Distinguish between Simple Random Sampling with Replacement (SRSWR) and Random Sampling without Replacement (SRSWOR).
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In sampling without replacement, the two sample values aren't independent. ... In particular, if we have a SRS (simple random sample) without replacement, from a population with variance , then the covariance of two of the different sample values is , where N is the population size.
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Difference between simple random sampling with replacement and simple random sampling without replacement
In sampling without replacement, the two sample values aren't independent. ... In particular, if we have a SRS (simple random sample) without replacement, from a population with variance , then the covariance of two of the different sample values is , where N is the population size.
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