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One Sample Chi-Square-Test

Certain problems require not only that the mean conforms to some restrictions, but also that the variance is within certain limits, i.e. not larger than a given value. So we have to compare the estimated sample variance  with the hypothetical variance s2. When the samples are normally distributed, the ratio .(n-1) / s2 follows a -distribution (pronounced: chi-square).

The upper tails of the distribution have been tabulated (or you may use the distribution calculator). (a) depicts the area of a% in the upper tail of the  distribution, i.e. Prob( (a )) = a . The shape of the -distribution depends on the degrees of freedom n-1.


Last Update: 2005-Jul-16