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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
695 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
31 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
67 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
115 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
429 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
70 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
149 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
275 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
975 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
1 vote
0 answers
106 views

Bounds for hypothesis testing with non-normal distributions

After doing randomized experiment with two variants (AB tests), I want to do hypothesis testing without the normal distribution assumption to compare their means. Since the samples sizes are different,...
RandomVariable's user avatar
1 vote
0 answers
287 views

Testing for normality with small sample sizes in order to use t-test [duplicate]

I run into a conundrum when determining whether a small sample is appropriate for a t-test. I know that if I meet the assumptions, a t-test produces approximately correct inference with any sample ...
Alex's user avatar
  • 497
1 vote
2 answers
3k views

Multiple comparisons for not normal and heterogeneous data

I have a data set that has 3 groups and a single variable. Under normal circumstances, a one-way ANOVA would be used for comparisons between my three groups. HOWEVER I ran a Shapiro-Wilk test for ...
Ana Hernandez's user avatar
0 votes
0 answers
50 views

Parametric v Non-Parametric?

I've recently began doing some data analysis for a sample of around 5800 respondents who are categorised into four different groups in relation to different levels of psychological connection in a ...
James's user avatar
  • 1
1 vote
0 answers
144 views

Coverage of confidence interval of non-normal distribution

I know that when a sample is non-normally distributed, I need to use non-parametric alternatives, as when the assumptions of parametric methods are violated, its coverage will decrease. Let's say ...
Eric Kim's user avatar
  • 1,041
0 votes
1 answer
584 views

What is exactly the non-normality requisite for nonparametric tests? [duplicate]

As the title says, what is exactly what is being tested before deciding to use a non-parametric alternative test (as Kruskal-Wallis for ANOVA, or Mann-Whitney's U for student's t)? Most sources are ...
Kuku's user avatar
  • 1,472
0 votes
1 answer
213 views

Normality Tests in samples with outliers

I'm making a code in R that contains some parametric and non-parametric tests, like ANOVA and Kruskal-Wallis. To know if I should use one or another I check the "normality" of the test sample. My ...
Bernardo Amaral's user avatar
3 votes
3 answers
2k views

Tests of normality - qq and Shapiro-Wilk

I am new to the world of stats ... My data had a log normal distribution, so transformed by log to get it nearer normal distribution. This is real-world data. From here I want to establish if my data ...
Cairan Van Rooyen's user avatar
6 votes
2 answers
3k views

Wilcoxon Test - non normality, non equal variances, sample size not the same

I know there are already a lot of posts out there, but I couldn't find this exact combination in any of them. Comparing two samples (Prices associated with men and with women), but I have neither the ...
Heike's user avatar
  • 71
2 votes
1 answer
382 views

Meta analysis Cliff's delta

Cliff's delta is an effect size typically recommended whenever the normality and homogeneity assumption do not hold---and thus, Cohen's d cannot be used. However, I cannot see any reference ...
Adrian Santos's user avatar
2 votes
1 answer
5k views

Paired t-test of a non-normal data with sample size 66

I have a paired data with n=66. I understand that normality condition of differences data should be met to conduct a paired t-test. However, from the histogram, it doesn't appear so normal. The p-...
Mohamad Sahil's user avatar
3 votes
1 answer
5k views

Two-Way Non-Parametric Test for Non-normal Data?

I have an unbalanced design with two factors, gender and site. I'm trying to test for differences in a size variable. Levene's test reveals that the data has equal variances. However, log transformed ...
krypt's user avatar
  • 45
3 votes
2 answers
2k views

Theil-Sen estimator assumptions

I found by accident the nonparametric Theil-Sen Estimator as a replacement for standard OLS linear Regression. How well does it perform with autocorrelated data, non-normal residuals and ...
Neon67's user avatar
  • 69
1 vote
1 answer
226 views

Should I use non-parametric tests?

I am a teacher working on a simple research with the aim of studying whether the set of lesson designs I created can improve student performance. I have two groups with 15 students each. I divided ...
Teacher Researcher's user avatar
0 votes
1 answer
359 views

Do I need to check for normality in a one-way test (in R)?

http://www.sthda.com/english/wiki/one-way-anova-test-in-r Here it says when the LeveneTest has small p-value we can use the alternative one ...
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