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In sampling theory, 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. If the sampling fraction is less than 5% or 0.05, then the finite population multiplier might be ignored.[clarification needed]
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A sampling fraction value close to one may 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]
| This is a user sandbox of Vs2357. You can use it for testing or practicing edits. This is not the sandbox where you should draft your assigned article for a dashboard.wikiedu.org course. To find the right sandbox for your assignment, visit your Dashboard course page and follow the Sandbox Draft link for your assigned article in the My Articles section. |
- ^ Dodge, Yadolah (2003). The Oxford Dictionary of Statistical Terms. Oxford: Oxford University Press. ISBN 0-19-920613-9.
- ^ 1939-, Bain, Lee J., (1992). Introduction to probability and mathematical statistics. Engelhardt, Max. (2nd ed ed.). Boston: PWS-KENT Pub. ISBN 0534929303. OCLC 24142279.
{{cite book}}:|edition=has extra text (help);|last=has numeric name (help)CS1 maint: extra punctuation (link) CS1 maint: multiple names: authors list (link) - ^ L., Scheaffer, Richard (2006). Elementary survey sampling. Mendenhall, William., Ott, Lyman. (6th ed ed.). Southbank, Vic.: Thomson Brooks/Cole. ISBN 0534418058. OCLC 58425200.
{{cite book}}:|edition=has extra text (help)CS1 maint: multiple names: authors list (link)