Manuals/calci/CHITEST

CHITEST (a, b)

Where ‘a ‘is the observations to test against the expected values and ‘b’ is the ratio of the product of row totals and column totals to the grand total.

• This function returns the test for independence.
• Sometimes CHITEST returns the error value, when ‘a’ and ‘b’ have a different number of data points.
• It is calculated using the formula:

Where:
Aij = actual frequency in the i-th row, j-th column
Eij = expected frequency in the i-th row, j-th column

r = number or rows and c = number of columns

χ2 is always positive or 0, and is 0 only if Aij = Eij for every i, j.

	Column1	Column2	Column3	Column4
Row1	45	38	0.000313
Row2	10	23
Row3	12	26
Row4	40.5	49.36
Row5	19.56	16.44
Row6	17.05	17.41

Let’s see an example

B C

45 38

10 23

12 26

40.5 49.36

19.56 16.44

17.05 17.41

CHITEST (a, b)

i.e. =CHITEST (B2; C4, B5:C7) is 0.003