10 papers analyzed

These studies suggest simple random sampling is a common, reliable, and cost-efficient method for selecting a sample from a population, ensuring equal chances of selection for all units.

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Simple Random Sampling (SRS) is a fundamental method in statistical sampling where each unit in a population has an equal probability of being selected. This method ensures that every possible combination of units has the same chance of being chosen, thereby providing an unbiased representation of the population.

**Equal Probability**: Each unit in the population has an equal chance of being selected. This is true whether the sampling is done with replacement (SRSWR) or without replacement (SRSWOR) .**Random Selection**: The units are selected randomly, ensuring that the sample is representative of the population. This randomness is crucial for the validity of statistical inferences made from the sample .**Unbiased Estimation**: The sample mean is an unbiased estimator of the population mean, meaning that the expected value of the sample mean equals the population mean. This property holds under various forms of simple random sampling, including SRSWR, SRSWOR, and fixed cost simple random sampling (SRSFC).**Homogeneity**: SRS is particularly useful when the population is homogeneous, as it ensures that the sample accurately reflects the population's characteristics.

**Survey Sampling**: SRS is widely used in survey sampling, such as election polling, where a subset of voters is randomly selected to estimate the proportion of voters supporting a candidate.**Data Collection**: It is a common method for collecting data in social sciences and other fields where a representative sample is needed to make inferences about the population .

**Simplicity**: The method is straightforward and easy to implement, making it a popular choice for researchers .**Flexibility**: SRSFC provides greater flexibility in large surveys, allowing for cost-efficient sampling.

Simple Random Sampling is a robust and widely used method in statistical sampling, ensuring that each unit in the population has an equal chance of being selected. Its simplicity, unbiased nature, and applicability to homogeneous populations make it a valuable tool for researchers across various fields.

- "The Nature of Simple Random Sampling"
- "Simple Random Sampling"
- "Survey Sampling"
- "Simple Random Sampling"
- "Simple Random Samples of Regional Populations"
- "Probability Bounds for Polynomial Functions in Random Variables"

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