, 23, 41, 62, 73, 80, 92, 99)         


        

Answer 1

i think you want the ecdf function, which is mentioned as the inverse of the quantile function on the ?quantile help page..

# construct your vector containing the data
PercRank <- c(1, 7, 12, 23, 41, 62, 73, 80, 92, 99)

# construct an empirical cumulative distribution function
# which is really just the `inverse` of `quantile
Fn <- ( ecdf( PercRank ) )
# note that the `ecdf` function returns a function itself.

# calculate what percent of `PercRank` is below these integers..
Fn( 0 )
Fn( 1 )
Fn( 2 )
Fn( 3 )
Fn( 6 )
Fn( 7 )
Fn( 8 )


# re-construct your `x` vector using PercRank
Fn( PercRank ) * 10