Research Wiki · Sampling and representativeness

Sample size determination

Sample size determination links the study objective to the required precision, statistical power, design effect, expected variability, subgroup needs and practical constraints. There is no universal sample size that makes a study representative.

Direct definition

Sample size determination links the study objective to the required precision, statistical power, design effect, expected variability, subgroup needs and practical constraints. There is no universal sample size that makes a study representative.

When Sample size determination is used

Sampling designs, sample-size logic, weighting and representativeness concepts used to define what a study can and cannot claim. It is most useful when the decision owner can state what different findings would cause the organisation to do differently.

Business and research questions it can answer

Who is in the target population?

Translate the question into an observable measure, comparison or decision rule before collecting evidence.

Who had a chance to be selected?

Translate the question into an observable measure, comparison or decision rule before collecting evidence.

Which uncertainty comes from sampling and which from coverage or non-response?

Translate the question into an observable measure, comparison or decision rule before collecting evidence.

What would contradict the preferred interpretation?

Translate the question into an observable measure, comparison or decision rule before collecting evidence.

How the design should work

Start with the decision, target population and competing explanations. Choose the leanest design that can distinguish the alternatives, then specify recruitment, measurement, quality controls, analysis and reporting limits.

Frame the estimand or decision

Define the population, unit, outcome, alternatives, time horizon and consequence of error.

Specify the evidence

Choose sources, measures and comparisons that can distinguish the competing explanations.

Protect quality

Predefine recruitment, exclusions, missing-data rules, assumptions, validation and audit trail.

Translate the result

Report effect, uncertainty, limitations and the action that follows each plausible result.

Sample-size and data considerations

Specify the target estimand, expected variability, confidence or decision threshold, subgroup needs, design effect and likely non-response. Precision and power calculations should be documented, with sensitivity ranges where inputs are uncertain.

Analysis and interpretation

Build a trace from raw evidence to observation, interpretation, implication and recommendation. Triangulate conflicting sources and state the confidence and consequence attached to each conclusion.

Practical example

A national survey must report by region and customer type. Sample size determination would be specified before fieldwork so coverage, allocation, questionnaire burden, weighting and the precision of subgroup conclusions are visible to decision-makers.

Advantages

  • Creates a shared definition for sample size determination across teams.
  • Connects evidence to the decision: Who is in the target population?
  • Makes assumptions, uncertainty and next actions easier to challenge.

Limitations

  • The result is only as credible as the population, measurement and evidence quality.
  • Stated responses may not reproduce real behaviour in a different context.
  • A single study captures a bounded time, market and decision frame.

Common mistakes

  • Starting with a favourite methodology before defining the decision and competing explanations.
  • Using a convenient sample or metric while making claims about a broader population or behaviour.
  • Treating a single score as the diagnosis instead of tracing the drivers and counter-evidence.
  • Writing the recommendation after seeing the data without documenting the decision rule or uncertainty.

Practical checklist

Frequently asked questions

What is Sample size determination in simple terms?

Sample size determination links the study objective to the required precision, statistical power, design effect, expected variability, subgroup needs and practical constraints. There is no universal sample size that makes a study representative.

How much data is needed?

Specify the target estimand, expected variability, confidence or decision threshold, subgroup needs, design effect and likely non-response. Precision and power calculations should be documented, with sensitivity ranges where inputs are uncertain.

What is the biggest interpretation risk?

Starting with a favourite methodology before defining the decision and competing explanations.

Can Ninth Atlas apply this to a live study?

Yes. The engagement would begin with the business decision and evidence gap, then specify the method, sample, quality controls, analysis and decision output.

Related terms

Editorial and methodology note

This reference is written by Ninth Atlas as a decision-oriented explainer. It separates definition, design, analysis and limitations so a method is not mistaken for an answer. Final study specifications should be reviewed against the actual population, evidence, risk and regulatory context.

Sources and further reading

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