What type of sampling allows individuals to be selected more than once?

Prepare for ASU's STP226 Elements of Statistics Exam 1. Enhance your statistical skills with multiple choice questions, detailed explanations, and practice materials. Master statistical concepts effectively!

The correct choice is simple random sampling with replacement, as this method explicitly allows for the possibility that the same individual can be chosen multiple times during the sampling process. This means that after an individual is selected, they are returned to the population from which the sample is drawn, so they remain eligible for selection in subsequent draws.

In contrast, simple random sampling without replacement does not permit an individual to be selected more than once. Once an individual has been chosen, they are excluded from any further selections, which ensures that every selection is unique.

Simple random sampling refers to a method of selecting individuals from a larger population in which each member has an equal chance of being chosen. However, without the specification of "with replacement" or "without replacement," it does not inherently imply that individuals can be selected more than once.

Convenience sampling involves selecting individuals who are easiest to reach rather than using a random method, and this approach does not follow the principle of randomness that characterizes the sampling methods mentioned earlier. Therefore, it does not ensure that individuals can be chosen multiple times systematically.

All of this underscores why the ability to select individuals more than once is a defining feature of simple random sampling with replacement.

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