Documentation/Calc Functions/CHIDIST
TDF LibreOffice Document Liberation Project Community Blogs Weblate Nextcloud Redmine Ask LibreOffice Donate
Function name:
CHIDIST
Category:
Statistical Analysis
Summary:
Returns the right-tailed probability value from the indicated chi-square that a hypothesis is confirmed.
The function calculates the area under the chi-square probability density function curve to the right of the specified chi-square value.
CHIDIST compares the chi-square value to be given for a random sample that is calculated from the sum of (observed value-expected value)^2/expected value for all values with the theoretical chi-square distribution and determines from this the probability of error for the hypothesis to be tested.
Syntax:
CHIDIST(Number; DegreesFreedom)
Returns:
Return a real number which is a right-tailed probability of the chi-square distribution. It is a probability hence it ranges from 0 to 1,i.e. [0,1].
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.
DegreesFreedom is a positive integer or a reference to a cell containing that number which is the degrees of freedom of the experiment.
- 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 uses its floor value, i.e. it is truncated to an integer.
Additional details:
The probability determined by CHIDIST can also be determined by CHITEST.
The formula for Chi distribution is:
where x>0 and returns 1 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 |
---|---|---|
=CHIDIST(13.27;5) | If the Chi square value of the random sample is 13.27 and if the experiment has 5 degrees of freedom, then the hypothesis is assured with a probability of error of about 2%. | 0.020975769403022 |
=CHIDIST(-13.27;5) | The chi-square value of the random sample is negative so the function returns 1 by default for valid value of DegreesFreedom | 1 |
Related LibreOffice functions:
ODF standard:
Equivalent Excel functions:
CHIDIST