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Let's say you were asked to participate in an experiment, enjoyed it, and told your friends to contact the researcher to volunteer for the study. This would be an example of non-independent sampling. We assume that friends share similar values and by recruiting your friends to be in the study, the sample might represent you and your friends but not the whole population of interest. The "equal chance" and "independent" components of random sampling are what makes us confident that the sample has a reasonable chance of representing the population.
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