# CHISQ.INV.RT

The CHISQ.INV.RT function returns the inverse of the right-tailed probability of the chi-squared distribution. It is used in statistics to find critical values for the chi-squared distribution.

## Syntax

=CHISQ.INV.RT(`probability`

, `degrees_freedom`

)

`probability` | The probability of the chi-squared distribution. |

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

## About CHISQ.INV.RT

When dealing with statistical analysis and the chi-squared distribution, the CHISQ.INV.RT function in Excel proves its worth by providing the critical value for a given right-tailed probability. This critical value is essential in hypothesis testing, goodness-of-fit tests, and other statistical procedures involving the chi-squared distribution. By leveraging the CHISQ.INV.RT function, analysts can ascertain the upper threshold beyond which the observed data would be deemed statistically significant, based on a specified probability and degrees of freedom. This insight aids in drawing conclusions regarding the validity of statistical hypotheses and the fit of empirical data to theoretical distributions.

## Examples

Suppose you want to find the critical value for a chi-squared distribution with 5 degrees of freedom at a right-tailed probability of 0.05. The CHISQ.INV.RT formula would be: =CHISQ.INV.RT(0.05, 5)

In a statistical experiment with 8 degrees of freedom, you need to determine the critical value corresponding to a right-tailed probability of 0.01. You would apply the CHISQ.INV.RT function as follows: =CHISQ.INV.RT(0.01, 8)

## Questions

**What is the significance of the critical value derived from the CHISQ.INV.RT function?**

The critical value obtained from the CHISQ.INV.RT function serves as the upper boundary for a given right-tailed probability in the chi-squared distribution. It aids in evaluating the statistical significance of observed data and supports decision-making in hypothesis testing or goodness-of-fit assessments.

**Can the CHISQ.INV.RT function be used to find critical values for different levels of significance?**

Yes, the CHISQ.INV.RT function is flexible and can be utilized to obtain critical values for various levels of significance by inputting different right-tailed probabilities. This empowers analysts to tailor the critical value calculations to meet the specific requirements of their statistical analyses.

**Are there any restrictions on the degrees of freedom for the CHISQ.INV.RT function?**

The degrees of freedom used in the CHISQ.INV.RT function must be non-negative integer values, as they represent the number of independent variables in the chi-squared distribution. It’s important to ensure that the degrees of freedom align with the statistical context in which the function is applied.

## Related functions

CHISQ.DIST

CHISQ.DIST.RT

CHISQ.INV

CHISQ.INV.rt