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comparing patient and control group results of a survey

I have data from a survey given to a patient group and control group. Both groups completed the same exact survey (likert scale). One group has an n of only 5 or 6, the other n=about 15. What test should I conduct to determine if there is a significant difference between the two groups answers on the survey? Would this be an independent samples t test? Do I need to do anything to address the difference in sample size? To make matters worse, there is some data missing about 3 participants have 1 or two answers missing on the survey.

Is this data even worth analyzing/not enough power?

thanks in advance!

Bac
  • 11
  • 2