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1 vote
0 answers
4 views

Combining Data from Multiple Participants for Statistical Analysis

My question is: Are there any statistical techniques that allow for the combination of data across multiple participants to form "macro-participants" for the calculation of statistics such ...
Clémentine Pouliot's user avatar
2 votes
0 answers
41 views
+100

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(...
Martin Modrák's user avatar
3 votes
2 answers
192 views

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 ...
Ivan's user avatar
  • 103
21 votes
7 answers
2k views

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'...
Coris's user avatar
  • 233
0 votes
0 answers
33 views

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 ...
Édio Renato Fávaro's user avatar
0 votes
0 answers
18 views

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 ...
Bernhard's user avatar
  • 101
0 votes
0 answers
29 views

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 ...
FifthRevelathor's user avatar
0 votes
0 answers
23 views

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 ...
NM_'s user avatar
  • 215
0 votes
0 answers
39 views

Non parametric tests for 2 way anova and linear model? [duplicate]

My dissertation is due very soon and I have only just realised a large mistake in my work. I misread the normality test I used, which actually showed non normal data- but I still have homogeneity of ...
Thomas B's user avatar
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
1 vote
1 answer
118 views

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^...
DevD's user avatar
  • 115
2 votes
1 answer
78 views

What non-parametric test for multivariate binary data should I use?

I have two different groups of participants ("g" and "b") answering the same set of questions. Group "g" answered questions in the same order. Group "b" ...
Roland D's user avatar
2 votes
2 answers
370 views

How could Lilliefors use Monte Carlo if the estimand is not distribution-free?

Lilliefors test is a well-known statistical test for normality. Its idea is based on the Kolmogorov-Smirnov test, except the CDF is replaced by the CDF of the normal distribution with $\mu, \sigma^2$ ...
Student's user avatar
  • 235
0 votes
0 answers
99 views

How to construct homogeneous subsets table for nonparametric tests?

Does post-hoc for friedman tests or nonparametric testshave like a homogeneous subset table from SPSS? Mean doesn't represent it well so I tried using median but my data was zero-inflated so the most ...
Derf's user avatar
  • 295
3 votes
1 answer
130 views

If I have a very small n for one group and a very large number of features, should I choose a parametric or a non-parametric test?

I have a dataset that contains human metabolite concetration in a fluid. One group has about 12 samples, while another only has 5. My question is if I can assume normality for this data and do ANOVA/t-...
maglorismyspiritanimal's user avatar

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