Suppose we have to algorithm (A and B) to solve a multi-objective problem. Each algorithm provides a set of solutions. Which statistical test is appropriate to compare these algorithms? Is Wilcoxon test appropriate?
Dear Hamld,
I suggest to you links and attached files in topics.
-Nonparametric Tests - School of Public Health - Boston University
sphweb.bumc.bu.edu/otlt/mph.../bs704_nonparametric_print.html
- Artificial Life and Computational Intelligence: Second Australasian ...
https://books.google.dz/books?isbn=3319282700
Best regards
There are many strategies to compare the solutions of differernt algorithm, details about the methods you can found from this paper in ResearchGate at
Article A review of the status and use of validation procedures for ...
Dear Hamid,
To check the statistical significance of pairwise differences among solutions, the Wilcoxon test is fine and the Chi-square test also would work. To perform these tests, the null hypothesis is that there is no significant difference between the two solutions at a significant level (e.g., 5 %). The p value and z value are used to assess the significance of differences between the solutions. When the p value is less than the significant level (0.05) and the z value exceeds the critical values of z (−1.96 and +1.96), the null hypothesis is rejected, meaning that the performance of the algorithms is significantly different.
Good luck with your study.
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