Researchers typically sample with replacement,although the development of statistical theory was based on the use of sampling without replacement.

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Sampling with replacement is not typically used in most research contexts; instead, sampling without replacement is more common because it better reflects the finite nature of most populations under study. Statistical theory, including formulas for variances and standard errors, often accounts for both sampling methods, but practical research, especially involving finite populations, frequently relies on sampling without replacement to ensure all individuals or elements have a chance to be selected without being chosen multiple times.

Researchers Typically Sample with Replacement,although the Development of Statistical Theory