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0 votes
0 answers
10 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
2 answers
115 views

Distribution and variable analysis

I am doing a statistical test (program used is SPSS). On the basis of distribution and sample size, I have to chose the correct variable analysis. I also have to justify every decision. I have two ...
Chester's user avatar
  • 21
-1 votes
1 answer
184 views

Independent Sample T-test or Mann-Whitney U test?

I am a very young stats learner, and I need help understanding the justification of a test choice. I have a sample of 39 participants (20 females and 19 males) been measured on task performance, and I ...
marth's user avatar
  • 1
4 votes
1 answer
106 views

Nonparemetric tests: how to support the null hypothesis you claim to be testing

Let us assume that we have taken an unbalanced number of independent random samples from 5 different populations, which will be analogous to 5 different locations in this example. Each observation ...
Ryan's user avatar
  • 351
0 votes
0 answers
53 views

Finding the right hypothesis test

I have two distributions (Generic and Generic Masked) that I want to compare. I want to show that one is distributed closer to 1 than the other, but don't know which hypothesis to test for this. I ...
Jimmy2027's user avatar
  • 121
3 votes
1 answer
2k views

Test to show one distribution is bigger than another

Here is a MWE of my problem: I measure the size, $S$, of 10 red apples and 32 green apples. $\bar S_\mathrm{red} = 8 \pm 1\,\mathrm{cm}$ and $\bar S_\mathrm{green} = 4 \pm 2\,\mathrm{cm}$. I want ...
Sean Mooney'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
5 votes
4 answers
2k views

Why use parametric test at all if non parametric tests are 'less strict'

I have read from several sources, even in my undergrad courses, that parametric tests require the data to have a certain distribution, for instance normal, whilst non-parametric don't. I have ...
user2552108's user avatar
2 votes
1 answer
919 views

Distribution-free test for two-sample multivariate distributions

Suppose that $X_1, \cdots, X_n$ and $Y_1, \cdots, Y_n$ are samples of $R^d$ vectors with distributions $X$ and $Y$ respectively. In addition, assume that there is one-to-one mapping between the first ...
MTI's user avatar
  • 23
0 votes
0 answers
92 views

How to check if two samples come from the same population? [duplicate]

I was wondering if or which tests can be used to test if two samples come from the same population for data that is not normally distributed?
uglycode's user avatar
  • 203
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
0 votes
1 answer
379 views

Non parametric: How to detect different groups

I have data sets for different serial numbers of devices. Those data are not following a normal distribution. I would like to know which serial numbers are behaving differently from the overall ...
Michael Hooreman's user avatar
19 votes
3 answers
2k views

Statistical test for two distributions where only 5-number summary is known?

I have two distributions where only the 5-number summary (minimum, 1st quartile, median, 3rd quartile, maximum) and sample size are known. Contrary to the question here, not all data points are ...
bonifaz's user avatar
  • 1,095
1 vote
0 answers
62 views

Analysis of computer software performance

I am currently collecting data from a software system that draws conclusions about the nature of certain structures in medical CT chest scans. Structures in the chest can be classified into four types:...
kaiserphellos's user avatar
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

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