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Tables and Non Parametric Tests Lecture 5 Compare Means Menu.

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Presentation on theme: "Tables and Non Parametric Tests Lecture 5 Compare Means Menu."— Presentation transcript:

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2 Tables and Non Parametric Tests Lecture 5

3 Compare Means Menu

4 Compare Means Output ”Service package” ”Important package”

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

7 Binomial Data Are the proportions of Turks in Aalborg and Århus the same? Non- Turks Turks Aalborg46535 Århus35842

8 Are the proportions significantly different? Non- Turks Turks Aalborg46535 Århus % 10.5% Compare 3.5% (= 10.5 – 7.0%) with suitable SE. Compare 3.5% (= 10.5 – 7.0%) with suitable SE.

9 Another Approach Non- Turks Turks Aalborg46535 Århus35842 Non- Turks Turks Aalborg45743 Århus36634 Observed Expected In total 77 turks in a 900 sample, i.e. 8.6% In total 77 turks in a 900 sample, i.e. 8.6% We expect 34 turks in Århus (8.6% of 400) We expect 34 turks in Århus (8.6% of 400)

10 Same proportion in Aalborg and Århus? Non- Turks Turks Aalborg46535 Århus35842 Non- Turks Turks Aalborg45743 Århus36634 Observed Expected Observed and expected should be close

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

12 Cross-Tabs

13 Tricks

14 Output Expected values Proportions P-value Test Statistic

15 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 Cross-Tabs handles two or more cities (categories) 1.Calculate proportion and 95% CI 2.Is 10% in the CI? 1.Calculate proportion and 95% CI 2.Is 10% in the CI? …or use SPSS as I will show later

16 Non-Normal Data Observations Ranks

17 Statistics on Ranks Rank Mean Ranks should be close if the two distributions are located similarly

18 How to do it in SPSS

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20 Output Mann-Whitney Test ”Service package” ”Interesting package” ”Important package”

21 One-Sample (Symmetry or Location) 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? Normal distributed ?

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

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

25 Median equal to 40 sec?

26 Output NPar Tests NOPE! Median equal to 40 sec?

27 Only above 100 sec in 1% of the eruptions?

28 K samples test

29 Output Kruskal-Wallis Test ”Important package” ”Service package”

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

31 Overview (binomial samples) One sample Two samples (paired) K samples Two samples (unpaired)

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


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