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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
1 vote
0 answers
286 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
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
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
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
6 votes
2 answers
370 views

What is an example of data where the permutation test succeeds but a normal t-test fails?

In literature, I normally see authors use a two sample permutation test on normal data to show that it works as well as the two sample t-test. However, the real power for permutation tests should be ...
user123276's user avatar
  • 2,107
1 vote
1 answer
138 views

Total scores are normally distributed, but subtest scores are not; what to do?

I have two sets of data for males and females: $n=33$. I'd like to compare test results for both groups. I want to do a $t$ test, and I know my data should be normally distributed if I want to use a ...
erdal's user avatar
  • 231
0 votes
2 answers
2k views

Absolute values -- parametric or non-parametric test?

I am looking at the absolute difference in values between pairs of numbers. I am then comparing these absolute values between two groups (e.g. Males and Females). Since these are absolute values I ...
Lexi's user avatar
  • 1
0 votes
1 answer
2k views

What statistical test to use for my questionnaire

I have to do some statistical tests on a questionnaire and don't know which tests i need to do. The questionnaire have been marked as right or wrong and I have about 60 peoples results. The tests i ...
user24174's user avatar
1 vote
1 answer
262 views

All my observations are identical. Use a non-parametric test?

I was doing test for normality on variables and came across one that had identical values for each observation. I can't do a normality test. I plotted the kernel density and it looks normal, however ...
user27008's user avatar
  • 157