估计总体比例所需样本量 by David Gurney

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2015-11-04 02:46

概率统计最值优化

①本范例演示如何计算估计总体比例所需的样本量，以在给定误差范围内获得可靠结果；②涉及核心数学概念包括样本量计算、误差范围、概率统计；③构造摘要中用到了 Sequence, Element, Mod, If 等 GeoGebra 命令，以及 ErrSq, Seed, OpSq 等对象；④适合高中及以上学生，用于概率统计教学和实践活动。

GeoGebra 命令及参数

Sequence(Mod[5 + (29 * k), 61] + 1, k, 1, 60) → OpSq, {35, 3, 32, 61, 29, 58, 26, 55, 23, 52, 20, 49, 17, 46, 14, 43, 11, 40, 8, 37, 5, 34, 2, 31, 60, 28, 57, 25, 54, 22, 51, 19, 48, 16, 45, 13, 42, 10, 39, 7, 36, 4, 33, 1, 30, 59, 27, 56, 24, 53, 21, 50, 18, 47, 15, 44, 12, 41, 9, 38}
Element(OpSq, Seed) → Op1
Mod(Op2, 2) → PorP
If(PorP ≟ 0, "percentage", "proportion") → PorPTx
Element(ErrSq, Mod[Op2, 5] + 1) → Err
Element(CnfSq, Mod[Op3, 4] + 1) → Cnf
Element(MltSq, Mod[Op1, 6] + 1) → Mlt
Element(EstSq, Mod[Op2, 6] + 1) → Est
If(ErrPrc ≟ 1, " book", " books") → BkSP
If(ErrPrc ≟ 1, " point", " points") → PT
Mod(Op1, 2) → PE
If(PE ≟ 1, SzPE, SzNE) → Size
If(PorP ≟ 0, EstPrc, Est) → PorPNm
If(PorP ≟ 0, "%", "") → PrSg
Element(PSSq, ChNm2) → PS0