Kolmogorov Smirnov Test Statistic. The kolmogorov smirnov statistic quantifies a distance between the empirical distribution function of the sample and the cumulative distribution function of the reference distribution or. The kolmogorov smirnov goodness of fit test k s test compares your data with a known distribution and lets you know if they have the same distribution.
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F r x the theoretical frequency distribution. D m a x i m u m f o x f r x. In statistics the kolmogorov smirnov test is a nonparametric test of the equality of continuous one dimensional probability distributions that can be used to compare a sample with a reference probability distribution or to compare two samples.
D m a x i m u m f o x f r x.
And f o x k n no of observations x total no of observations. D m a x i m u m f o x f r x. The kolmogorov smirnov statistic quantifies a distance between the empirical distribution function of the sample and the cumulative distribution function of the reference distribution or. The kolmogorov smirnov test statistic is defined as d max 1 le i le n left f y i frac i 1 n frac i n f y i right.
