FISHER Function

Excel 2007+

Summary

The Excel FISHER function applies the Fisher transformation to a correlation coefficient, converting it into a normally distributed value. This statistical tool is essential for hypothesis testing on correlation coefficients, stabilizing variance and enabling reliable analysis of relationships between variables.

Syntax

FISHER(x)

Parameters

Parameter Type Required Description
x Number Yes A numeric value for which you want the Fisher transformation. Must satisfy -1 < x < 1.

Using the FISHER Function

FISHER is a specialized statistical function used in advanced correlation analysis. It applies the Fisher z-transformation, which normalizes correlation coefficients and equalizes their variance, making them suitable for parametric statistical tests and confidence interval calculations.

Common FISHER Examples

Basic Fisher Transformation

=FISHER(0.75)

Calculates Fisher transformation for correlation coefficient 0.75, returning approximately 0.9729551.

Analyzing Sample Correlation

=FISHER(CORREL(A1:A10,B1:B10))

Applies Fisher transformation to sample correlation between two datasets for statistical testing.

Frequently Asked Questions

x must be a numeric value strictly between -1 and 1 (-1 < x < 1). Values outside this range return #NUM! error.

It converts correlation coefficients to a normal distribution with constant variance, enabling standard statistical tests.

Common Errors and Solutions

#VALUE!

Cause: x is non-numeric

Solution: Ensure x contains a valid number

#NUM!

Cause: x ≤ -1 or x ≥ 1

Solution: Use correlation coefficients only (always between -1 and 1)

Notes

  • FISHER uses the formula: 0.5 * LN((1+x)/(1-x))
  • The inverse transformation is FISHERINV
  • Commonly paired with CORREL function
  • Output values are typically positive for positive correlations

Compatibility

Available in: Excel 2007, Excel 2010, Excel 2013, Excel 2016, Excel 2019, Excel 2021, Microsoft 365

Not available in: Excel 2003 and earlier

Content last reviewed: December 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2007+