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Ordinal Dependent Variable or  Non-normal Continuous Variable Week 14 4/6/09 Comparing non-parametric statistics Final due 4/12/09
Wilcoxon Rank-Sum Test for Differences in 2 Medians ,[object Object],[object Object],[object Object],[object Object]
Wilcoxon Rank-Sum Test  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Wilcoxon Rank-Sum Test  ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],Wilcoxon Rank-Sum Test:
Wilcoxon Rank-Sum Test: Tie in 3 rd  and 4 th  places Ranked Capacity values: Capacity Rank Hosp A Hosp B Hosp A Hosp B 71 1 77 2 82 3.5 82  3.5 85 5 88 6 92 7 94 8 97 9 Rank Sums: 20.5 24.5
Wilcoxon Rank-Sum Test: ,[object Object],[object Object]
Wilcoxon Rank-Sum Test:  ,[object Object],[object Object]
Kruskal-Wallis Rank Test  for  c   Medians ,[object Object],[object Object],[object Object]
Kruskal-Wallis Rank Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Kruskal-Wallis Rank Test: ,[object Object],Machine1   Machine2   Machine3 25.40   23.40   20.00 26.31   21.80   22.20 24.10   23.50   19.75 23.74   22.75   20.60 25.10   21.60   20.40
Obtaining a Ranking Machine1   Machine2   Machine3   14  9  2   15  6  7   12  10  1   11  8  4   13  5  3 Raw Data Ranks 65 38 17 Machine1   Machine2   Machine3 25.40   23.40   20.00 26.31   21.80   22.20 24.10   23.50   19.75 23.74   22.75   20.60 25.10   21.60   20.40
Kruskal-Wallis Test Procedure ,[object Object],[object Object],where: n = sum of sample sizes in all samples c = Number of samples T j  = Sum of ranks in the j th  sample n j  = Size of the j th  sample
Kruskal-Wallis Test  Example Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],Decision: Conclusion:    = .05 H  = 11.58
Nonparametric Equivalents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Hph7300week14winter2009narr

  • 1. Ordinal Dependent Variable or Non-normal Continuous Variable Week 14 4/6/09 Comparing non-parametric statistics Final due 4/12/09
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  • 6. Wilcoxon Rank-Sum Test: Tie in 3 rd and 4 th places Ranked Capacity values: Capacity Rank Hosp A Hosp B Hosp A Hosp B 71 1 77 2 82 3.5 82 3.5 85 5 88 6 92 7 94 8 97 9 Rank Sums: 20.5 24.5
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  • 12. Obtaining a Ranking Machine1 Machine2 Machine3 14 9 2 15 6 7 12 10 1 11 8 4 13 5 3 Raw Data Ranks 65 38 17 Machine1 Machine2 Machine3 25.40 23.40 20.00 26.31 21.80 22.20 24.10 23.50 19.75 23.74 22.75 20.60 25.10 21.60 20.40
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