I am comparing authoritative survey data (large amount of observations) with data gained from a social network (very small amount of observations). Particularly, I want to compare population per district as surveyed with population per district as found in a location based social network.
type variable value 1 1 vgi 1064 2 2 vgi 873 3 3 vgi 8 4 4 vgi 246 9 1 pop 2248360 10 2 pop 3544721 11 3 pop 70934 12 4 pop 2090647
type is the district (1-4),
variable=vgi denotes users found in the social network while
variable=pop is the actual population size per distcrict.
Even though the scales are completely different in magnitude, is there a way to qualitatively (e.g. with a plot) and quantitatively compare both distributions?
With qualitative I mean a plot where one can easily see which district is likely under- or overrepresented on social media and with quantitative I mean something like a Chi-Square-Test in order to see whether the distributions significantly differ from each other. For example, one can see from the data that district
2 is underrepresented on
vgi, or one could also say that district
1 is overrepresented on
vgi -- but that is the problem - what is considered over- or underrepresented?!
I don't have experience with such data, thus I am asking. I was able to plot both distributions with R, but the different scales make them hard to compare - I should probably transform one of both types but I don't know how.