All Questions
Tagged with nonparametric hypothesis-testing
308
questions
5
votes
3
answers
134
views
Non-parametric one-sample mean test for a bounded variable (based on Chebyshev's inequality?)
The problem
I have $x_1, \ldots , x_n$ i.i.d. draws from r.v. $X$ such that $0 \leq X \leq 1$, but I can't make any other assumptions about the distribution.
I want to test the null hypothesis that $E(...
- 2,516
1
vote
0
answers
35
views
Combining Data from Multiple Participants for Statistical Analysis of a Facial Expression Memory Task
Context of the Query: I am working on a project involving a memory task for facial expressions, consisting of two phases:
Encoding Phase: In this phase, participants are exposed to 8 virtual ...
1
vote
0
answers
25
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Paired Non-parametric test with more than 3 groups but just two timepoints
I may not have found the right term to search for, so I am asking what might be a straightforward question:
Assume we have an experiment with paired non-normal distributed data, called "Pre" ...
0
votes
0
answers
22
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Statistical Significance Testing for Nested Cross-Validation in ML Experiment
I am currently working on an ML experiment where I use a nested 5-cross validation procedure and obtain a NDCG@10 scores for each test user. I am comparing 6 different ML algorithms and have data for ...
- 81.5k
3
votes
0
answers
90
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Best Test For Generalized/Nonparametric Behrens-Fisher Problem
First, because there seems to be a confusion of what the generalized Behrens-Fisher problem is a description adapted from [1].
We have $X_1,\ldots,X_m$ i.i.d. from distribution $P$ and $Y_1,\ldots,...
- 81.5k
3
votes
2
answers
204
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sample size in chi-squared test
The chi-square test of independence is a type of non-parametric test, but in cases of small sample sizes, the Fisher's exact test should be used instead. My understanding of non-parametric methods is ...
- 5,392
22
votes
7
answers
2k
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Isn't it problematic to look at the data to decide to use a parametric vs. non-parametric test?
I've seen in some instances of people mentioning that using a parametric vs. non-parametric approach may be decided by looking at the data. For example this question: nonparametric vs. parametric
Isn'...
- 95.9k
0
votes
0
answers
34
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How do I get from integral to computational formula of Cramér-von Mises statistic step by step?
My question is related to the calculus procedures behind Cramér-von Mises test.
How do I get from integral:
to computational formula:
of Cramér-von Mises statistic, step by step?
I understand the ...
- 58.6k
1
vote
1
answer
121
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Deriving Sample version of Anderson Darling test statistic from the theoretical version
In literature, I have seen two types of Anderson-Darling test statistic. One is expressed as
$A_T^2 = n\int_{-\infty}^{\infty}\frac{(F_n(x)-F(x))^2}{F(x)(1-F(x))}dF(x)$ and the other is given by $A_s^...
1
vote
1
answer
309
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Why can the null and alternate hypotheses of McNemar's test be written in terms of dependance/independance of tests?
Consider a study to examine whether food frequency questionnaires and three-day food diaries are equally likely to label a women as consuming less than the RDA of calcium. Because calcium intake can ...
CommunityBot
- 1
2
votes
1
answer
1k
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Confidence intervals for non-parametric statistics
I have a positive random variable $X$ (say, price or latency or energy) and I want to be able to say something like
I am 95% confident that $P(X<42)>0.9$ (percentile) or $P(X<22)\ge\frac12$ (...
CommunityBot
- 1
2
votes
1
answer
1k
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Parametric vs Non parametric test difference
I'm reading PDQ Statistics[1], I have a small base of statistics and I can't figure out this statement from the book.
They assure in the book that
It seems that most people who have taken a stats ...
- 286k
0
votes
0
answers
29
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Why does the Dunn's test in online calculator rejects the null hypothesis while my manual computations cannot reject it?
In my own manual calculations of the Dunn's Test in google sheet, using the formula from a YouTube video, I managed to calculate the same Test Statistic as the online calculator.
However, using the ...
0
votes
0
answers
25
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Appropriate Trend Analysis Test for Small Sample Size
Note: I have read Finding an appropriate trend test but unfortunately this post does not apply for me
Suppose I have a small sample of data for 2 numeric variables $T$ and $Y$ where $T$ represents ...
- 215
5
votes
2
answers
9k
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Why does using a non-parametric test decrease power?
I am thinking about using the Mann Whitney U test over Student's classic t-test. But I was warned that I'd lose power and would require a higher sample size to compensate.
I don't understand: Why ...
- 286k