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$p_{i.} = \frac{n_{i.}}{n}$
$p_{ij} = p_{i.}p_{j.}$
$O_{ij} = $ Number of observed sample in $(,j)$
$\chi^2 = \sum_i\sum_j\frac{(O_{ij} - E_{ij})^2}{E_{ij}}$