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Why do we use finite population correction?
The finite population correction (fpc) factor is used to adjust a variance estimate for an estimated mean or total, so that this variance only applies to the portion of the population that is not in the sample. Therefore, there is an error associated with making this leap, and that is the sampling error.
How do you determine finite population correction?
FPC = ((N-n)/(N-1))1/2
- N = population size,
- n = sample size.
Is population finite or infinite?
A population is called finite if it is possible to count its individuals. Thus N is the size of the population. Infinite Population. Sometimes it is not possible to count the units contained in the population.
Whats the difference between finite and infinite?
Finite sets are sets that have a fixed number of elements and are countable and can be written in roster form. An infinite set is a set that is not finite and the elements of the set are endless or uncountable and cannot be written in roster form. This is the basic difference between finite and infinite sets.
When to use the finite population correction factor?
The Finite Population Correction Factor, sometimes just called the FPC factor, is used when the sample size is large relative to the population size. For most situations, the population is so large, typical sample sizes are far too small to worry about the need for the FPC.
When does the correction factor have to be applied?
There are cases when the population is known, and therefore the correction factor must be applied. The issue arises for both the sampling distribution of the means and the sampling distribution of proportions.
Can a standard error be computed from an infinite population?
Most formulas used to compute standard errors are based on the idea that (1) samples are selected with replacement or that (2) samples are selected from an infinite population. In actual research, neither of these ideas hold true.