# Documentation/Calc Functions/CHISQDIST

CHISQDIST

## Category:

Statistical Analysis

## Summary:

Returns the value of the probability density function or the cumulative distribution function for the chi-square distribution.

## Syntax:

CHISQDIST(Number; Degrees Of Freedom[; Cumulative])

## Returns:

Returns a real number which is the chi-square distribution value for the given arguments. The function returns either a probability density function or cumulative distribution function which has a non-negative range, i.e. [0, +∞).

## Arguments:

Number is a real number or a reference to the cell containing that number which is the chi-square value of the random sample used to determine the error probability.

Degrees Of Freedom is a positive integer or a reference to a cell containing that number which is the degrees of freedom of the experiment.

Cumulative can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.

• If Number is less than or equal to 0, then, for valid values of DegreesFreedom, the function returns 1.
• If DegreesFreedom is less than 1, the function returns an error value.
• If DegreesFreedom is a non-integer numeric value, then the function truncates it in an integer.
• If argument Cumulative is not passed then, the function calculates the cumulative distribution.

The formula for CHISQ.DIST is:

If Cumulative is FALSE, CHISQDIST returns 0 for x<=0 and the value

for x>0.

If Cumulative is TRUE, CHISQDIST returns 0 for x<=0 and the value

for x>0

Here x is the Number and n is the DegreesFreedom.

For more details on Chi distribution, visit Wikipedia.

## Examples:

Formula Description Returns
=CHISQDIST(3; 2; 0) The probability density function with 2 degrees of freedom, at Number = 3. 0.1115650801
=CHISQDIST(3; 2; 1) The cumulative chi-square distribution with 2 degrees of freedom, at the value Number = 3. 0.7768698399
=CHISQDIST(3; 2) If not Cumulative declared then the function calculates cumulative chi-square distribution. Here it calculates with 2 degrees of freedom, at the value Number = 3. 0.7768698399
=CHISQDIST(-3; 2; 0) Number is less than 0 hence the function returns 0 for valid values of DegreesFreedom. 0

CHIDIST

CHIINV

CHISQ.DIST

CHISQ.DIST.RT

CHISQ.INV

CHISQ.INV.RT

CHISQ.TEST

CHISQINV

CHITEST

## ODF standard:

Section 6.18.12, part 2

CHISQDIST