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0 votes
0 answers
37 views

Relation between the sample size with the powers of Kolmogorov Smirnov, Cramer Von Mises and Anderson Darling?

I want to know the mathematical relation between the sample size with the powers of 1. Kolmogorov Smirnov, 2. Cramer Von Mises, and 3. Anderson Darling. I have seen many posts and other websites ...
user391733's user avatar
2 votes
0 answers
464 views

Multiple comparisons version of Kolmogorov-Smirnov test

Suppose $\mathbf{y}_{i} $ and $ \mathbf{x}_{i}\,$ are length-$m$ vectors and $D_{i}$ is some arbitrary distribution $(i=1,...,N)$. I would like to conduct the following hypothesis test: $ H_{0}: \...
Mathew Carroll's user avatar
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
2 votes
0 answers
58 views

Parametric test for testing if two sets of samples came from the same normal distribution with unknown parameter?

Is there a parametric test to see if two sets of samples came from the same normal distribution with unknown parameter? Suppose I have one set of samples $X_1, X_2, \dots, X_m$ and another set of ...
Tianyang Li's user avatar
2 votes
0 answers
54 views

Suggest a (nonparametric?) test for the difference between two strictly-positive distributions

$\mathbf{X}$ is a $n\times p$ matrix of data. I'm treating $\mathbf{X}$ as having a multivariate normal distribution with some arbitrary covariance structure. $\mathbf{Y}$ is a $(m<n)\times p$ ...
generic_user's user avatar
  • 13.5k
6 votes
3 answers
7k views

Alternative to Kolmogorov-Smirnov test when parameters are estimated from the data

I need to compare whether two distributions are similar when the values are scaled by the mean of each of the distribution. One limitation of ks-test as per http://www.itl.nist.gov/div898/handbook/eda/...
imsc's user avatar
  • 171
2 votes
2 answers
1k views

Nonparametric test statistics for non-equal sample sizes

If I have two samples, with one 30-times larger than the other, which nonparametric test statistics should be considered for checking the null of equal distribution? I am using Kolmogorov-Smirnov ...
aravind ramesh's user avatar