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Random sampling refers to a variety of selection techniques in which sample members are selected by chance, but with a known probability of selection. Most social science, business, and agricultural surveys rely on random sampling techniques for the selection of survey participants or sample units, where the sample units may be persons, establishments, land points, or other units for analysis. Random sampling is a critical element to the overall survey research design.

This entry first addresses some terminological considerations. Second, it discusses two main components of random sampling: randomness and known probabilities of selection. Third, it briefly describes specific types of random samples, including simple random sampling (with and without replacement), systematic sampling, and stratification, with mention of other complex designs. The final section touches on inference, which is the reason that random sampling is preferred in scientific surveys.

Terminological Considerations

Some authors, such as William G. Cochran, use the term random sampling to refer specifically to simple random sampling. Other texts use the term random sampling to describe the broader class of probability sampling. For this reason, authors such as Leslie Kish generally avoid the term random sampling. In this entry, random sampling is used in the latter context, referring to the broader class of probability sampling.

Critical Elements

The two critical elements of random sampling are randomness and known probabilities of selection.

Randomness

The first critical element in random sampling is the element of randomness. Ideally, all members in the survey's target population have a non-zero chance of selection.

In describing what random sampling is, it is helpful to highlight what it is not. The sample is not pre-determined. Nor is a random sample selected by expert judgment. Random sampling does not imply that the sampling is haphazard. Furthermore, random sampling is not convenience sampling, in which the interviewers take respondents that are easiest to obtain.

The element of randomness is applied to the process scientifically. That is, there is a method, usually mechanical, to the selection process that is rigorously followed. The precise method may rely on random number generators or tables of random numbers. By following the scientific process, the probabilities of selection are known and preserved.

Random number generators and tables of random numbers are not truly random, of course, but the process needs to be random enough. This is especially important in litigious contexts. Bruce D. McCuUough and Wendy Rotz have tested the random number generators available in various data tools and statistical packages.

Known Probabilities Of Selection

The probabilities of selection are important for the theory that enables researchers to estimate sampling error. Because a sample is a subset of the target population and not a census (complete enumeration), estimates derived from sample responses will rarely match the target population values exactly. The variable difference between the sample estimate and the population value is sampling error. (Nonsampling errors, such as inaccurate frames of the target population and imprecise measures of the questionnaire items, affect both surveys and censuses. Nonsampling errors are not covered in this entry.)

Having a randomly selected sample with known probabilities of selection enables the researcher to estimate the sampling error. That is, the researcher can use the sample to make inferences for the target population and to estimate the precision of the sample-based estimates.

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