I have a bacterial population in three different hosts (e.g. human, chicken and pigeon). in human i have 60 strain, chicken I have 20 and in pigeon i have 35. Now I would like to know if this is statistically correct to compare among these 3 hosts, for instance the diversity of the bacteria. I would expect that the size of the bacteria in each host would affect the conclusion that one population is more or less diverse. Am I right ?
Are there any statistical test to run to tell if the difference in population size would or not affect any comparison among the hosts ?