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Write a short note on Random sampling.

Random sampling is a fundamental statistical technique used to select a subset of individuals or elements from a larger population in such a way that every member of the population has an equal chance of being chosen. This method is widely used in research and surveys to ensure that the sample is representative of the entire population, allowing for unbiased and generalizable results.

Key Characteristics of Random Sampling:

  1. Equal Probability: Each member of the population has an equal likelihood of being included in the sample, reducing the risk of selection bias.
  2. Representativeness: By ensuring every individual has the same chance of selection, random sampling aims to produce a sample that accurately reflects the characteristics of the overall population, enhancing the validity of the results.
  3. Simplicity and Objectivity: Random sampling is straightforward to implement and relies on objective criteria, such as using random numbers or computer algorithms, making the selection process free from personal bias.

Types of Random Sampling:

  • Simple Random Sampling: Each member of the population is assigned a unique number, and a random selection is made using random number generators or drawing lots.
  • Stratified Random Sampling: The population is divided into subgroups (strata) based on specific characteristics (e.g., age, gender), and random samples are taken from each subgroup to ensure representation.
  • Systematic Random Sampling: A random starting point is chosen, and members are selected at regular intervals (e.g., every 10th person) from an ordered list.

Advantages:

  • Unbiased Estimates: Produces statistically unbiased estimates, as all population members have an equal chance of being chosen.
  • Ease of Analysis: Results from random samples can be analyzed using standard statistical methods, making it easier to draw valid conclusions.

Limitations:

  • Requires a Complete Population List: A complete list of the population is needed, which may not always be available or practical.
  • Cost and Time: Random sampling can be time-consuming and expensive, particularly for large populations.

Overall, random sampling is a powerful tool in research and data analysis, ensuring reliable and accurate representation of the target population, which is critical for making sound inferences and decisions.

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