# How to use the CHIINV function

**What is the CHIINV function?**

The CHIINV function calculates the inverse probability of the chi-squared distribution.

**What is a chi-squared distribution?**

The chi-squared distribution is a theoretical probability distribution modeling the sum of squared standard normal random variables used in inferential statistics for estimation, confidence intervals, and hypothesis testing.

**What is the probability of the chi-squared distribution?**

The probability of the chi-squared distribution determines the likelihood that the sum of squared standard normal variables will take on a value less than or equal to a given number, depending on its degrees of freedom parameter.

**What is a hypothesize?**

In statistics, a hypothesis is an assumption about some aspect of a population parameter or probability model that can be tested using observations and data to determine if there is sufficient evidence in the sample to support the assumed hypothesis.

**Wh****at isÂ ****inferential statistics for estimation?**

Inferential statistics for estimation involve using a random sample to estimate characteristics and parameters about a larger population using statistical techniques like confidence intervals and point estimation to quantify uncertainty about the estimates.

**Wh****at is confidence intervals****?**

A confidence interval provides a range of plausible values for an unknown population parameter centered around a sample estimate, describing the uncertainty around the estimate at a specified level of confidence.

**What is the left-tailed probability of the chi-squared distribution?**

The left-tailed probability of the chi-squared distribution gives the chance that the sum of squared standard normals is less than or equal to a specified value x, focusing only on the lower portion of outcomes under the density curve.

**What is the inverse of a left-tailed probability of the chi-squared distribution?**

The inverse of a left-tailed chi-squared probability determines the value x that corresponds to a given cumulative probability for the lower tail, calculating the sum of squares threshold that captures the specified proportion of possible outcomes.

**What is the difference between the CHIDIST and CHINV functions?**

The CHIDIST and CHINVÂ functions are related.

CHIDIST(** x**,

*deg_freedom) =*

then

**probability**CHINV(

*,Â*

**probability***deg_freedom) =*

**x**## CHIINV Function Syntax

CHIINV(*probability,deg_freedom*)

## CHIINV Function Arguments

probability |
Required. A numerical value representing the probability with the chi-squared distribution. |

deg_freedom |
Required. A numerical value representing the degrees of freedom. |

**What are the degrees of freedom?**

The degrees of freedom in a chi-squared distribution refers to the number of standard normal random variables being squared and summed, which affects the shape of the distribution and occurs in statistical tests as the sample size minus the number of estimated parameters.

## CHIINV Function Example

Formula in cell C6:

## CHIINV Function not working

The CHIINV function returns

- #VALUE! error value if
*probabilityÂ*orÂÂ argument is non-numeric.*deg_freedom* - #NUM! error value if:
*probabilityÂ*< 0 (zero)*probabilityÂ*> 1 (zero)Â 1*deg_freedomÂ <*

* deg_freedom *argumentÂ is converted into integers if necessary.

### Functions in 'Compatibility' category

The CHIINV function function is one of 21 functions in the 'Compatibility' category.

## How to comment

How to add a formula to your comment<code>Insert your formula here.</code>

Convert less than and larger than signsUse html character entities instead of less than and larger than signs.

< becomes < and > becomes >

How to add VBA code to your comment[vb 1="vbnet" language=","]

Put your VBA code here.

[/vb]

How to add a picture to your comment:Upload picture to postimage.org or imgur

Paste image link to your comment.

Contact OscarYou can contact me through this contact form