Definition:Simple Random Sample
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Definition
Let $P$ be a population.
Let $S \subsetneq P$ be a sample.
Then $S$ is a simple random sample (of size $n$) if and only if it fulfils the following criteria:
- The process used to select the individuals of $S$ from $P$ was random;
- Every individual in $P$ had an equal chance of being selected to be in $S$;
- Every $n$-combination of $P$ had an equal chance of being constructed as a potential $S$.
Also known as
A simple random sample is also called a random sample if there is no danger of ambiguity.
Sources
- 2011: Charles Henry Brase and Corrinne Pellillo Brase: Understandable Statistics (10th ed.) $\S 1.2$