Chi-square Distribution


In statistics, the chi-square distribution is a probability distribution of the sum of the squares of k independent standard normal random variables. It is widely used in hypothesis testing, goodness of fit tests, and confidence interval estimation. The distribution has a single parameter, the degrees of freedom (df), which determines its shape. As the df increases, the distribution becomes more symmetric and approaches a normal distribution. The chi-square distribution is also used in various statistical tests, such as the chi-square test for independence and the chi-square test for homogeneity.


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