Finite Population Correction Calculator
Calculate the finite population correction (FPC) factor to adjust standard errors when sampling from finite populations.
Input Parameters
Quick Examples:
Finite Population Correction Factor
0.895323
Original SE
2.5000
Corrected SE
2.2383
SE Reduction
10.47%
Sampling Fraction
20.00%
FPC correction is recommended (sampling fraction > 5%)
Additional Metrics:
Design Effect:
1.2475
Effective Sample Size:
83.5
What is Finite Population Correction?
The finite population correction (FPC) factor adjusts standard errors when sampling without replacement from a finite population. As you sample more of the population, there is less variability in your estimates. The FPC reduces the standard error to account for this. It is typically applied when the sample size exceeds 5% of the population.
Formula
FPC = sqrt((N - n) / (N - 1))
Corrected SE = Original SE × FPC