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Nonparametric Tests Based on Ranks

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Sumit Prajapati
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12. Nonparametric test based on ranks Jin-Xin Zhang （张晋昕） School of Public Health Sun Yat-sen University 2009.11.02
[object Object]
 
Supporting Area Rejection Area Rejection Area
Parametric Test ,[object Object],[object Object],[object Object],[object Object]
Non-parametric tests (distribution-free tests) ,[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]
12.1 Wilcoxon’s signed rank sum test (matched pairs) ,[object Object]
T + =24.5; T - =41.5
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
12.2 Wilcoxon’s rank sum test for two samples ,[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]
12.3.1 Kruskal-Wallis’ H test for comparing more than 2 samples ,[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],[object Object],[object Object]
(5) P -value and conclusion —— Compare with critical value of H ( C 7 ) or k : Number of samples Example 12.7: Conclusion: The weights are not all at an equal level.
12.3.2 Friedman test for the data from a randomized block design Example 12.4 The riboflavin were tested for 3 samples of cabbage under four test conditions (A, B, C and D). The results are listed in Table 12.9. Now the question is if the test results are different in different kinds of test conditions.
 
 
 
12.3.3. multiple comparison of mean ranks ,[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],Conclusion: Smoking may lead to the newborn’s lower weights.
The End

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Nonparametric Tests Based on Ranks

  • 1. 12. Nonparametric test based on ranks Jin-Xin Zhang （张晋昕） School of Public Health Sun Yat-sen University 2009.11.02
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  • 4. Supporting Area Rejection Area Rejection Area
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  • 10. T + =24.5; T - =41.5
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  • 19. (5) P -value and conclusion —— Compare with critical value of H ( C 7 ) or k : Number of samples Example 12.7: Conclusion: The weights are not all at an equal level.
  • 20. 12.3.2 Friedman test for the data from a randomized block design Example 12.4 The riboflavin were tested for 3 samples of cabbage under four test conditions (A, B, C and D). The results are listed in Table 12.9. Now the question is if the test results are different in different kinds of test conditions.
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