Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.30

Evaluate where bias, including sampling, response, or nonresponse bias, may occur in surveys, and whether results are representative of the population of interest.

COS Examples

Example: Selecting students eating lunch in the cafeteria to participate in a survey may not accurately represent the student body, as students who do not eat in the cafeteria may not be accounted for and may have different opinions, or students may not respond honestly to questions that may be embarrassing, such as how much time they spend on homework.

Unpacked Content

Knowledge

Students know:

  • Techniques for conducting surveys.
  • Techniques to identify bias

Skills

Students are able to:

  • Given the description of a survey,
    • Evaluate bias that may occur in the survey.
    • Determine whether a bias precludes results of the survey from being generalized to the population.

Understanding

Students understand that:

  • Bias is the intentional or unintentional favoring of one group or outcome over other potential groups or outcomes in the population.
  • A common cause of sampling bias lies in the design of the study or in the data collection procedure, both of which may favor or disfavor collecting data from certain classes or individuals or in certain conditions.
  • Response bias (also called survey bias) is the tendency of a person to answer questions on a survey untruthfully or misleadingly.
  • Nonresponse bias is the bias that results when respondents differ in meaningful ways from nonrespondents.

Vocabulary

  • Bias
  • Sampling
  • Response bias
  • Nonresponse bias
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