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psychology - research methods
inferential statistics
Chi Squared
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Cards (6)
how to calculate Chi Squared
add
totals
for each column
calculate
expected frequencies
for each cell
calculate chi square for each cell
calculate
degree of freedom
use table of
critical values
of chi squared
formula for expected frequencies
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\frac{row\ total\ x\ column\ total}{overall\ total}
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formula for chi squared
x
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=
x^2\ =
x
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=
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exp
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exp
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\ \xi\frac{\left(observed\ -\ \exp ected\right)^2}{\exp ected}
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formula for degree of freedom
(number of rows - 1) x (number of columns - 1)
observed value less than critical value
difference not
significant
so null hypothesis is
accepted
and alternative hypothesis is
rejected
observed value is greater or equal to critical value
difference is
significant
so
null hypothesis
is
rejected
and
alternative hypothesis
is
accepted
