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Condorcet's Jury Theorem Visualization

Condorcet's Jury Theorem Visualization
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2019-05-20 14:18
Probability & StatisticsGeometric Construction
This example demonstrates the working principle of Condorcet's Jury Theorem through an interactive applet. It involves core math concepts like Probability & Statistics, Mode, Arithmetic Operations, Squares, and Rational Numbers. The construction utilizes GeoGebra commands and objects such as Point, Sequence, Take, BarChart, OrthogonalLine, and Sum. Suitable for high school and above learners to understand decision theory models in probability statistics.

GeoGebra Commands & Parameters

  1. Point(yAxis) → P
  2. Sequence(BinomialDist[n, p, i, false], i, 0, n) → p_{i}
  3. Sequence(j / n, j, 0, n) → r
  4. Take(r, 1, m) → r_{e}
  5. Take(r, m + 1, n + 1) → r_{c}
  6. Take(p_{i}, m + 1, n + 1) → p_{c}
  7. Sequence(j, j, 0, n) → i
  8. Take(p_{i}, 1, m) → p_{e}
  9. BarChart(r_{e}, p_{e}) → B_{pe}
  10. BarChart(r_{c}, p_{c}) → B_{pc}
  11. OrthogonalLine(P, yAxis) → f
  12. OrthogonalLine(Point[{0.5, 0}], xAxis) → g
  13. Sum(p_{c}) → S_{pc}
  14. Sum(p_{e}) → S_{pe}
  15. Point({n, S_{pc}}) → M_{c}
  16. Point({n, S_{pe}}) → M_{e}