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Stratified, Systematic, Cluster, and Simple Random Sampling

Stratified, Systematic, Cluster, and Simple Random Sampling
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2019-05-30 21:15
Probability & Statistics
This example illustrates four common sampling methods: stratified sampling, systematic sampling, cluster sampling, and simple random sampling. Students can understand how to draw samples from a population for statistical analysis. Mainly using GeoGebra commands such as Flatten, Random, Element, RandomElement, Zip, and Sequence. Suitable for high school statistics courses.

GeoGebra Commands & Parameters

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