CHITEST gives unexpected value

[telmo_trooper]

I have two columns denoting respectively observed and expected frequency, I then calculate X² (chi-square) for each row with ((OBSERVED-EXPECTED)^2)/EXPECTED) and proceed to SUM all rows to get the actual X² value. The resulting value is different from the value given by CHITEST and I can’t seem to understand why (in fact, I can’t really find much documentation about this function at all).
Also, the values in my table are rounded for display.

Observed    Expected  X²
3           4.0       0.26
15          18.5      0.66
47          42.5      0.47
76          65.2      1.78
68          75.0      0.66
74          69.0      0.36
46          52.9      0.90
39          34.8      0.52
15          20.0      1.25
9           10.2      0.15
5           4.7       0.02
2           2.0       0.00
0           0.8       0.75
1           0.3       2.02

SUM: 9.782  CHITEST: 0.712

Here’s my table (in case it’s useful): Exemplo_Qui-Quadrado.ods

Could someone explain to me how is the value of CHITEST calculated?

[mikekaganski]

The function CHITEST is implemented in ScInterpreter::ScChiTest. In your spreadsheet, given the χ² (result of ) in E17, the function is equal to

=CHIDIST(E17;13)

where 13 is degrees of freedom: number of rows of a test series (14) decremented by 1 and multiplied by number of columns (1).

[telmo_trooper]

Thank you!