Significance of the Difference Between an Observed Correlation Coefficient and a Hypothetical Value of rho

Using the Fisher r-to-z transformation, this page will calculate a value of z that can be applied to assess the significance of the difference between
r, the correlation observed within a sample of size n
and
rho, the correlation hypothesized to exist within the population of bivariate values from which the sample is randomly drawn.

If r is greater than rho, the resulting value of z will have a positive sign; if r is smaller than rho, the sign of z will be negative.

To perform the calculation, enter the relevant values into the designated cells, then click the 'Calculate' button.


Observed
for Sample
Hypothetical
for Population


r =
 n =
rho =
z =
  P   one-tailed
two-tailed

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