Sampling and sampling distributions
Sampling and sampling distributions In many cases, we would like to learn something about a big population, without actually inspecting every unit in that population. In that case, we would like to draw a sample that permits us to draw conclusions about a population of interest. We may, for example, draw a sample from the population of Dutch men of 18 years and older to learn something about the joint distribution of height and weight in this population. Because we cannot draw conclusions about the population from a sample without error, it is important to know how large these errors may be, and how often incorrect conclusions may occur. An objective assessment of these errors is only possible for a probability sample. For a probability sample, the probability of inclusion in the sample is known and positive for each unit in the population. Drawing a probability sample of size n from a population consisting of N units may be a quite complex random experiment. The ex...