Hello,

Why not write a function COR? Not one as general purpose as stats::cor but a simple one, to compute the sample Pearson correlation only.


library(Rmpfr)

COR <- function(x, y){
  precBits <- getPrec(x)[1]
  n <- mpfr(length(x), precBits = precBits)
  x.bar <- mean(x)
  y.bar <- mean(y)
  numer <- sum(x*y) - n*x.bar*y.bar
  denom <- sqrt(sum(x*x) - n*x.bar*x.bar) * sqrt(sum(y*y) - n*y.bar*y.bar)
  numer/denom
}

set.seed(2020)
KA <- mpfr(10^-4.6, 128)
x <- rnorm(100)*KA
y <- rnorm(100)*x

cor(as.numeric(x), as.numeric(y)) # -0.1874986
#[1] -0.1874986

COR(x, y)
#1 'mpfr' number of precision  128   bits
#[1] -0.1874985950531874160800643775644747505073


Hope this helps,

Rui Barradas

Às 10:42 de 12/07/20, tr...@gvdnet.dk escreveu:
Dear friends - I'm calculating buffer capacities by different methods and
need very high precision and package Rmpfr is working beautifully. However,
I have not been able to find out how to keep precision when finding
correlations.

library(Rmpfr)

KA <- mpfr(10^-4.6, 128)

x <- rnorm(100)*KA

y <- rnorm(100)*x

cor(x,y) # "x" must be numeric

cor(as.numeric(x),as.numeric(y))# 0.2918954

In my concrete application I get cor = 1 for
cor(as.numeric(dff$BB),as.numeric(BBVS)) even though I have

str(summary((dff$BB)-(BBVS)))
Class 'summaryMpfr' [package "Rmpfr"] of length 6 and precision 128
  4.61351010833e-8 7.33418976521e-7 1.31009046563e-5 3.76407022709e-5
5.72386764888e-5 ...

I am on windows 10

R version 3.6.1
Best wishes
Troels Ring,
Aalborg, Denmark


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