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2. Chi-squared distribution - Wikipedia

   en.wikipedia.org/wiki/Chi-squared_distribution

   The chi-squared distribution is obtained as the sum of the squares of k independent, zero-mean, unit-variance Gaussian random variables. Generalizations of this distribution can be obtained by summing the squares of other types of Gaussian random variables. Several such distributions are described below.

3. Chi-squared test - Wikipedia

   en.wikipedia.org/wiki/Chi-squared_test

   Chi-squared distribution, showing χ2 on the x -axis and p -value (right tail probability) on the y -axis. A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large. In simpler terms, this test is primarily used to examine whether two categorical ...

4. Proofs related to chi-squared distribution - Wikipedia

   en.wikipedia.org/wiki/Proofs_related_to_chi...

   The chi square distribution for k degrees of freedom will then be given by: where is the standard normal distribution and is that elemental shell volume at Q ( x ), which is proportional to the ( k − 1)-dimensional surface in k -space for which. It can be seen that this surface is the surface of a k -dimensional ball or, alternatively, an n ...

5. Reduced chi-squared statistic - Wikipedia

   en.wikipedia.org/wiki/Reduced_chi-squared_statistic

   Reduced chi-squared statistic. In statistics, the reduced chi-square statistic is used extensively in goodness of fit testing. It is also known as mean squared weighted deviation ( MSWD) in isotopic dating [1] and variance of unit weight in the context of weighted least squares. [2] [3]

6. Inverse-chi-squared distribution - Wikipedia

   en.wikipedia.org/wiki/Inverse-chi-squared...

   CF. In probability and statistics, the inverse-chi-squared distribution (or inverted-chi-square distribution [1]) is a continuous probability distribution of a positive-valued random variable. It is closely related to the chi-squared distribution. It arises in Bayesian inference, where it can be used as the prior and posterior distribution for ...

7. Chi-square - Wikipedia

   en.wikipedia.org/wiki/Chi-square

   Chi-square. The term chi-square, chi-squared, or has various uses in statistics : chi-square distribution, a continuous probability distribution. chi-square test, name given to some tests using chi-square distribution. chi-square target models, a mathematical model used in radar cross-section. Category: