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Step Through Dependent Difference Test

Step Through Dependent Difference Test
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2013-11-21 01:37
FunctionSequenceProbability & Statistics
In collections Statistics Step Through Applets
This example demonstrates the steps involved in performing the dependent difference test (matched-pairs design) in statistics. It covers core concepts like mean, sample standard deviation, and significance testing. Constructed using GeoGebra commands like Element, Length, Sequence, Mean, SampleSD, If, and involves objects such as Data13A, Data13B, Mean, StdDev. Suitable for high school students and beginners in statistics learning the dependent difference test method.

GeoGebra Commands & Parameters

  1. Element(DtSqA, DataSet) → DataA
  2. Element(DtSqB, DataSet) → DataB
  3. Length(DataA) → Size
  4. Element(ConfSeq, signif) → Confidence
  5. Element(LblALst, DataSet) → LblA
  6. Element(LblBLst, DataSet) → LblB
  7. Sequence(Element[DataA, k] - Element[DataB, k], k, 1, Size) → Diff
  8. Mean(Diff) → Xbar
  9. SampleSD(Diff) → StdDev
  10. If(Pvalue < α, 1, 0) → Cmpr
  11. If(Cmpr ≟ 1, "reject", "keep") → Dcsn
  12. If(Cmpr ≟ 1, "is", "is not") → ConStmt
  13. Element(StmtSeq, DataSet) → Stmt
  14. If(Pvalue < α, " < ", " ≥ ") → IneqSqn
  15. Sequence(Text[Element[DataA, k], (0.8, 6.5 - 0.6 * k)], k, 1, Size) → LstDtA
  16. Sequence(Text[Element[DataB, k], (2.1, 6.5 - 0.6 * k)], k, 1, Size) → LstDtB
  17. Sequence(Text[Element[Diff, k], (3.8, 6.5 - 0.6 * k)], k, 1, Size) → LstDiff