Sampling design is a mathematical function that gives you the probability of any given sample being drawn.
Since sampling is the foundation of nearly every research project, the study of sampling design is a crucial part of statistics, and is often a one or two semester course. It involves not only learning how to derive the probability functions which describe a given sampling method but also understanding how to design a best-fit sampling method for a real life situation.
Examples of Sampling Design
Sampling design can be very simple or very complex. In the simplest, one stage sample design where there is no explicit stratification and a member of the population is chosen at random, each unit has the probability
of being in the sample, where:
- n is the total number of units to be sampled,
- N is number of units in the total population.
Other types of design include:
- Systematic sample: all members of a population are listed in order and samples are chosen at defined intervals
- Stratified sample: the population is first divided into strata and then samples are randomly selected from the strata (for example, divide a population between men and women, then randomly select a given number of men and a given number of women)
- Cluster strata: a population is divided into clusters and first clusters are randomly selected, then random members of the selected clusters are sampled. (for instance, first randomly select a number of classes, then, from the class lists of those classes, randomly sample a number of students)
Each of these have their own sampling design function. The sampling method chosen will depend on the situation and priorities of the researcher. Sometimes, non-probability sampling methods will be chosen; for example, convenience sampling, where the sample is simply those easily reached and observed. Unlike systematic, stratified, or cluster sampling, these types of sampling cannot be easily described by a function.
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Raymo, Jim. Sample Design. Sociology 357 Class Notes.
Retrieved from https://www.ssc.wisc.edu/~jraymo/links/soc357/class8_F09.pdf on September 3, 2018.
Stephanie Glen. "Sampling Design" From StatisticsHowTo.com: Elementary Statistics for the rest of us! https://www.statisticshowto.com/sampling-design/
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