Sampling with replacement

Definition

Sampling with replacement is a sampling method where each selected individual or item is returned to the population before the next draw, allowing it to be chosen more than once. This technique ensures that each selection is independent of the others.

5 Must Know Facts For Your Next Test

1. Each sample in sampling with replacement has an equal probability of being selected.
2. This method maintains the original population size throughout the sampling process.
3. Sampling with replacement allows for the possibility of duplicate selections in your sample.
4. It is often used in theoretical studies and simulations due to its mathematical simplicity.
5. The variance of estimators can be higher when using sampling with replacement compared to sampling without replacement.

Review Questions

• What does it mean for a sampling method to use 'replacement'?
• How does sampling with replacement affect the independence of each draw?
• In what scenarios might you prefer to use sampling with replacement?

Related terms

Sampling without Replacement: A method where each selected individual or item is not returned to the population, reducing the population size with each draw.

Simple Random Sample: A sample drawn from a population in such a way that every possible sample has an equal chance of being selected.

Population: The entire group from which a sample might be drawn for statistical analysis.