The FISHERINV function in Excel is a powerful tool used to calculate the inverse of the Fisher transformation. This transformation is often utilized in statistics, particularly in the context of correlation coefficients, to stabilize variance and normalize data. By applying FISHERINV, users can effectively reverse the Fisher transformation, facilitating easier data analysis and manipulation.

Syntax

FISHERINV(x)

• x: The value for which you want to compute the inverse Fisher transformation.

Example #1

=FISHERINV(0.3004)

Using this function with the input 0.3004 would yield a result of approximately 0.3097. This demonstrates how FISHERINV can convert a transformed value back to its original scale.

Example #2

=FISHERINV(1.732)

In this instance, the function call translates a transformed coefficient of 1.732 back to the original value, resulting in about 0.9379. This is particularly useful for statistical analysis tasks involving transformed data.

Example #3

=FISHERINV(-0.5)

Here, the input of -0.5 would yield approximately -0.5474, showcasing FISHERINV’s ability to handle negative values effectively, making it versatile for different datasets.

Error handling

• NUM! – Occurs when the input value is outside the range of the Fisher transformation, which is between negative infinity and positive infinity.
• VALUE! – Indicates that the input provided is not a numeric value, prompting the need for a valid number.

Conclusion

In summary, the FISHERINV function is an essential tool for reversing the Fisher transformation, allowing for seamless data analysis in statistical contexts. Its straightforward syntax and powerful functionality enable analysts to transform data back to its original format, promoting more accurate interpretation of results in various fields.