Conditional Probability: Medical Tests and Disease Risk
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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
Textfield(Poptotal) → inputBox1Textfield(TruePos) → inputBox2Textfield(FalsePos) → inputBox4Textfield(Prevalence) → inputBox6Textfield(FalseNeg) → inputBox3_1Textfield(FalsePos) → inputBox4_1Textfield(Poptotal) → inputBox1_1Textfield(FalsePos) → inputBox4_2Textfield(Prevalence) → inputBox6_1Textfield(FalsePos) → inputBox4_3Circle(A_1, B_1, C_1) → c_1Textfield(Poptotal_1) → inputBox1_2Textfield(TruePos_1) → inputBox2_1Textfield(FalsePos_1) → inputBox4_4Textfield(Prevalence_1) → inputBox6_2Textfield(FalseNeg_1) → inputBox3_2Circle(D_1, E_1, F_1) → d_1Segment(G_1, H_1) → b_1Textfield(FalsePos_1) → inputBox4_5Textfield(Poptotal_1) → inputBox1_3Textfield(FalsePos_1) → inputBox4_6Textfield(Prevalence_1) → inputBox6_3Textfield(FalsePos_1) → inputBox4_7Textfield(Poptotal_2) → inputBox1_4Textfield(TruePos_2) → inputBox2_2Textfield(FalsePos_2) → inputBox4_8Textfield(Prevalence_2) → inputBox6_4Textfield(FalsePos_2) → inputBox4_9Textfield(Poptotal_2) → inputBox1_5Textfield(FalsePos_2) → inputBox4_{10}Textfield(Prevalence_2) → inputBox6_5Textfield(FalsePos_2) → inputBox4_{11}