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0 votes
0 answers
11 views

How to compare peak location and tail length of two different distributions?

I have the distributions of the fraction of people in each income bracket in a town in 1990 and 2020. The total sample size is the same in both, and assume that the incomes have been adjusted to ...
SNIreaPER's user avatar
2 votes
0 answers
69 views

When is the central limit theorem not applied?

I am trying to compare two matched samples. In total I have a sample of 34 people. Each patient receives two treatments, a C1 treatment and a C2 treatment. So each patient will be compared to himself ...
Seydou GORO's user avatar
32 votes
3 answers
5k views

Why does the Kolmogorov-Smirnov test work?

In reading about the 2-sample KS test, I understand exactly what it is doing but I don't understand why it works. In other words, I can follow all the steps to compute the empirical distribution ...
Darcy's user avatar
  • 915
1 vote
0 answers
95 views

What among location, scale and shape is Kolmogorov–Smirnov test statistic sensitive to and why? [closed]

I understand that the Kolmogorov–Smirnov test statistic for a given cumulative distribution function $F(x)$ is $D_n = \sup_x |F_n(x) - F(x)|$. However, if I have to rank its sensitivity to location, ...
GeorgeOfTheRF's user avatar
1 vote
0 answers
261 views

Non-parametric test for unimodality of 2-d dataset

I'm looking for a method to determine if a 2-d dataset forms a single cluster or is split into two/multiple clusters - and what's the likelihood or p-value for this. Isolated data should not be ...
Monica Dragan's user avatar