I have several populations (of people, actually) which vary in size (from 5 to 6000). I would like to visualize the ratio of women vs. men in each of them so that they can be compared. I will get, for instance
- case 1: 20% of women, size of the population: 6000
- case 2: 20% of women, size of the population: 5
- case 3: ...
Both percentages in the first cases are the same but a change of one person in each of the populations obviously changes percentages in a vastly different proportion.
Should I take that into account when presenting the data? I am working on a whole population, not samples, so I would tend to say no. I also have a gut feeling that the differences in the population size should still be accounted in some way.
What I am trying to achieve at the end is the ability to state "all cases are similar" or "case 15 is significantly different" - again with the constraint of wildly varying population sizes.