积极 AI Logo 积极 AI

P值与临界值比较

P值与临界值比较
几何画板及绘图内容加载中，请稍等……
2014-03-28 02:16
函数函数图像
①本范例演示假设检验中临界值法与P值法的对比过程；②涉及核心数学概念包括假设检验、P值、临界值、正态分布；③作图要点：运用了Sequence, Append, Element, Mean, Integral, Line, Vector, If, IntegralBetween, Text等GeoGebra命令与对象构建正态分布曲线、样本均值、临界值与P值；④适合高中及以上数学、统计学学习者理解假设检验方法。

GeoGebra 命令及参数

  1. Sequence(k, k, 80, 99) → CL1
  2. Append(CL1, 99.9) → CL2
  3. Element(CL2, cs) → Confidence
  4. Sequence(RandomNormal[μ + Type - 2 + seed, σ], k, 1, size) → Sample
  5. Mean(Sample) → xbar
  6. Integral(BellCurve, TstSt, 10) → PVhi
  7. Integral(BellCurve, -10, TstSt) → PVlo
  8. Line((-5, 0), (5, 0)) → XAx2
  9. Vector(TST2, TSH2) → TSV1
  10. If(Type ≟ 2, (-InverseNormal[0, 1, α / 2]), (-InverseNormal[0, 1, α])) → CVhi
  11. Vector(TST1, TSH1) → TSV2
  12. If(Type ≟ 2, InverseNormal[0, 1, α / 2], InverseNormal[0, 1, α]) → CVlo
  13. Vector(CVT2, CVH2) → CVVhi
  14. Integral(exp((-x^(2))) / ((4 * 3.141592653589793)), TstSt, 10) → Mhix
  15. Integral((x * e^(((-x^(2))) / 2) / sqrt((2 * 3.141592653589793))), TstSt, 10) → Mhiy
  16. Vector(CVT1, CVH1) → CVVlo
  17. Integral(exp((-x^(2))) / ((4 * 3.141592653589793)), -10, TstSt) → Mlox
  18. Integral((x * e^(((-x^(2))) / 2) / sqrt((2 * 3.141592653589793))), -10, TstSt) → Mloy
  19. Vector(A, CMlo) → PVVlo
  20. Vector(B, CMhi) → PVVhi
  21. Element(TypTx, Type) → type
  22. Integral(exp((-x^(2))) / ((4 * 3.141592653589793)), CVhi, 10) → Mhix2
  23. Integral((x * e^(((-x^(2))) / 2) / sqrt((2 * 3.141592653589793))), CVhi, 10) → Mhiy2
  24. Vector(C, CMhi2) → AlphaRV
  25. Integral(exp((-x^(2))) / ((4 * 3.141592653589793)), -10, CVlo) → Mlox2
  26. Integral((x * e^(((-x^(2))) / 2) / sqrt((2 * 3.141592653589793))), -10, CVlo) → Mloy2
  27. Vector(D, CMlo2) → AlphaRCM
  28. Integral(BellCurve, -5, (-abs(TstSt))) → TTLf
  29. Integral(BellCurve, abs(TstSt), 5) → TTRt
  30. Integral(exp((-x^(2))) / ((4 * 3.141592653589793)), -10, (-abs(TstSt))) → Mlox3
  31. Integral((x * e^(((-x^(2))) / 2) / sqrt((2 * 3.141592653589793))), -10, (-abs(TstSt))) → Mloy3
  32. Integral(BellCurve, -10, (-abs(TstSt))) → MTTL
  33. Integral(exp((-x^(2))) / ((4 * 3.141592653589793)), abs(TstSt), 10) → Mhix3
  34. Integral((x * e^(((-x^(2))) / 2) / sqrt((2 * 3.141592653589793))), abs(TstSt), 10) → Mhiy3
  35. Vector(E, CMlo3) → TTLV
  36. Vector(E, CMhi3) → v
  37. Vector(F, CMlo4) → AHLV
  38. Vector(G, CMhi4) → AHHV
  39. Vector(OTSLP, OTSP) → u
  40. Sequence(Segment[(k, (-0.01)), (k, 0)], k, -3, 4) → XTcSq2
  41. Sequence(Text[k, (k - 0.05, (-0.045))], k, -3, 4) → XLbTxSq2
  42. Line((-5, 0.8), (5, 0.8)) → XAx1
  43. Sequence(Segment[(k, 0.79), (k, 0.8)], k, -3, 4) → XTcSq1
  44. Sequence(Text[k, (k - 0.05, 0.755)], k, -3, 4) → XLbTxSq1
  45. IntegralBetween(BellCurve2, 0.8, CVhi, 4.5) → AlFlRt
  46. IntegralBetween(BellCurve2, 0.8, -5, CVlo) → AlFlLf
  47. IntegralBetween(BellCurve2, 0.8, -5, CVlo) → AlHfLf
  48. IntegralBetween(BellCurve2, 0.8, CVhi, 4.5) → AlHfRt
  49. Text("Test Statistic", (TstSt - 0.5, 0.71)) → TSLab2