Chi square distribution has a large number of applications in statistics, some of which are enumerated below:

- To test if the hypothetical values of the population variance is σ2 = σ 02
- To test the goodness of fit
- To test the independence of attributes
- To test the homogeneity of independent estimates of the population variance.
- To combine various probabilities obtained from independent experiments to give a single test of significance.
- To test the homogeneity of independent estimates of the population correlation coefficient.

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- Exact Sampling distributions
- Derivation Of The Chi Square Distribution
- Moment Generating Function Of x
^{2}Distribution - Cumulant Generating Function Of x
^{2}Distribution - Limiting form of x
^{2}distribution for large degrees of freedom - Characteristic function of x
^{2}distribution: - Chi Square Probability Curve
- Conditions For The Validity Of Chi Square Test

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