chi-square distribution

In probability theory and statistics, the chi-square distribution (also chi-squared or distribution) is one of the most widely used theoretical probability distributions in inferential statistics, i.e. in statistical significance tests. It is useful because, under reasonable assumptions, easily calculated quantities can be proven to have distributions that approximate to the chi-square distribution if the null hypothesis is true.
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The Chi-square distribution is defined by:

where
is the degree of freedom
is the base of the natural logarithm, sometimes called Euler's e (2.71...)
(gamma) is the Gamma function
Chi-square Distribution (animation)
The above animation shows the shape of the Chi-square distribution as the degrees of freedom increase (1, 2, 5, 10, 25 and 50).

Chi-square distribution
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chi-square distribution
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