Documentation/Calc Functions/CHITEST
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Function name:
CHITEST
Category:
Statistical Analysis
Summary:
Returns the probability of a deviance from a random distribution of two test series based on the chi-square test for independence. CHITEST returns the chi-square distribution of the data.
Syntax:
CHITEST(DataB; DataE)
Returns:
Returns a real number which is the chi-square distribution of the data. It is a probability and hence it ranges from 0 to 1, i.e. [0,1].
Arguments:
DataB is a range of references to the cells containing the array of the observations.
DataE is a range of references to the cells containing the range of the expected values.
- If DataB and DataE have different number of data points then the function returns an error value.
- If any of the cell whose reference is passed contains non-numeric value then the function returns an error value.
Additional details:
- The probability determined by CHITEST can also be determined with CHIDIST, in which case the chi-square of the random sample must be passed as a parameter instead of the data row.
- The χ2 test first calculates a χ2 statistic using the formula:
where:
Aij = element of actual data which is DataB in our case
Eij = element of expected values which is DataE in our case
r = number or rows
c = number of columns
Then CHIDIST is called with chi-square value and a degree of freedom (df). If r>1 and c>1: df = (r-1)(c-1) else df = r*c-1 and CHITEST = CHIDIST(χ2;df).
- For more details on CHITEST, visit Wikipedia
Examples:
Data_B (observed) | Data_E (expected) | |
---|---|---|
1 | 195 | 170 |
2 | 151 | 170 |
3 | 148 | 170 |
4 | 189 | 170 |
5 | 183 | 170 |
6 | 154 | 170 |
Formula | Description | Returns |
---|---|---|
=CHITEST(A1:A6;B1:B6) | This is the probability that suffices the observed data of the theoretical Chi-square distribution. | 0.020975769403022 |
=CHITEST(A1:A5;B1:B6) | DataB size not equal to that of DataE so the function will return an error value. | Err:502 |
Related LibreOffice functions:
ODF standard:
Equivalent Excel functions:
CHITEST