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PlayOwl

Mathematics · Grade 10

Model Assumptions and Limitations

Learners study what can go wrong. They check the conditions behind intervals and tests and see what happens when they fail, diagnose regression models with residual plots and influential points, recognize the dangers of multiple comparisons and p-hacking, untangle Simpson's paradox, and practice communicating uncertainty and the limits of generalization honestly.

  • 4 lessons
  • About 140 minutes
  • Assumptions and limitations check: 10 questions
  • Ways to answer: choose an answer, highlight a text, type a number, sort into groups, true or false and write a short answer
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What learners will discover

  • Check the conditions for inference, explain the consequences when they fail, and judge robustness.
  • Diagnose regression models with residual plots and identify outliers and influential points.
  • Recognize multiple-comparison problems, p-hacking and Simpson's paradox.
  • Communicate uncertainty and the limits of generalization honestly.

Lessons

  1. Conditions and robustness 4 steps3 practiceabout 34 min
  2. Diagnosing regression models 5 steps2 practiceabout 34 min
  3. Multiple comparisons and Simpson's paradox 5 steps3 practiceabout 38 min
  4. Communicating uncertainty honestly 4 steps2 practiceabout 34 min
  5. Assumptions and limitations check 10 questions at the end

Keep exploring

More 10th grade math

Guide for grown-ups