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Tables and Non Parametric Tests

Tables and Non Parametric Tests. Lecture 5. Compare Means Menu. Compare Means Output. ”Service package”. ”Important package”. But What if Data are NOT Normal?. Non-normal Data. Binomial data. Really non-normal data. Log-normal data. Transform Data.

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Tables and Non Parametric Tests

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  1. Tables and Non Parametric Tests Lecture 5

  2. Compare Means Menu

  3. Compare Means Output ”Service package” ”Important package”

  4. But What if Data are NOT Normal?

  5. Non-normal Data Binomial data Really non-normal data Log-normal data Transform Data Compare the means of the transformed (normal) data

  6. Binomial Data Are the proportions of Turks in Aalborg and Århus the same?

  7. Are the proportions significantly different? 7.0% 10.5% Compare 3.5% (= 10.5 – 7.0%) withsuitable SE.

  8. Another Approach Observed Expected In total 77 turks in a 900 sample, i.e. 8.6% We expect 34 turks in Århus (8.6% of 400)

  9. Same proportion in Aalborg and Århus? Observed Expected Observed and expected should be close

  10. How to do it in SPSS …or data could be organized in 900 rows

  11. Cross-Tabs

  12. Tricks

  13. Output Expected values Proportions Test Statistic P-value

  14. Binomial One-Sample Two-Sample K-Sample Is proportion equal to 10% Proportions in Aalborg and Århus are equal Proportions in Aalborg, Randers, Vester Hjermislev and Århus are equal • Calculate proportion and 95% CI • Is 10% in the CI? Cross-Tabs handles two or more cities (categories) …or use SPSS as I will show later

  15. Non-Normal Data Observations Ranks

  16. Statistics on Ranks Mean Ranks should be close if the two distributions are located similarly 8.6 12.4

  17. How to do it in SPSS

  18. Output Mann-Whitney Test ”Service package” ”Interesting package” ”Important package”

  19. One-Sample (Symmetry or Location) Normal distributed ? • Kiama Blowhole Data • Highly skew distribution • Average approx 40 sec • Rarely above 100 sec Median equal to 40 sec? Only above 100 sec in 1% of the eruptions?

  20. Normal distributed?

  21. Output But QQ-plots are better!! Data are Not Normal Not Uniform

  22. Location of median Median equal to 40 sec? Only above 100 sec in 1% of the eruptions?

  23. Median equal to 40 sec?

  24. Output NPar Tests Median equal to 40 sec? NOPE!

  25. Only above 100 sec in 1% of the eruptions?

  26. K samples test

  27. Output ”Service package” Kruskal-Wallis Test ”Important package”

  28. Overview (normal samples) One sample Two samples (unpaired) Two samples (paired) K samples

  29. Overview (binomial samples) One sample Two samples (paired) Two samples (unpaired) K samples

  30. Overview (non normal samples) One sample Two samples (paired) Two samples (unpaired) K samples

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