Exercises

Sampling Design and Survey Bias Quiz

Explore how statisticians select representative samples and recognize threats to survey accuracy. This quiz covers simple random, stratified, cluster, systematic, multistage, and probability-proportional-to-size sampling. You will also examine undercoverage, nonresponse, response bias, survey weights, design effects, and finite population corrections through practical scenarios and visual interpretations.

Answer the questions below and check the explanation for each answer.

  • 13 Questions
  • Difficulty: Medium
  • Topic: Statistics

0/13 answered

  1. 1

    A researcher assigns every employee a number and uses a random number generator to select 20 employees. Which sampling design is being used?

    Question 1
  2. 2

    A university divides students by year level and randomly samples students from every year. Which design does this describe?

  3. 3

    In the diagram, several neighborhoods are randomly selected and every household within those neighborhoods is surveyed. Which design is shown?

    Question 3
  4. 4

    A systematic sample from a numbered list selects units 8, 23, 38, 53, and so on. What is the sampling interval?

    Question 4
  5. 5

    Why can systematic sampling be risky when the sampling frame has a repeating pattern?

  6. 6

    Researchers randomly select counties, then schools within those counties, and finally students within those schools. What is this design?

  7. 7

    A survey about internet use draws its sample only from a directory of households with fixed broadband service. What is the primary problem?

    Question 7
  8. 8

    A selected group is less likely to answer a survey, and its opinions differ systematically from those of respondents. Which error is most directly threatened?

  9. 9

    A questionnaire asks, “How much do you support the responsible policy that will protect local jobs?” What problem does this wording introduce?

  10. 10

    A population is sampled at different rates across strata. Which weight is generally assigned to each sampled unit before further adjustments?

  11. 11

    When clusters vary greatly in population, what does probability-proportional-to-size sampling do at the cluster-selection stage?

    Question 11
  12. 12

    A complex survey estimate has a design effect of 1.8 relative to a simple random sample. What does this mean?

  13. 13

    A simple random sample without replacement includes 600 of the 1,000 members of a population. Which adjustment should reduce the estimated standard error?

    Question 13

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