# CHIINV

The CHIINV function is used to calculate the inverse of the one-tailed probability of the chi-squared distribution. This function is commonly used in statistical analysis to determine critical values associated with the chi-squared distribution.

## Syntax

=CHIINV(`probability`

, `degrees_freedom`

)

`probability` | The probability value for which you want to find the critical value. |

`degrees_freedom` | The number of degrees of freedom for the chi-squared distribution. |

`Significance` (Optional) | The significance level used to compute the confidence level. Defaults to 0.05 if omitted. |

## About CHIINV

When delving into statistical analysis and seeking to determine critical values associated with the chi-squared distribution, the CHIINV function in Excel proves to be an invaluable tool. It calculates the inverse of the one-tailed probability of the chi-squared distribution, offering crucial insights into the distribution's behavior and aiding in decision-making in various statistical scenarios. Whether it's hypothesis testing, goodness-of-fit tests, or other statistical analyses, CHIINV comes to the fore as a reliable companion for statistical researchers and analysts.

## Examples

Suppose you have a chi-squared distribution with 6 degrees of freedom and you want to find the critical value associated with the probability of 0.05 (significance level of 5%). The CHIINV formula would be:

=CHIINV(0.05, 6)

This will return the critical value for the specified probability and degrees of freedom, which can be used for hypothesis testing, confidence interval construction, or other statistical analysis.

## Questions

**What does the degrees of freedom parameter represent in the CHIINV function?**

The degrees of freedom parameter, denoted as `degrees_freedom`

, indicates the number of degrees of freedom for the chi-squared distribution. It is a critical factor that influences the shape and characteristics of the chi-squared distribution, impacting the critical values and probabilities associated with the distribution.

**How should I interpret the output of the CHIINV function in practical statistical analysis?**

The output of the CHIINV function represents the critical value associated with the specified probability and degrees of freedom. In practical statistical analysis, this critical value is utilized for hypothesis testing, construction of confidence intervals, or determining the level of significance for a statistical test.

## Related functions

CHIDIST

CHISQ.DIST

CHISQ.DIST.RT

CHISQ.INV

CHISQ.INV.RT