Version 5 (modified by ascheibe, 8 years ago) (diff) |
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A page for collecting and discussing statistical analysis of metaheuristic optimization experiments.
In metaheuristic optimization experiments we measure the outcome of a stochastic process. From this measurements we hope to estimate the distribution mean of the outcome. The outcome usually is a certain quality or the time/iterations required to reach a certain quality. These outcomes are random variables with unknown distributions.
The goal in those experiments is to show that one process is able to achieve a better output than another process. There are several ways to show this:
- Boxplot charts
- Overlaid histograms (have not yet seen anyone doing it, but could also be worth a try)
- Statistical hypotheses tests for unequality of two means
Statistical Analysis Methods
- Single comparison
- Multiple comparison
Possible Workflow / Methodology
- Testing data for e.g. normal distributions to decide if parametric or non-parametric tests to apply
- In case of multiple comparisons perform ANOVA, Friedman or another test
- In case multiple comparisons are significant use pairwise comparisons with post hoc analysis adjustments
Critique
- Steven Goodman. 2008. A Dirty Dozen: Twelve P-Value Misconceptions. Seminars in Hematology Volume 45, Issue 3, July 2008, Pages 135–140
- Jacob Cohen. 1994. The Earth is Round (p < 0.05). American Psycologist. http://ist-socrates.berkeley.edu/~maccoun/PP279_Cohen1.pdf
- Hubbard, Bayarri. 2003. P-Values are not Error Probabilities. http://ftp.isds.duke.edu/WorkingPapers/03-26.pdf
References
- García, Fernández, Luengo, Herrera. 2010. Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: Experimental analysis of power. Information Sciences 180, pp. 2044–2064. (http://sci2s.ugr.es/sicidm/pdf/2010-Garcia-INS.pdf)
Links
- STATService for comparison of metaheuristic results
- Post-hoc analysis
- Friedman test example
- Criticism of friedman test
- Statistical Tests Overview
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- significant.png (289.1 KB) - added by gkronber 8 years ago.
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