I am trying to get a pilot study for an alternative treatment related to covid up and running. I had planned on doing a 15 person control group and 15 person treatment group, but due to having trouble finding participants, I am considering just doing a 20 person treatment group without a control. I could also do a 10 person treatment group and 10 person control. I'm considering dropping the control group because I have had several people say they are not interested in participating in the study because they don't want to by chance be in the control group. Because its such a small pilot study, does it really matter if I don't have a control group? How many people in a control group does it take for treatment effects to become statistically significant? I'm sure it's more complicated due to multiple factors but if anyone could give me a general answer, that would be so helpful. thank you in advance!!!