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Pearson chi-squared goodness-of-fit test

{c}

For an $r$ by $c$ contingency table, the statistic
$$
X^2=\sum_{i,j}\frac{(O_{ij}-E_{ij})^2}{E_{ij}}
$$
has asymptotically a chi-squared distribution with $(r-1)(c-1)$ degrees of freedom under independence.


Pearson chi-squared test of independence

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Pearson chi-squared statistic for contingency tables

Pearson chi-squared test of homogeneity

Pearson chi-squared test of independence

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Pearson chi-squared test of independence

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