Sampling design

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In the theory of finite population sampling, a sampling design specifies for every possible sample its probability of being drawn.

Mathematical formulation[edit]

Mathematically, a sampling design is denoted by the function P(S) which gives the probability of drawing a sample S.

An example of a sampling design[edit]

During Bernoulli sampling, P(S) is given by

 P(S) = q^{N_\text{sample}(S)} \times (1-q)^{(N_\text{pop} - N_\text{sample}(S))}

where for each element q is the probability of being included in the sample and N_\text{sample}(S) is the total number of elements in the sample S and N_\text{pop} is the total number of elements in the population (before sampling commenced).

See also[edit]

Further reading[edit]

  • Sarndal, Swenson, and Wretman (1992), Model Assisted Survey Sampling, Springer-Verlag, ISBN 0-387-40620-4