# Google Sheets FISHERINV Function: Syntax, Examples & Tips

- URL: https://betteranalyst.com/google-sheets/fisherinv-function
- Author: Better Analyst

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The FISHERINV function returns the inverse of the Fisher transformation, converting a value from the correlation scale back to the original scale.

```
FISHERINV(value)
```

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## Parameters

**`value`**: The numeric value for which you want to calculate the inverse of the Fisher transformation. This value must be between -1 and 1 (exclusive).

## What is a FISHERINV?

The *FISHERINV* function in Google Sheets is a statistical tool used to calculate the inverse of the Fisher transformation. This transformation is commonly used in statistics to convert correlation coefficients into a normally distributed variable. The FISHERINV function is particularly useful in fields such as finance and research, where understanding the relationship between variables is crucial.

In simpler terms, FISHERINV allows you to take a transformed correlation value and convert it back to its original correlation coefficient, making it easier to interpret and analyze data.

## A Practical Example

Imagine you are analyzing the correlation between two financial assets and have calculated the Fisher transformation of their correlation coefficient:

### Fisher Transformation Table:

| Correlation Coefficient | Fisher Transformation |
| - | - |
| 0.5 | 0.549306 |
| 0.8 | 1.164251 |
| 0.2 | 0.202733 |

You want to convert these Fisher transformation values back to their original correlation coefficients for better interpretation.

## FISHERINV Formula

To achieve this, you would use the FISHERINV function as follows:

```
=FISHERINV(B2)
```

In this formula:

- `B2` is the cell containing the Fisher transformation value you want to convert back to a correlation coefficient.

## Result of the Formula

When you apply the FISHERINV formula to the Fisher Transformation Table, the output would look like this:

| Correlation Coefficient | Fisher Transformation | Original Correlation Coefficient |
| - | - | - |
| 0.5 | 0.549306 | 0.500000 |
| 0.8 | 1.164251 | 0.800000 |
| 0.2 | 0.202733 | 0.200000 |

In this case, the FISHERINV function would return the original correlation coefficients for each Fisher transformation value.

## Why Use FISHERINV?

FISHERINV is beneficial because it simplifies the process of interpreting transformed correlation values. It allows researchers and analysts to easily convert Fisher transformation results back to their original form, facilitating better understanding and communication of statistical findings. Additionally, it helps in validating the results of correlation analyses.

## Key Takeaways:

- **FISHERINV**: A statistical function that calculates the inverse of the Fisher transformation.
- **Interpretation**: Converts transformed correlation values back to their original correlation coefficients for easier analysis.
- **Common Use Cases**: Ideal for statistical analysis in finance, research, and any scenario where correlation relationships are examined.

FISHERINV is an essential function for anyone working with statistical data in Google Sheets, providing a powerful way to enhance data analysis and interpretation capabilities.

Happy analyzing!

## Example use case

You have a dataset of stock returns in Column A and want to assess the correlation between two assets. By using the FISHERINV formula, you can convert the Fisher transformation back to a correlation coefficient, aiding in investment analysis.

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