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The characteristics of the chi-square distribution are: A. The value of chi-square is never negative. B. The chi-square distribution is positively skewed. C. There is a family of chi-square distributions.
The Chi-square test is a statistical test that is usually used to test how well a data set fits some hypothesised distribution.
A chi-square statistic which is near zero suggests that the observations are exceptionally consistent with the hypothesis.
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The underlying principle is that the square of an independent Normal variable has a chi-square distribution with one degree of freedom (df). A second principle is that the sum of k independent chi-squares variables is a chi-squared variable with k df.