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The Pearson chi-square test will tell you how well a given set of observations fit some hypothesised distribution. That is, you have some idea as to what the distribution should be and the test will show how closely (or not) the observations agree with that.

Another use is to test the independence betwen two (or more) matched observation on a set of subjects.

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11y ago
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Q: What does the Pearson chi-square value tell us?
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