Conditional Probability: Medical Tests and Disease Risk

Conditional Probability: Medical Tests and Disease Risk
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2014-12-30 06:02
This example demonstrates the relationship between medical tests and disease risk through conditional probability. Key mathematical concepts include conditional probability and probability & statistics. Using objects like circles and segments, and input boxes for variables, it dynamically illustrates true positives, false positives, true negatives, and false negatives. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Textfield(Poptotal) → inputBox1
  2. Textfield(TruePos) → inputBox2
  3. Textfield(FalsePos) → inputBox4
  4. Textfield(Prevalence) → inputBox6
  5. Textfield(FalseNeg) → inputBox3_1
  6. Textfield(FalsePos) → inputBox4_1
  7. Textfield(Poptotal) → inputBox1_1
  8. Textfield(FalsePos) → inputBox4_2
  9. Textfield(Prevalence) → inputBox6_1
  10. Textfield(FalsePos) → inputBox4_3
  11. Circle(A_1, B_1, C_1) → c_1
  12. Textfield(Poptotal_1) → inputBox1_2
  13. Textfield(TruePos_1) → inputBox2_1
  14. Textfield(FalsePos_1) → inputBox4_4
  15. Textfield(Prevalence_1) → inputBox6_2
  16. Textfield(FalseNeg_1) → inputBox3_2
  17. Circle(D_1, E_1, F_1) → d_1
  18. Segment(G_1, H_1) → b_1
  19. Textfield(FalsePos_1) → inputBox4_5
  20. Textfield(Poptotal_1) → inputBox1_3
  21. Textfield(FalsePos_1) → inputBox4_6
  22. Textfield(Prevalence_1) → inputBox6_3
  23. Textfield(FalsePos_1) → inputBox4_7
  24. Textfield(Poptotal_2) → inputBox1_4
  25. Textfield(TruePos_2) → inputBox2_2
  26. Textfield(FalsePos_2) → inputBox4_8
  27. Textfield(Prevalence_2) → inputBox6_4
  28. Textfield(FalsePos_2) → inputBox4_9
  29. Textfield(Poptotal_2) → inputBox1_5
  30. Textfield(FalsePos_2) → inputBox4_{10}
  31. Textfield(Prevalence_2) → inputBox6_5
  32. Textfield(FalsePos_2) → inputBox4_{11}