The statistical distinction between sampling with replacement and sampling without replacement is important only when the sampling frame is not large compared to the sample size.

Question

Quizplus · Accepted Answer

When the sampling frame is large, the chances of selecting the same unit twice (in sampling with replacement) become very small, so the difference between sampling with and without replacement becomes insignificant. However, when the sampling frame is not large enough compared to the sample size, sampling with replacement can lead to biased estimates.

The Statistical Distinction Between Sampling with Replacement and Sampling Without