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Important sampling methods include simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Simple random sampling ensures every member of the population has an equal chance of selection, while stratified sampling divides the population into subgroups and samples from each to ensure representation. Systematic sampling involves selecting every nth member from a list, and cluster sampling involves dividing the population into clusters and randomly selecting entire clusters for study. Each method has its advantages and is chosen based on the research objectives and population characteristics.

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