rwyxz: Spurious correlation

In geostats: An Introduction to Statistics for Geoscientists

Spurious correlation

Description

Calculate the ‘null correlation’ of ratios, using the the spurious correlation formula of Pearson (1897).

Usage

rwyxz(
  mw,
  mx,
  my,
  mz,
  sw,
  sx,
  sy,
  sz,
  rwx = 0,
  rwy = 0,
  rwz = 0,
  rxy = 0,
  rxz = 0,
  ryz = 0
)

ryxy(mx, my, sx, sy, rxy = 0)

rxzyz(mx, my, mz, sx, sy, sz, rxy = 0, rxz = 0, ryz = 0)

Arguments

mw	the mean of variable w
mx	the mean of variable x
my	the mean of variable y
mz	the mean of variable z
sw	the standard deviation of variable w
sx	the standard deviation of variable x
sy	the standard deviation of variable y
sz	the standard deviation of variable z
rwx	the correlation coefficient between w and x
rwy	the correlation coefficient between w and y
rwz	the correlation coefficient between w and z
rxy	the correlation coefficient between x and y
rxz	the correlation coefficient between x and z
ryz	the correlation coefficient between y and z

Value

the null correlation coefficient

References

Pearson, K. “Mathematical contributions to the theory of evolution. – on a form of spurious correlation which may arise when indices are used in the measurement of organs.” Proceedings of the Royal Society of London 60.359-367 (1897): 489-498.

Examples

rxzyz(mx=100,my=100,mz=100,sx=1,sy=1,sz=10)

geostats documentation built on Jan. 7, 2023, 5:32 p.m.