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140 votes
8 answers
121k views

How to choose between t-test or non-parametric test e.g. Wilcoxon in small samples

Certain hypotheses can be tested using Student's t-test (maybe using Welch's correction for unequal variances in the two-sample case), or by a non-parametric test like the Wilcoxon paired signed rank ...
Silverfish's user avatar
  • 23.8k
63 votes
7 answers
54k views

Which permutation test implementation in R to use instead of t-tests (paired and non-paired)?

I have data from an experiment that I analyzed using t-tests. The dependent variable is interval scaled and the data are either unpaired (i.e., 2 groups) or paired (i.e., within-subjects). E.g. (...
Henrik's user avatar
  • 14.3k
7 votes
4 answers
9k views

Should I use t-test on highly skewed and discrete data?

I have samples from a highly skewed dataset about users' participation (e.g.: number of posts), that have different sizes (but not less than 200) and I want to compare their mean. For that, I'm using ...
Milena Araujo's user avatar
2 votes
1 answer
2k views

Which statistical analysis should I perform if the data sets are not normally distributed?

I am doing an experiment where there are two independent groups; one is the group of "infected" patients another is the group of "sepsis" patients. I am comparing "platelet monocyte aggregates(PMA)" ...
Saurabh Goswami's user avatar
22 votes
1 answer
43k views

Should I use t-test on highly skewed data ? Scientific proof, please?

I have samples from a highly skewed (looking like an exponential distribution) dataset about users' participation (e.g.: number of posts), that have different sizes (but not less than 200) and I want ...
Milena Araujo's user avatar
1 vote
1 answer
722 views

How to find the difference between two set of scores of a single participant?

What I am trying to do? I have a data set which consists of only one undergraduate student's all courses scores. Let's assume, he has completed about 70 courses where 40 courses are related to ...
Md Sabbir Ahmed's user avatar
7 votes
2 answers
12k views

Non-Parametric altervative to one sample t-test

I have a the following hypothesis: $H_0: \mu=4$, $H_1: \mu\neq 4$, which I wanted to test using a one sample t-test. However, my data is not normally distributed and a transformation was not found. ...
BlueSigma's user avatar
  • 486
5 votes
2 answers
178 views

Wilcoxon (WMWU) test sensitivity

Statistics courses often give the Wilcoxon-Mann-Whitney U test ("Wilcoxon" from now on) as an alternative to the two-sample t-test. However, the test is not quite the test of medians that would be so ...
Dave's user avatar
  • 65k
5 votes
2 answers
1k views

Comparing P value from t test vs. Mann-Whitney test

If you analyze the same data with a t test and the nonparametric Mann-Whitney test, which do you expect to have the lower P value?
Harvey Motulsky's user avatar
8 votes
3 answers
46k views

What is a minimum sample size for a paired t-test and what is a non-parametric equivalent if data is non-normal?

I have 4 sample pairs, let's say (x1, y1),...,(x4, y4). What is the minimum sample size for a paired t-test? Which assumption should I check for paired t-test? If my data is non-normal, what is an ...
love-stats's user avatar
  • 1,284
7 votes
3 answers
9k views

Non-parametric alternative to simple t-test

I have five numeric variables of two populations (each of them with 60 individuals) and for each of those five variables I want to know if there is difference in the means. I was trying to use a ...
Germán Ruelas's user avatar
6 votes
1 answer
3k views

What differentiates the wilcoxon test from t test regarding ordinal variables?

I'm wondering what the wilcoxon test differentiates from the t test so it can be used with ordinal variables. In other words why can't we use a t test for ordinal variables but can we use a wilcoxon ...
KingBoomie's user avatar
4 votes
2 answers
2k views

Student's t vs Mann-Whitney U

I want to see if there is any difference in the number of dangerous permissions requested by free vs paid apps in Android store. I have equal sample sizes of 1900. When I plot the data they are both ...
piggo's user avatar
  • 41
4 votes
1 answer
915 views

How to analyze random variables with non normal distribution

I'm wondering how random variables can be analyzed using parametric methods if the distribution is not normal. For example if a variable Y is normal distributed but I'm interested only on values Y2 ...
giordano's user avatar
  • 1,059
3 votes
2 answers
2k views

Mann-Whitney for non-normal distributions with n>20?

I have 12 groups of datasets (mostly non-Normal, quite right-skewed), and I would like to see if there is a significant difference within each pair. (But the data itself is not a paired dataset, as in ...
Daphne's user avatar
  • 33

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