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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
28 votes
4 answers
21k views

Is there an equivalent to Kruskal Wallis one-way test for a two-way model?

If the model does not satisfy ANOVA assumptions (normality in particular), if one-way, Kruskal-Wallis non-parametric test is recommended. But, what if you have multiple factors?
user4267's user avatar
  • 351
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
18 votes
5 answers
5k views

Checking ANOVA assumptions

A few months ago I posted a question about homoscedasticity tests in R on SO, and Ian Fellows answered that (I'll paraphrase his answer very loosely): Homoscedasticity tests are not a good tool ...
aL3xa's user avatar
  • 2,211
6 votes
4 answers
3k views

Is there a non-parametric form of a 3-way ANOVA?

I am currently in the process of writing a publication about the home range of cat shark species in South Africa. However, I am currently struggling with how to create an interaction model of shark ...
Tom Johnson's user avatar
0 votes
2 answers
256 views

Is there an assumption-free ANOVA?

ANOVA presupposes a normal distribution and equal variance. Kruskal–Wallis (non-parametric ANOVA) assumes that all population distributions are the same (except their parameters). I'd like to know if ...
Davi Américo'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
6 votes
1 answer
9k views

Friedman's test and post-hoc analysis

I am carrying out a statistical analysis for my research. I am using a Friedman's test with post hoc analysis. At present I am using the function ...
giovanna's user avatar
11 votes
3 answers
26k views

Non-parametric test equivalent to mixed ANOVA?

I have an experiment with two groups under different conditions where a single dependent variable is measured repeatedly at multiple times. It seems the right parametric test to use here is two-...
Alex I's user avatar
  • 1,153
9 votes
2 answers
10k views

Non-parametric for two-way ANOVA (3x3)

My dependent variable is continuous, non-normal (skewed left according to Shapiro-Wilk test). I have two independent variables (treatment group by colour, food type). There are 3 levels within each ...
mbee's user avatar
  • 101
8 votes
2 answers
4k views

General approach for non-parametric two-way ANOVA

Apologies for the almost text-book like question. I have a 2x2 design with fixed categories and a continuous response variable. If the variances are equal between groups (Bartlett test) and ...
Yannick Wurm's user avatar
4 votes
2 answers
1k views

Can I use multiple regression on a ranked response variable as a significance test for multiple covariates?

This blog post illustrates the relationship between inference tests on groups (t-test, ANOVA, etc.) and equivalent linear models. It also claims that for reasonable sample size, regression of a ranked ...
abalter's user avatar
  • 1,138
9 votes
4 answers
6k views

Multi-way nonparametric anova

I have to analyze a factorial design with five factors (one of them nested in another one) and numeric responses. I would like to perform a nonparametric ANOVA, but of course I can't use neither ...
user avatar
8 votes
2 answers
62k views

Non-parametric alternative for 2-way ANOVA [duplicate]

Suppose I have 2 independent variables whereby normal distribution can be assumed. However, there is unequal variance and interaction between the two factors is unknown. Could someone suggest an ...
Angel's user avatar
  • 101
7 votes
2 answers
5k views

Nonparametric alternative to ANOVA for testing the difference between several brand preferences

I have collected a data from about 200 customers on their brand preference of 5 international fast food chain shops. Each customer was asked to rank all the 5 brands from highest to lowest (5 for the ...
Blain Waan's user avatar
  • 3,605

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