I have two samples and one of them has a non-zero incidence rate but the other sample has incidence rate of zero. What statistical method can I use to test if the two samples are statistically different? THANKS!
I believe the CI version of what you want can be found at the link below. Sample size could be an issue as noted in the link. The fact that one incidence rate is 0 should not be a problem. The Full two sample case is treated in Sect 14.3 of Rosner, Fundamentals of Biostatistics, 6th ed. Thompson(Brooks/Cole). Best wishes.
Thank you All! After reading the suggested literature, I think I will got for the chi square test. I re-did my other sample comparisons (the ones that are non-zero) using the chi-square test and I got the same p values when compared with the z-test. My sample with zero incidence is of similar size as the non-zero samples so I think it will be safe to use the chi square for it. Thanks again!