How to interpret p-value of K-S test?

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.

How to interpret scipy.stats.kstest and kstest?

Here, you simply fit a gamma distribution on some data, so of course, it’s no surprise the test yielded a high p-value (i.e. you cannot reject the null hypothesis that the distributions are the same). It should be obvious these aren’t very different.

Is it possible to fit distributions with SciPy?

This is just showing how to fit: Fitting distributions, goodness of fit, p-value. Is it possible to do this with Scipy (Python)?

What is the d statistic of the K-S test?

The D statistic is the absolute max distance (supremum) between the CDFs of the two samples. The closer this number is to 0 the more likely it is that the two samples were drawn from the same distribution. Check out the Wikipedia page for the k-s test.

How to interpret the p-value of a statistic?

Interpretation. The p-value is the probability of obtaining a test statistic (such as the Kolmogorov-Smirnov statistic) that is at least as extreme as the value that is calculated from the sample, when the data are normal. Larger values for the Kolmogorov-Smirnov statistic indicate that the data do not follow the normal distribution.

How to interpret p-value of Kolmogorov-Smirnov test?

Check out the Wikipedia page for the k-s test. It provides a good explanation: https://en.m.wikipedia.org/wiki/Kolmogorov%E2%80%93Smirnov_test The p-value returned by the k-s test has the same interpretation as other p-values.

How is the d statistic calculated in the KS test?

The D statistic (one sample), calculated through the KS test, measures the maximum difference between empirical and theoretical distributions that you wish to compare. The statistic (D*sqrt (sample size)) is distributed as per Kolomogrov distribution which is well explained in the wikepedia page on ks test.