AI Glossary / Statistics and probability / Beginner
Mail survey
Definition
A mail survey collects information through questionnaires sent to selected respondents by postal mail, usually for them to complete and return themselves. It is a data-collection mode, not a sampling method or a guarantee of representativeness. A well-designed mail survey combines an appropriate sampling frame, clear questions, a response process, and follow-up procedures. Its results depend on who can be reached, who responds, and how accurately the answers reflect the intended information.
What it means
Traditional mail surveys use paper questionnaires and postal returns. A mailed invitation that asks someone to answer online uses mail for contact but web collection for the response; a mixed-mode survey can offer both. Keeping these distinctions clear helps explain differences in participation and measurement.
Mail can reach people without requiring internet use and allows respondents to answer at a convenient time. However, postal contact requires usable addresses, and self-completion requires accessible wording and layout. Without an interviewer present, confusing instructions or complicated routing can lead to missing or inconsistent answers. Delivery and return also take time.
How it works
Define the target population and assemble or select from a suitable address frame. Choose respondents using the intended sampling design, recognizing that an address may identify a household or business rather than the exact person who should answer.
Prepare and test a concise questionnaire, covering letter, return method, and relevant accessibility or language options. Explain the survey's purpose and how responses will be used. Track outgoing mail, undeliverable addresses, returns, and reminders without misrepresenting the confidentiality arrangements.
Process returned forms, verify data capture, and distinguish unit nonresponse from unanswered individual questions. Analyze results using the sampling design and justified adjustments. Compare respondents with available frame information to investigate possible nonresponse differences. Weighting can help under assumptions, but it cannot automatically recover information about every unobserved difference.
Three practical examples
- A local service provider surveys a sample of households by post to include residents who do not regularly use online channels.
- A manufacturer sends a structured questionnaire to selected business customers whose postal addresses are known but whose digital contacts are incomplete.
- An AI adoption study offers paper questionnaires to sampled organizations so participation is not restricted to people comfortable completing an online form.
Think of it this way
Think of mailing invitations to a meeting where people contribute by writing rather than attending. The invitation list determines who gets a chance to participate, the wording affects what they understand, and the returned replies determine whose views you actually hear. Sending many envelopes does not ensure that the replies represent everyone invited.
Worked example
Consider an original teaching survey of 1,000 known eligible households, all successfully contacted for this simplified example. Of these, 400 return usable questionnaires, so the response proportion is 400/1,000 = 40%. Among respondents, 300 support a proposed service, giving an observed support proportion of 75%.
The 600 nonrespondents' views are unknown. If none supported the proposal, support across the entire invited group would be 300/1,000 = 30%. If all supported it, the proportion would be (300 + 600)/1,000 = 90%. These extreme bounds are not confidence limits; they illustrate how much is unidentified without assumptions or further information about nonrespondents.
For a less extreme scenario, suppose 240 of the 600 nonrespondents actually support the service. Overall support would then be (300 + 240)/1,000 = 54%, not the respondents' 75%. Merely mailing more questionnaires would not necessarily remove this kind of response difference. Real response-rate calculations must also handle eligibility, partial responses, and undeliverable mail according to a clearly stated convention; this example deliberately removes those complications.
Illustrative case study
Fictional case: Birch Community Services wants feedback on an AI-assisted booking system. An online-only questionnaire mainly reaches frequent digital users, so the team designs a postal component using a defined address sample and a tested paper form.
It records delivery outcomes and provides an accessible way to return answers. Analysts compare response patterns across available neighborhood information and explain the limits of any weighting adjustments. The final report distinguishes respondents' experiences from broader population claims. Adding paper collection improves the opportunity to participate, but the team does not assume that postal delivery alone eliminates selection or measurement errors.
Common misconceptions and mistakes
A mail survey is not automatically a random sample. Random selection from a poor address list can still miss important parts of the target population. A high response rate is helpful information, but it is not proof of absence of bias; a lower response rate does not quantify bias by itself either.
Do not call a survey anonymous when identifiers permit linking returns to individuals. Do not assume that answers collected on paper and online are directly interchangeable without checking wording and mode effects. Automated text recognition can introduce data-entry errors that require validation rather than being treated as perfect transcription.
Business use
Mail surveys can complement digital collection when postal coverage fits the population and the questionnaire is suitable for self-completion. Businesses should budget for printing, postage, reminders, handling returns, and quality checks, as well as questionnaire design.
For AI research, the collection mode can affect who is represented in the evidence. A survey about digital skills that relies only on digital participation may systematically miss relevant experiences. Conversely, a postal survey can miss mobile or poorly addressed populations. Match the mode and sampling frame to the research question, then report coverage and response limitations plainly.
People also ask
Is a mail survey the same as an email survey?
Traditionally it means postal collection; identify electronic contact separately.
Can mail and online responses be combined?
Yes, with a design that manages duplicate responses, comparable questions, and possible mode differences.
Does a large number of replies ensure representativeness?
No. Coverage, selection, and response patterns still matter.
Check your understanding
1. What is the simplified response proportion in the example?
Answer: 40%. 2.
Does 75% respondent support establish 75% support among all invited households?
Answer: No; nonrespondents may differ. 3.
Are the 30% and 90% bounds confidence limits?
Answer: No; they describe extreme assumptions about unobserved answers.
Related terms
- Coverage error
- Survey mode
- questionnaire
- sampling frame
- nonresponse bias
- response rate
- mixed-mode survey
- data capture
Learn next
Study questionnaire testing and probability sampling, then compare postal, telephone, and web collection. Practice separating sampling uncertainty from coverage, nonresponse, and measurement errors in a survey report.
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Sources
Statistics Canada, “Data collection methods.” https://www150.statcan.gc.ca/n1/edu/power-pouvoir/ch2/methods-methodes/5214773-eng.htm — primary guidance on self-completed questionnaires, address requirements, and mixed modes. Statistics Canada, “Questions to ask about surveys.” https://www.statcan.gc.ca/en/customized-products-services/custom-surveys/questions-to-ask — primary guidance on matching collection and questionnaire design to information needs. The worked scenario and fictional case are original.
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