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估计p值：双比例z检验模拟

估计p值：双比例z检验模拟
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2015-09-27 00:14
概率统计几何作图
所属专题 Statistics Simulations Statistics Simulations
①本范例演示如何通过模拟方法估计双比例z检验的p值；②涉及核心数学概念包括概率统计、假设检验、双比例z检验；③作图要点：使用了Random, TableText, Sequence, Shuffle, Take, CountIf, DotPlot, If, Segment等GeoGebra命令和对象；④适合高中及以上学生或统计学初学者学习假设检验方法。

GeoGebra 命令及参数

  1. Random(10, 60, true) → bf
  2. Random(10, 40, true) → af
  3. Random(10, 50, true) → bs
  4. Random(10, 40, true) → as
  5. TableText({header, success, failure, bottom}, "c") → text1
  6. Sequence(1, a, 1, as + bs) → ss
  7. Sequence(0, a, 1, af + bf) → ff
  8. Shuffle(Join[{ss, ff}]) → list1
  9. Take(list1, 1, af + as) → list2
  10. Take(list1, af + as + 1, af + as + bf + bs) → list3
  11. CountIf(x > -1, data) → b
  12. DotPlot(data, true) → list4
  13. If(as / (as + af) - bs / (bs + bf) < 0, CountIf[x ≤ as / (as + af) - bs / (bs + bf), data], CountIf[x ≥ as / (as + af) - bs / (bs + bf), data]) → c
  14. Segment((as / (as + af) - bs / (bs + bf), 0), (as / (as + af) - bs / (bs + bf), 4)) → d