Wilcoxon
Non parametric Wilcoxon test to evaluate the difference between paired (dependent) samples.
If the number of difference is less than 15, the algorithm calculate the exact ranks distribution;
else it uses a normal distribution approximation.
Now, the MatLab function SIGNRANK returns the same p-value.
Anyway, this Wilcoxon function gives a more detailed output (that is necessary for publications...)
Syntax: STATS=WILCOXON(X1,X2,PLTS)
Inputs:
X1 and X2 - data vectors.
ALPHA - significance level (default = 0.05).
PLTS - Flag to set if you don't want (0) or want (1) view the plots
Outputs:
- W value and p-value when exact ranks distribution is used.
- W value, Z value, Standard deviation (Mean=0), p-value when normal distribution is used
If STATS nargout was specified the results will be stored in the STATS
struct.
Example:
X1=[77 79 79 80 80 81 81 81 81 82 82 82 82 83 83 84 84 84 84 85 85 86 86 87 87];
X2=[82 82 83 84 84 85 85 86 86 86 86 86 86 86 86 86 87 87 87 88 88 88 89 90 90];
Calling on Matlab the function: wilcoxon(X1,X2)
Answer is:
WILCOXON TEST
Mean_of_differences Confidence_interval
___________________ ___________________
Binomial_estimator 3 3 4
Hodges_Lehmann_estimator 3.5 3 4
Sample size is good enough to use the normal distribution approximation
W Mean SD Z p_value_two_tails
___ ____ ______ ______ _________________
325 0 73.161 4.4354 9.1886e-06
Created by Giuseppe Cardillo
giuseppe.cardillo-edta@poste.it
To cite this file, this would be an appropriate format:
Cardillo G. (2006). Wilcoxon test: non parametric Wilcoxon test for paired samples.
http://www.mathworks.com/matlabcentral/fileexchange/12702
인용 양식
Giuseppe Cardillo (2024). Wilcoxon (https://github.com/dnafinder/wilcoxon), GitHub. 검색됨 .
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버전 | 게시됨 | 릴리스 정보 | |
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2.0.0.0 | inputparser; table implementation; some minor bugs correction; github link |
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1.10.0.0 | bug correction in normal approximation p-value |
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1.9.0.0 | the Hodges-Lehmann estimator of median of differences was added |
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1.8.0.0 | I added the plts flag to choose to show the plots |
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1.7.0.0 | Changes in description |
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1.6.0.0 | Changes in help and description sections |
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1.5.0.0 | the STATS struct nargout was added |
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1.4.0.0 | The output and the error handling were changed |
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1.3.0.0 | bug correction |
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1.2.0.0 | Little correction in help section to allow a correct copy and paste of the example. Correction in exitus subroutine. |
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1.1.0.0 | Changes in help section |
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1.0.0.0 | Improvement in input error handling |