Abstract
Abstract This article complements the introductory article on the chi‐square distribution, with details of its derivation as the distribution of the sum of squares of standard normal deviates, the density being a gamma function, and the relationship between its distribution function and that of the Poisson distribution. When the component normal distributions have nonzero mean, the sum of squares has a noncentral chi‐square distribution, depending on a noncentrality parameter, the sum of squares of the normal means. This plays a role in determining the power of a chi‐square test.
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