FORMULA FOR CHI SQUARE
∑
−
=
e
e
o
f
f
f
2
2
)
(
χ
f
e
=
expected frequencies
f
o
= observed frequencies
f
e
= (column total)(row total)
N
OR
f
e
= (% column total)x(row total)
df = (r – 1)(c – 1)
r = the number of rows
c = the number of columns
This table will vary in size
Variable 1
Variable 2
Attribute
Attribute
Total
Attribute
f
o
f
o
Row total
Attribute
f
o
f
o
Row total
Attribute
f
o
f
o
Row total
Total
Column total
Column tota
N (Sample total)
Table you create to calculate Chi Square, this will vary depending on the size of
your crosstab (the table)
Cell
f
o
f
e
f
o
f
e
(f
o
f
e
)
2
(f
o
f
e
)
2
/f
e
Upper left
Upper right
Middle left
Middle right
Lower left
Lower right
S
U
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View Full DocumentOnce you have calculated
X
2
by summing that final column, you need to calculate
the degrees of freedom for the size of your original table,
df = (r – 1)(c – 1)
r = the number of rows
c = the number of columns
Use this value, and the value for
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 Spring '11
 Heberle
 French Revolution, CHI SQUARE

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