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If something is size dependent then some important aspect of that thing is influenced strongly by its size. If something is size independent, then its size does not influence any important aspect.
Yes from the dorland's pocket medical dictonary 25th addition page
Dependency ratio is used to establish the number of persons who are not in the workplace. It is age dependent and when calculated it will show how many persons within an age are employed compared to the same demographics with persons not employed.
According to Google, a sample size is a size of product that is cheap enough to give out for free without losing to much money. The purpose of a free-sample is to give people a free taste of your product to entice them to come back and buy more.
A probability sample is one in which each member of the population has the same probability of being included. An alternative and equivalent definition is that it is a sample such that the probability of selecting that particular sample is the same for all samples of that size which could be drawn from the population.