分层、系统、集群与简单随机抽样

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2019-05-30 21:15

概率统计

本范例演示了四种常见的抽样方法：分层抽样、系统抽样、集群抽样和简单随机抽样。通过这些方法，学生可以理解如何从总体中抽取样本以进行统计分析。主要涉及的 GeoGebra 命令包括 Flatten、Random、Element、RandomElement、Zip 和 Sequence。适合高中统计学课程使用。

GeoGebra 命令及参数

Flatten(Sequence[Sequence[(i, j), i, 0, 22, 5.475], j, 9.5, -11, -6.55]) → peopleCenters
Random(1, 4) → samplingTechnique
LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
Element(allTheOptions, samplingTechnique) → optionsForChosenTechnique
RandomElement(optionsForChosenTechnique) → chosenSample
Zip(Circle[Element[peopleCenters, A], 2.5], A, chosenSample) → circles
LaTeX(UnicodeToLetter[10003]) → cmark
Sequence(Segment[(i, 14), (i, -15)], i, 2.75, 20, 5.475) → stratifiedLines
LaTeX(UnicodeToLetter[10007]) → xmark
LaTeX("\text{The population is divided\\into groups and a member is\\chosen from each group. This\\is an example of Stratified\\Sampling.}") → feedbackStratifiedSampling
LaTeX("\text{Starting with the first selected\\member, every \(4\)th member\\has been chosen. This is an\\example of Systematic\\Sampling.}") → feedbackSystematicSampling
LaTeX("\text{The population is divided into\\groups and an entire group is\\chosen. This is an example of\\Cluster Sampling.}") → feedbackClusterSampling
LaTeX("\text{Members have been chosen\\randomly from the population.\\This is an example of Simple\\Random Sampling.}") → feedbackSimpleRandomSampling
LaTeX("\text{Source: Faces - Sudowoodo/iStock/Getty Images}") → copyright
Zip(Text[A, B + (-1.8, -1.5)], A, 1…20, B, peopleCenters) → peopleNumbers
Sequence(Segment[(-3, j), (25, j)], j, -6.8, 6.2, 6.5) → clusterLines