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0 votes
0 answers
229 views

How to interpret results from the data if Levene's test is violated?

I'm doing ANCOVA analysis. So, the assumption of Levene's test is violated which means I have to run a non-parametric test. Does that mean I can't interpret other results that I obtained from the data ...
Lavvanya's user avatar
3 votes
2 answers
180 views

How to handle assumptions of statistical tests?

Does any definitive work exist, e.g. a review, a book chapter, or a book, on the advantages and disadvantages of existing approaches? Is there a consensus on which approach is the right one? I have ...
rokamama's user avatar
  • 199
20 votes
3 answers
3k views

When to check model assumptions

Statistical methods are based on model assumptions. For example, an independent one-way ANOVA makes the following assumptions: Normally distributed residuals Homogeneity of variance Independence of ...
Michael McCarthy's user avatar
3 votes
1 answer
279 views

Do non-parametric tests depend on homoscedastic data?

I am finding myself having to perform non-parametric tests, primarily Mann-Whitney tests, on datasets which are not normally distributed. I notice that the datasets are not homoscedastic - do these ...
blammo69's user avatar
7 votes
3 answers
9k views

Can I use the Mann-Whitney U test sequentially (pairwise) when I have three groups or do I need to use the Kruskal-Wallis test?

My question has three parts (the method and results for my experiment follow the questions): If I have three groups of non-parametric sample data, can I use the Mann-Whitney U test to test the Null ...
croc7415's user avatar
  • 213
1 vote
0 answers
35 views

How can one verify distributional assumptions for testing procedures, if only one draw from each distribution is available

I am currently dealing with a situation in which the Wilcoxon signed rank test (WSRT) is a possible candidate to be applied to the data. So let`s say we have $n$ pairs of Random Variables $(X_i, Y_i)$ ...
Sebastian's user avatar
  • 3,104
2 votes
1 answer
1k views

Assumptions of the Friedman Rank Test

Let $X_i:= (X_{i,1}, ..., X_{i,k}) $ for $i =1...n$ be $\mathbb{R}^k$-valued random Variables with $k\geq2$. I wonder what the exact assumptions are to apply the Friedman test to Realisations of ...
Sebastian's user avatar
  • 3,104
1 vote
0 answers
66 views

Non-parametric hypothesis test - to account for violations of regression model

I am performing a multiple linear regression with response, Y and independent variables X1, X2 and intercept term. The regression coefficients indicate statistically significant prediction of both X1 ...
Nitin's user avatar
  • 53
9 votes
2 answers
201 views

How do you verify test assumptions in real world cases, without testing them

We know that, formally, the assumptions of a test cannot be tested, because if we choose what test to use based on the results of the test, the resulting composite test has unknown properties (Type I ...
DeltaIV's user avatar
  • 18.3k
2 votes
0 answers
435 views

What is the nonparametric variant of multivariate ANOVA with more than one one factor (and with interactions between factors)? [duplicate]

I analyze real data where assuptions of classical multiway (more than one factor assumed) MANOVA (more than one response variable) are not met (normality, equal variances). Is there any nonparametric ...
sitems's user avatar
  • 3,989