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29 votes
1 answer
57k views

What is the non-parametric equivalent of a two-way ANOVA that can include interactions?

Hi I am trying to find the non-parametric equivalent of a two-way ANOVA (3x4 design) which is capable of including interactions. From my reading in Zar 1984 "Biostatistical analysis" this is possible ...
user35595's user avatar
  • 291
63 votes
7 answers
54k views

Which permutation test implementation in R to use instead of t-tests (paired and non-paired)?

I have data from an experiment that I analyzed using t-tests. The dependent variable is interval scaled and the data are either unpaired (i.e., 2 groups) or paired (i.e., within-subjects). E.g. (...
Henrik's user avatar
  • 14.3k
19 votes
3 answers
18k views

A non-parametric repeated-measures multi-way Anova in R?

The following question is one of those holy grails for me for some time now, I hope someone might be able to offer a good advice. I wish to perform a non-parametric repeated measures multiway anova ...
Tal Galili's user avatar
  • 21.8k
6 votes
1 answer
2k views

Plotting non-parametric (E)CDF confidence envelopes for comparison

I have previously asked about a way to test whether two samples are drawn from the same distribution (Non-parametric test if two samples are drawn from the same distribution). I was very glad to learn ...
Luke Gorrie's user avatar
23 votes
2 answers
22k views

Power analysis for Kruskal-Wallis or Mann-Whitney U test using R?

Is it possible to perform a power analysis for the Kruskal-Wallis and Mann-Whitney U test? If yes, are there any R packages/functions that perform it?
Giorgio Spedicato's user avatar
15 votes
1 answer
10k views

Is there an alternative to the Kolmogorov-Smirnov test for tied data with correction?

I've got a bunch of data from two samples (control and treated), each containing several thousand values which are to undergo significance testing in R. Theoretically, the values should be continuous, ...
AnjaM's user avatar
  • 275
13 votes
1 answer
12k views

Friedman test vs Wilcoxon test

I'm trying to assess performance of a supervised machine learning classification algorithm. The observations fall into nominal classes (2 for the time being, however I'd like to generalize this to ...
AdrianoKF's user avatar
  • 233
9 votes
2 answers
7k views

Permutation test in R

I have the following data for 10 subjects based on before and after measurements: ...
user1453477's user avatar
7 votes
2 answers
28k views

Nonparametric equivalent of ANCOVA for continuous dependent variables

I have an independent categorical variable ($X$ with two categories, $x_{1}$ and $x_{2}$) and two continuous dependent variables ($y$ and $z$). Using a Mann Whitney test, I know that $y$ is ...
jetistat001's user avatar
28 votes
2 answers
19k views

Non-parametric test if two samples are drawn from the same distribution

I would like to test the hypothesis that two samples are drawn from the same population, without making any assumptions about the distributions of the samples or the population. How should I do this? ...
Luke Gorrie's user avatar
19 votes
2 answers
40k views

How to run two-way ANOVA on data with neither normality nor equality of variance in R?

I am working on my master thesis at the moment and planned on running the statistics with SigmaPlot. However, after spending some time with my data I came to the conclusion that SigmaPlot might not be ...
Sabine's user avatar
  • 191
7 votes
1 answer
3k views

bootstrapping a linear mixed model with R's lmeresampler or lme4 or a robust regression?

considering that I have a very small sample and that my residuals are non-normally distributed, I've decided to perform a lmer() with bootstrapping. This is my very ...
Larissa Cury's user avatar
3 votes
1 answer
9k views

Comparison between bootstrap percentiles confidence interval and BCa confidence interval?

I have generated a nonparametric percentiles bootstrap confidence interval ($32.27143, 51.08571$), and a BCA confidence interval ($33.26, 53.49$) with an initial sample size of $n=7$. Evidently, the ...
Sildona Ristani's user avatar
23 votes
5 answers
16k views

Test if multidimensional distributions are the same

Lets say I have two or more sample populations of n-dimensional continuous-valued vectors. Is there a nonparametric way to test if these samples are from the same distribution? If so, is there a ...
mbc's user avatar
  • 331
15 votes
1 answer
12k views

Is there an optimal bandwidth for a kernel density estimator of derivatives?

I need to estimate the density function based on a set of observations using the kernel density estimator. Based on the same set of observations, I also need to estimate the first and second ...
user13154's user avatar
  • 1,173

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