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Excel CHISQ.TEST function

The CHISQ.TEST function calculates the chi-squared distribution of two provided data sets (the observed and expected frequencies), which can be used to test the independence of two categorical variables.

Tips: To learn more about the chi-squared distribution, you can visit this page on Wikipedia.

Note: This CHISQ.TEST function is only available in Excel 2010 and later versions.

Syntax

=CHISQ.TEST(actual_range, expected_range)

Arguments

Actual_range (required): An array of observed frequencies used to test against the expected data.
Expected_range (required): An array of expected frequencies.

Remarks

1. The #N/A error occurs if either:
-- Two supplied arrays have different numbers of cells;
-- Either of the two arrays contains only one cell.
2. The #NUM! error occurs when any of the values in the expected data range is negative;
3. The #DIV/0! error occurs when any of the values in the expected data range is zero;
4. The equation of the CHISQ.TEST function is as follows.

where,
Aij is the actual or observed frequencies in the i’th row and j’th column;
Eij is the expected frequencies in the i’th row and j’th column;
r is the number of rows;
c is the number of columns.

Return value

It returns a numeric value.

Example

To calculate the chi-squared distribution of two provided data sets (the observed and expected data in the screenshot below), you can do as follows.

Select a cell to output the result, for example D13, enter the formula below and press the Enter key.

=CHISQ.TEST(C8:D10,G8:H10)

Related Functions

Excel CHISQ.INV function
The CHISQ.INV function calculates the inverse of the left-tailed probability of the chi-squared distribution.

Excel CHISQ.INV.RT function
The CHISQ.INV.RT function calculates the inverse of the right-tailed probability of the chi-squared distribution.

Excel CONFIDENCE.NORM function
The CONFIDENCE.NORM function uses a normal distribution to calculate the confidence interval for a population mean.

Excel CONFIDENCE.T function
The CONFIDENCE.T function uses a student’s distribution to calculate the confidence interval for a population mean.

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