All Questions
16
questions
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 ...
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 ...
-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 ...
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 ...
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 ...
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 ...
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, ...
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 ...
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 ...
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?
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 $(m<n)\times p$ ...
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 ...
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 ...
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:...
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 ...