Simple random sampling without replacement

Definition

Simple random sampling without replacement is a method of selecting a sample where each member of the population has an equal chance of being chosen, and once selected, cannot be chosen again. This ensures that each sample is unique and no repetitions occur.

5 Must Know Facts For Your Next Test

1. Each member of the population has an equal probability of being selected.
2. Once a member is selected, it is not returned to the population for possible reselection.
3. This method helps eliminate bias in sample selection.
4. It is commonly used in statistical surveys and experiments to ensure randomness.
5. The total number of possible samples can be calculated using combinations: $\binom{N}{n}$, where $N$ is the population size and $n$ is the sample size.

Review Questions

Related terms

Population:

The entire set of individuals or objects from which a sample may be drawn.

Sampling Frame:

A list or database from which a sample is actually selected.

$\binom{N}{n}$: $$\binom{N}{n}$$ represents the number of ways to choose $n$ items from $N$ items without regard to order (combinations).