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.
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A chi-square statistic which is near zero suggests that the observations are exceptionally consistent with the hypothesis.
The Chi-squared statistic can be used to test for association.
A chi-squared test is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true.
i don't know. i think very complicated.
A chi-square statistic can be large if either there is a large difference between the observed and expected values for one or more categories. However, it can also be large if the expected value in a category is very small. In the first case, it is likely that the data are not distributed according to the null hypothesis. In the second case, it can often mean that that, because of low expected values, adjacent categories need to be combined before the chi-square statistic is calculated.