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What is the difference between a random sample and a stratified sample?

A random sample and a stratified sample are both methods used in statistics and research to gather data from a population for analysis. However, they differ in their sampling techniques and the way they ensure representation of different subgroups within the population. Here are the key differences:
  1. Random Sample:
  • A random sample involves selecting individuals from the population in a completely random manner.
  • Each member of the population has an equal chance of being selected for the sample.
  • It is typically conducted using random number generators or random selection methods, such as drawing names from a hat or using a computer program to randomly select individuals.
  • Random sampling helps to reduce bias and ensures that the sample is representative of the entire population when properly executed.
  1. Stratified Sample:
  • A stratified sample involves dividing the population into subgroups or strata based on certain characteristics (e.g., age, gender, income level, geographic location, etc.).
  • After dividing the population into strata, a random sample is then taken from each stratum.
  • The size of the random sample from each stratum can be proportional to the size of the stratum in the population or can be a fixed number from each stratum.
  • Stratified sampling is useful when there are important subgroups in the population that need to be represented accurately in the sample.
  • It ensures that each subgroup is adequately represented, which can improve the precision of estimates and allow for subgroup-specific analysis.
In summary, the main difference between a random sample and a stratified sample is that random sampling involves selecting individuals without considering any subgroups, while stratified sampling involves dividing the population into subgroups and then taking random samples from each subgroup to ensure proportional representation. The choice between these methods depends on the research objectives and the need to accurately represent specific subgroups within the population.

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