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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
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
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
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
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 ...
user avatar
3 votes
1 answer
943 views

Wald-Wolfowitz Runs Test for Normality Assumptions Testing

Some guys told me that it's appropriate to use Wald-Wolfowitz Runs Test as a normality test (like Shapiro-Wilk's or Kolmogorov-Smirnov...). Do you think this is good way to test normality assumptions?
aL3xa's user avatar
  • 2,211