# Pearson’s Chi-square for Canonical Correlation Analysis

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Tests for independence between two sets of Categorical questions, containing ${\displaystyle p}$ and ${\displaystyle q}$ variables or categories respectively. The tests statistic is:

${\displaystyle V=\sum _{i=1}^{m}nr_{i}^{2}}$

where

${\displaystyle n}$ is the Effective Sample Size,
${\displaystyle p\approx \Pr(\chi _{pq}^{2}\geq \Lambda )}$.

Note that when preparing the data Q will modify ${\displaystyle p}$ and ${\displaystyle q}$ as required (explanations are provided in the test outputs).