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How does nonresponse affect what a survey sample can represent?

Quick answer

Nonresponse means some people selected for a survey do not provide answers. If respondents differ from nonrespondents in ways relevant to the survey, the answers collected may not represent the selected group or the wider population. A low response rate signals that many selected people are missing, but it does not by itself show whether their views differ, or how much that could affect the result. Report who was selected, who responded, and what remains unknown.

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The question, the details, the next step.

Question

I invited 100 people to answer a survey about a local hobby club. Thirty replied. What does that tell me about who my results represent?

Geez

It tells you that your answers came from 30 of the 100 people you selected; the other 70 did not provide answers. In this hypothetical example, 30 out of 100 is a 30% response rate. Keep those groups distinct: the 100 selected people are not the same as the 30 respondents.

Your results describe the answers you received. Whether they also represent the selected group depends in part on how respondents’ views compare with the nonrespondents’ views. Nonresponse can make collected answers less representative, for example if people with especially strong positive or negative opinions are more likely to answer. [S1]

Follow-up question

Can I use that 30% rate to decide whether the survey is biased, or correct the results?

Geez

Not from the response rate alone. A low rate tells you that many selected people are missing, but it does not tell you whether those people would have answered more positively, more negatively, or much like the respondents. So it cannot establish the direction or size of possible nonresponse bias. [S1]

For example, suppose the 30 respondents mostly say they enjoy the club. That answer pattern alone cannot show whether the 70 nonrespondents enjoy it less, enjoy it just as much, or enjoy it more. Avoid presenting an adjustment as a known correction unless you have relevant information about respondents and nonrespondents; the response count by itself does not provide that information.

Follow-up question

What should I examine before I describe the result to club members?

Geez

Start with a transparent accounting, then compare only information you actually have. For the hypothetical survey, your notes could say:

“Of 100 people selected for the hobby-club survey, 30 responded and 70 did not. The responses show what those 30 people reported. We do not know from the response count alone whether the 70 nonrespondents would have answered differently, so the results may not represent everyone selected.”

If you have appropriate, relevant information for both groups, you can describe what it shows and where it is incomplete. Do not assume that a difference in one known characteristic proves how nonrespondents would answer the survey question. The response rate supports caution, but it does not establish a method for correcting this particular survey or predict its bias.

Follow-up question

Can you give me a reusable checklist and a short reporting template?

Geez

Use this checklist before sharing the findings:

  1. Record how many people were selected and how many responded.
  2. Keep the respondent group distinct from the people originally selected.
  3. Describe the results as answers from respondents, not automatically as answers from everyone selected.
  4. Note whether you have relevant information about nonrespondents, and state its limits.
  5. Explain that the response rate alone does not show the direction or size of possible nonresponse bias.

Copy and adapt this template: “We selected [number] people for a survey about [topic]. [number] responded. The results describe the responses received. We [do/do not] have relevant information comparing respondents with nonrespondents: [brief description or ‘none’]. The response count alone cannot show whether nonrespondents would have answered differently, so representativeness remains uncertain.” Keep the bracketed parts as placeholders until you can fill them with your actual survey information.

A practical checklist

  • Write down the number selected and the number who responded.

  • Label findings as respondent answers unless representativeness is supported.

  • State what, if anything, is known about nonrespondents.

  • Do not infer bias direction or size from the response rate alone.

  • Use the reporting template and replace every placeholder with verified survey details.

A few more useful answers

Does a low response rate prove that a survey result is biased?

No. It means many selected people did not respond, but the rate alone does not show whether their answers would differ or in which direction. [S1]

Can a high response rate prove that respondents represent everyone selected?

A response rate alone does not establish how respondents compare with nonrespondents. Report the rate, but do not treat it by itself as proof of representativeness.

What is the safest wording when I do not know how nonrespondents would answer?

Say that the results describe the responses received and that it is unknown whether nonrespondents would have answered differently. This makes the limitation clear without guessing.

Sources

References used for this guide.

  1. [S1] OpenStax Statistics: Data, Sampling, and Variation in Data and Sampling
    openstax.org · Checked

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