Chi-Square Test of a Frequency Distribution

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Tests the null hypothesis that the observed values of a categorical variable diff from the expected values. The test statistic is

X^2 = \sum^s_{k=1}  \frac{(o_{kj} - e_{kj})^2}{e_{kj}}

where:

o_{k} are the observed values,
e_{k} = are the expected values,
p \approx \Pr(\chi^2_{(s-1)} \ge X^2)

See also