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Sample

đź§ŞSample

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Also known as: Sample set, Subset

A subset selected from a larger population to infer characteristics about the whole.

DESCRIPTION

A sample is a smaller collection of observations drawn from a defined population to estimate population parameters and test hypotheses. Good sampling design reduces bias and improves statistical efficiency. Researchers choose probability or non-probability sampling methods based on objectives and constraints. Sample size is determined by desired confidence, power, and variability. Proper sampling underpins reliable analytics, A/B testing, surveys, and model validation.

ALTERNATIVE DEFINITIONS

Penn State STAT 500

A sample is a subset of the population.

Concise, foundational definition emphasizing the population–sample relationship.

Source

Encyclopaedia Britannica

In statistics, a sample is a subset of a population used to represent the population as a whole.

Highlights representativeness as the purpose of sampling.

Source

NIST/SEMATECH e-Handbook of Statistical Methods

A sample is a subset of a population.

Provides the definition within a broader handbook on statistical practice.

Source

Sampling Frame Random Sampling Stratified Sampling Sampling Distribution Sampling Error Central Limit Theorem Estimator Confidence Interval

COMPETING TERMS

Census Population

RELATIONS

KNOWLEDGE AREAS

Mathematics Data Science

TARGET AUDIENCE

Data Scientist Data Analyst BI Specialist

EXTERNAL SOURCES

TOP QUESTIONS

Why is a Sample important in statistics?

Samples enable inference about a population without measuring everyone. They reduce cost and time while providing reliable estimates when designed properly.

Category: Relevancy

How large should a Sample be?

Sample size depends on desired confidence, statistical power, variability, and effect size. Power analysis and pilot data inform the optimal number of observations.

Category: Requirements

What is a common mistake when choosing a Sample?

Convenience sampling that ignores representativeness often introduces bias. A rigorous sampling frame and randomization mitigate this.

Category: Mistakes

How does a Sample relate to a Population?

A sample is a subset drawn from the population to estimate population parameters. Proper sampling ensures the sample reflects key population characteristics.

Category: Example

What is the risk of using a biased Sample?

Biased samples yield misleading estimates and decisions. The resulting models or conclusions may not generalize to the population.

Category: Risks

What types of sampling create a representative Sample?

Probability methods like simple random, stratified, and cluster sampling improve representativeness and enable valid inference.

Category: Best practices

How is a Sample used in A/B testing?

Random samples are assigned to variants to estimate treatment effects. Balanced, randomized sampling supports unbiased comparisons.

Category: Application

What is the difference between a Sample and a Census?

A census measures every unit in the population. A sample measures only some units and infers to the whole.

Category: Misunderstanding

Where can I learn more about good sampling practice?

Consult NIST’s e-Handbook, OpenIntro Statistics, and university courses like Penn State STAT for practical guidance and examples.

Category: Resources