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Dependent Difference Test of Two Means

Dependent Difference Test of Two Means
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2018-11-01 03:45
Coordinate GeometryProbability & Statistics
This example demonstrates the statistical visualization of the dependent difference test for two means. It involves core mathematical concepts like mean, standard deviation, statistical characteristics, quadratic equations, differences, and slopes. The construction utilizes GeoGebra commands such as Sequence, Element, Length, mean, stdev, If, along with objects like Dt1A to Dt6B. It is suitable for high school students and beginners in statistics.

GeoGebra Commands & Parameters

  1. Sequence(Mod[5 + (13 * k), 29] + 20, k, 1, 24) → OpSq
  2. Element(OpSq, seed) → OpNm1
  3. Element(CnfSq, Op2) → Conf
  4. Element(DtASq, Op1) → DtA
  5. Element(DtBSq, Op1) → DtB
  6. Length(DtA) → Size
  7. Sequence(Element[DtA, k] - Element[DtB, k], k, 1, Size) → DffSq
  8. mean(DffSq) → Xbr
  9. stdev(DffSq) → StDv
  10. If(PVal < α, 1, 0) → Cmpr
  11. If(Cmpr ≟ 1, "Reject", "Keep") → Dcsn
  12. If(Cmpr ≟ 1, "is", "is not") → ConStmt
  13. If(PVal < α, " < ", " ≥ ") → IneqSqn
  14. If(TstSt < 0, "1E99", TstSt) → UBTx
  15. If(PVal < 0.0005, 0.0005, PVal) → SmPV
  16. If(PVal < 0.0005, "<", "=") → PVIE
  17. Element(PSSq, Op1) → PS0
  18. Element(LbASq, Op1) → LbA
  19. Element(LbBSq, Op1) → LbB
  20. Sequence(Text[Element[DtA, k], (0.5, DtTp - (0.52 * k))], k, 1, Size) → DtATx
  21. Sequence(Text[Element[DtB, k], (1.9, DtTp - (0.52 * k))], k, 1, Size) → DtBTx
  22. Sequence(Text[Element[DffSq, k], (3.6, DtTp - (0.52 * k))], k, 1, Size) → DffSqTx

AI Drawing Prompt Reference

Draw a statistical test graph for the difference of two sample means, including data points for sample A and sample B, difference points, mean Xbr and standard deviation StDv, and the comparison result of P-value PVal and significance level α. Sample A and sample B data points are located on the left and right sides of the coordinate system, respectively, difference points are in the middle, mean Xbr and standard deviation StDv are represented by line segments, and the comparison result of P-value PVal and α is annotated with text.
The prompt above was compiled from the original drawing commands and is for reference only.