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.
In the theory of finite population sampling, a sampling design specifies for every possible sample its probability of being drawn. ==Mathematical formulation== Mathematically, a sampling design is denoted by the function P(S) which gives the probability of drawing a sample S. 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). ==References==
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