Sampling is the process of selecting a subset of individuals, items, or observations from a larger population to estimate characteristics of the whole population. It is a fundamental aspect of statistical analysis, enabling efficient data collection and analysis.
- Efficiency: Collecting data from an entire population can be time-consuming and expensive.
- Feasibility: In some cases, it is impossible to study the whole population (e.g., testing every product).
- Accuracy: Well-designed samples provide accurate estimates of population characteristics.
Sampling methods are broadly classified into probability sampling and non-probability sampling.
In probability sampling, every member of the population has a known, non-zero chance of being selected. This method reduces bias and allows for generalization to the entire population.
- Description: Each individual has an equal chance of being selected.
- Method: Use random numbers or draw names from a hat.
- Example: Selecting 100 students randomly from a school.
- Description: The population is divided into strata (subgroups) based on shared characteristics, and a random sample is taken from each stratum.
- Example: Sampling students by grade level (e.g., 10th, 11th, 12th grades).
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Description: Every
$k$ -th individual is selected from a list, starting at a random point. - Example: Selecting every 10th person from a customer database.
- Description: The population is divided into clusters, and entire clusters are randomly selected for sampling.
- Example: Sampling all households in randomly selected neighborhoods.
- Description: Combines multiple probability sampling methods.
- Example: First selecting clusters, then randomly sampling individuals within those clusters.
In non-probability sampling, individuals are selected based on non-random criteria, making it less representative of the entire population.
- Description: Selecting individuals who are easiest to reach.
- Example: Surveying people in a shopping mall.
- Description: The researcher selects participants based on their expertise or knowledge.
- Example: Selecting experienced managers to evaluate a training program.
- Description: Participants recruit other participants, forming a chain.
- Example: Surveying members of a niche community.
- Description: Selecting individuals to meet predefined quotas for subgroups.
- Example: Ensuring equal numbers of men and women in a sample.
Feature | Probability Sampling | Non-Probability Sampling |
---|---|---|
Selection Process | Random | Non-random |
Representativeness | High | Lower |
Examples | Simple Random, Stratified, Cluster | Convenience, Snowball, Judgmental |
Use Case | Generalizable studies (e.g., population surveys) | Exploratory research (e.g., pilot studies) |
- Purpose of Study: Use probability sampling for generalizable studies and non-probability for exploratory or qualitative research.
- Population Characteristics: Consider factors like diversity and size of the population.
- Resources: Time, budget, and manpower may limit the sampling method.
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Market Research:
- Stratified sampling to understand customer preferences by age groups.
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Healthcare Studies:
- Random sampling to test a new drug's effectiveness.
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Social Research:
- Snowball sampling to study hard-to-reach populations like refugees.
Choosing the right sampling technique is crucial for obtaining reliable and valid results. Probability sampling ensures generalizability, while non-probability sampling is often more practical for specific scenarios.
Next Steps: Confidence Intervals