Is there a statistical definition of "representative sampling?" That is, is there a way to show that a sampling strategy will yield (within some tolerance) a sample that is "representative" of the population? For example, given a sampling strategy with replacement, clearly, if I always choose the same member/person in my population, then this is *not* a representative sample (I always get the same person!) What sort of sampling schemes *are* "representative" (if this is even a meaningful concept, statistically), and how can one show this?
References or thoughts? Thanks in advance for your help.