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Excel FISHER Function

The FISHER function returns the Fisher transformation of a supplied value (x). The Fisher transformation is frequently used to test hypotheses on the correlation coefficient.

fisher function 1


Syntax

=FISHER(x)


Arguments

  • x (required): The value at which you want to calculate the Fisher transformation. Note: x must satisfy the equation: -1 < x < 1.

Return Value

The FISHER function returns a numeric value.


Function Notes

  • FISHER returns the #NUM! error if x ≤ -1 or x ≥ 1.
  • FISHER returns the #VALUE! error if x is not a numeric value.
  • The equation for the Fisher transformation is:
    fisher function equation

Example

To get the Fisher transformation of the supplied x values listed in the below table, please copy or enter the formula below in the top cell, press Enter to get the result, and then drag the fill handle (at the lower right corner of the result cell) down to apply the formula to the below cells.

=FISHER(B6)

fisher function 2

Also, you can type the actual x value in the formula as shown below.

=FISHER(0.1)


Related functions

Excel FISHERINV Function

The FISHERINV function returns the inverse of Fisher transformation of a supplied value (y). The transformation is frequently used to analyze correlations between ranges or arrays of data.


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