Sampling_fraction

Sampling fraction

Sampling fraction

Ratio of sample size to population size


In sampling theory, the sampling fraction is the ratio of sample size to population size or, in the context of stratified sampling, the ratio of the sample size to the size of the stratum.[1] The formula for the sampling fraction is

where n is the sample size and N is the population size. A sampling fraction value close to 1 will occur if the sample size is relatively close to the population size. When sampling from a finite population without replacement, this may cause dependence between individual samples. To correct for this dependence when calculating the sample variance, a finite population correction (or finite population multiplier) of (N-n)/(N-1) may be used. If the sampling fraction is small, less than 0.05, then the sample variance is not appreciably affected by dependence, and the finite population correction may be ignored. [2][3]


References

  1. Dodge, Yadolah (2003). The Oxford Dictionary of Statistical Terms. Oxford: Oxford University Press. ISBN 0-19-920613-9.
  2. Bain, Lee J.; Engelhardt, Max (1992). Introduction to probability and mathematical statistics (2nd ed.). Boston: PWS-KENT Pub. ISBN 0534929303. OCLC 24142279.
  3. Scheaffer, Richard L.; Mendenhall, William; Ott, Lyman (2006). Elementary survey sampling (6th ed.). Southbank, Vic.: Thomson Brooks/Cole. ISBN 0495018627. OCLC 58425200.

Share this article:

This article uses material from the Wikipedia article Sampling_fraction, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.