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Chi-Squared Distribution
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Parameters
Degrees of freedom k
Significance level α
Key Concepts
• χ² distribution is the sum of k squared standard normal variables
•
Mean = k
, Variance = 2k, right-skewed (becomes more normal as k increases)
• Red tail = rejection region: if χ²_stat > χ²_crit, reject H₀
• Used for goodness-of-fit tests and tests of independence in contingency tables
• IB Biology: χ² test for association, df = (rows−1)(cols−1)
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