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Mann-Whitney U Test and Chi Squared..  More tests of significance- Yipee.
The Mann Whitney U Test.  ,[object Object],[object Object],[object Object]
Fewer than 9 readings.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example.  ,[object Object],26.2 30.6 36.4 30.0 33.9 30.9 34.9 32.9 34.2 28.3 34.5 33.2 28.4 32.0 36.1 31.1 35.6 31.0 36.6 26.6 31.2 30.4 32.6 Docklands West London
Stage 1 and 2. 1 26.2 30.6 36.4 30.0 30.9 32.9 28.3 33.2 32.0 31.1 31.0 26.6 30.4 Docklands ∑ R2= 114 ∑  R1 =162 7 22 5 16 33.9 8 19 34.9 14 17 34.2 3 18 34.5 15 4 28.4 12 21 36.1 10 20 35.6 9 23 36.6 2 11 31.2 6 13 32.6 Rank (R2) Rank (R1) West London
Stage 3 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Stage 4 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Stage 5 ,[object Object],[object Object],[object Object],[object Object]
Samples of more than 20 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Stage 5 ,[object Object]
Chi Squared.  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Chi- Squared for 2 variables. ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Stage 4 and 5 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example.  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
What do we want to know ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Data. 13 4.0 43.6 1.0 25 20 Sandstone 25 15 Limestone 25 58 Granite 25 7 Chalk (O-E)squared E Expected frequency (e) Observed Frequency  O Rock type
Formula ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Stage 5 ,[object Object],[object Object]
[object Object],[object Object]

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Mann Whitney U Test And Chi Squared

  • 1. Mann-Whitney U Test and Chi Squared.. More tests of significance- Yipee.
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  • 9. Stage 1 and 2. 1 26.2 30.6 36.4 30.0 30.9 32.9 28.3 33.2 32.0 31.1 31.0 26.6 30.4 Docklands ∑ R2= 114 ∑ R1 =162 7 22 5 16 33.9 8 19 34.9 14 17 34.2 3 18 34.5 15 4 28.4 12 21 36.1 10 20 35.6 9 23 36.6 2 11 31.2 6 13 32.6 Rank (R2) Rank (R1) West London
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  • 21. The Data. 13 4.0 43.6 1.0 25 20 Sandstone 25 15 Limestone 25 58 Granite 25 7 Chalk (O-E)squared E Expected frequency (e) Observed Frequency O Rock type
  • 22.
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  • 24.