Definition:Simple Random Sample

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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:

  • 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.