Explain the definition and role of each of the following components of probability sampling: element, population, study population, random selection, sampling unit, statistic, and parameter.
Finally, explain advantages of probability sampling over nonprobability sampling.
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Element refers to the subject, event or area under study. According to mathematicians, an element is an algebra of a sample space; therefore, any subject area that is not a subset and is not an element of algebra has no probability. An element in probability is necessary in order to establish accuracy. Upon choosing an appropriate element, it is easier to make relevant probabilities. This is possible because it will be simpler to determine patterns and detect any anomaly in the computation of probability (Hall and Joglar, 201