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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
3 votes
1 answer
692 views

I have applied many statistical tests to my data, but still cannot determine normality

I have run multiple tests to determine normality on my dataset, but I am unsure which one to adhere to, especially since my histograms, density plots, and QQ plots leave much to be desired in terms of ...
Kimber's user avatar
  • 53
0 votes
0 answers
30 views

Anova violates normality assumption for error data

I have a 2 x 2 repeated measures ANOVA (N = 51) with Error Rate data as the dependent measure. The error data violates the normality assumption, even when outliers are removed. I have looked at the ...
john connor's user avatar
0 votes
0 answers
66 views

Comparing non-normal data between three groups

I am analyzing a dataset, where I have 3 categories (independent variable), and one continuous value (dependent variable). I am studying if the continuous value is significantly different between the ...
user81371's user avatar
2 votes
2 answers
114 views

Distribution and variable analysis

I am doing a statistical test (program used is SPSS). On the basis of distribution and sample size, I have to chose the correct variable analysis. I also have to justify every decision. I have two ...
Chester's user avatar
  • 21
0 votes
1 answer
57 views

Importance of normality testing in clinical trials / AB tests

I’m curious to read about the importance of normality testing in AB tests and clinical trials. It seems that there is a lot of mixed (and strong) opinions about the necessity for normality testing, ...
giopico's user avatar
  • 67
0 votes
1 answer
412 views

Testing for normality of difference between pre-post scores

I'm currently trying to decide what test to run on SPSS for my data. I am comparing the effects of 3 different interventions on trauma scores. I have both pre and post-scores.I have created a ...
Megan's user avatar
  • 1
2 votes
1 answer
68 views

Alternatives to ANOVA to find differences between three groups?

So my data is looking at the incidence of emotions within therapy sessions. I am looking at three groups that I suspect have different pattern across several emotions Group 1 n=36 Group 2 n=12 Group 3 ...
user380249's user avatar
1 vote
0 answers
15 views

Looking for associations between nominal and non-parametric continuous data

I'm a first-year BSc Biology student working on my end-of-module stats project, so that's the expected level of my work. I need to find associations between hindlimb length and frog locomotor modes (e....
George's user avatar
  • 11
1 vote
1 answer
241 views

Which statistical test should I use if the assumptions of a 2-way ANOVA are not met?

My study design consists of two factors (one with 2 levels, the other with 6) and a continuous response variable. In order to analyze the influence of both factors on the explanatory variable I built ...
Insect_biologist's user avatar
3 votes
3 answers
146 views

Problem with a single outlier, non-normal data, and unequal sample distributions

I am wanting to compare two independent groups on a likert-like item. To explain, the dependent variable is structured so that a 1 = <1 units, 2 = 1-<2, 3 = 2-<3, all the way up to option 7 = ...
Amy's user avatar
  • 31
0 votes
0 answers
272 views

How can I perform a Tetrachoric and Polychoric Correlation on variables that aren't normally distributed?

From everything I have read, both tetrachoric and polychoric correlations assume normal distributions. However, the data I want to conduct these correlations with is not normally distributed. Does ...
SurpriseDog's user avatar
3 votes
2 answers
967 views

Does aligned rank transform ANOVA require normally distributed data?

Initially, I wanted to do a two-factorial (4x3) repeated measures ANOVA in order to analyse my data. To be more precise, I do have two factors with factor1 having 4 levels (A, B, C, D), factor2 having ...
Annika's user avatar
  • 31
0 votes
0 answers
175 views

Is there a non-parametric test to replace repeated-measures ANOVA in R?

I have a data set with 41 individuals, male and female, and 3 different measurements of a variable for each individual. The data is not normally distributed, nor does it have equal variances between ...
michellemoyah's user avatar
6 votes
2 answers
8k views

Can we ALWAYS assume normal distribution if n >30?

I'm in a debate with a coworker and I'm starting to wonder if I'm wrong but the internet is confusing me more. We have continuous data $[0, \infty)$ that is retrospectively selected on individuals. ...
Jacob Ian's user avatar
  • 185

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