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FISHER

The FISHER function returns the Fisher transformation of a specified value.

This function is used in statistics to transform correlations to make their distribution closer to normal.

It can be useful in tasks related to correlation and regression.

Syntax​

FISHER(value)

ArgumentDescriptionPermitted values
valueNumber for which the Fisher transformation needs to be calculatedAny real number in the range from −1 to 1 (excluding the boundaries)

Example of use​

Correlation coefficient conversion

=FISHER(0.75)

This formula calculates the Fisher transformation for a correlation coefficient of 0.75.

Result: approximately 0.973.

Using a cell reference

=FISHER(A2)

If cell A2 contains a correlation coefficient of 0.6, the function will return the Fisher transformation value (approximately 0.693).

Notes​

  • The Fisher transformation is calculated using the formula: 0.5 × ln((1 + x)/(1 − x)).
  • If the value argument is −1 or 1, the function will return the #NUM! error.
  • The result of the conversion can take any valid value from −∞ to +∞.