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How to calculate the Kolmogorov-Smirnov test of normality?
The Kolmogorov-Smirnov Test of Normality. This Kolmogorov-Smirnov test calculator allows you to make a determination as to whether a distribution – usually a sample distribution – matches the characteristics of a normal distribution.
How is the cumulative p value of Kolomogrov calculated?
Hence, the cumulative p-value can be calculated using the kolomogrov distribution. A p-value of, say 80%, implies that only 20% of samples, taken from the theoretical distribution for given distribution statistics, would contain a difference in D statistic above the obtained value.
How to interpret p-value of K-S test?
The p-value returned by the k-s test has the same interpretation as other p-values. You reject the null hypothesis that the two samples were drawn from the same distribution if the p-value is less than your significance level. You can find tables online for the conversion of the D statistic into a p-value if you are interested in the procedure.
What should the p value of 80% be?
A p-value of, say 80%, implies that only 20% of samples, taken from the theoretical distribution for given distribution statistics, would contain a difference in D statistic above the obtained value. Note that ideally we want the two distributions to be equal and hence D to be zero. As the distributions vary, the D-value increases.
How to calculate the KINV of the Kolmogorov distribution?
where c(α) = the inverse of the Kolmogorov distribution at α, which can be calculated in Excel as Dm,n,α = KINV (α)*SQRT ((m+n)/ (m*n)) where KINV is defined in Kolmogorov Distribution. The values of c(α) are also the numerators of the last entries in the Kolmogorov-Smirnov Table.
How is the p value of KS calculated?
I am giving below the salient points with regard to interpretation of p-value of KS statistic and its statistics and manual calculation procedures: The D statistic (one sample), calculated through the KS test, measures the maximum difference between empirical and theoretical distributions that you wish to compare.