I have two samples containing citation counts for some publications. Of those samples one is a subset of the another. That is, subset contains some exact citation counts appearing on the other sample. e.g.
Sample1 Sample2 (Subgroup) 50 50 24 24 12 - 5 5 4 4 43 43 2 - 2 - 1 - 1 -
So I want to decide if the numbers from the subset are good enough to represent group1? On this matter:
- I have intended to apply student t-test but i could not be sure how to apply it. The reason is that the samples are dependent so I could not apply unpaired t-test requiring both samples must come from independent populations. On the other hand, paired t-test also does not look suitable since sample sizes must be equal.
- In case of an outlier should I remove it? To me it is not logical since it is not normally an outlier but a publication cited quite a lot so it belongs to the same sample. How to deal with such cases? If I do not remove it, it causes the variance to be too big affecting statistical tests...Is it a good idea to replace it with median instead of mean since citation distributions generally tend to be highly skewed?
Giving the information and my trials how could I manage this issue?