Title
A study on the use of non-parametric tests for analyzing the evolutionary algorithms' behaviour: a case study on the CEC'2005 Special Session on Real Parameter Optimization
Abstract
In recent years, there has been a growing interest for the experimental analysis in the field of evolutionary algorithms. It is noticeable due to the existence of numerous papers which analyze and propose different types of problems, such as the basis for experimental comparisons of algorithms, proposals of different methodologies in comparison or proposals of use of different statistical techniques in algorithms’ comparison.In this paper, we focus our study on the use of statistical techniques in the analysis of evolutionary algorithms’ behaviour over optimization problems. A study about the required conditions for statistical analysis of the results is presented by using some models of evolutionary algorithms for real-coding optimization. This study is conducted in two ways: single-problem analysis and multiple-problem analysis. The results obtained state that a parametric statistical analysis could not be appropriate specially when we deal with multiple-problem results. In multiple-problem analysis, we propose the use of non-parametric statistical tests given that they are less restrictive than parametric ones and they can be used over small size samples of results. As a case study, we analyze the published results for the algorithms presented in the CEC’2005 Special Session on Real Parameter Optimization by using non-parametric test procedures.
Year
DOI
Venue
2009
10.1007/s10732-008-9080-4
Journal of Heuristics
Keywords
Field
DocType
single-problem analysis,real parameter optimization,statistical technique,statistical analysis,different statistical technique,experimental analysis,evolutionary algorithm,non-parametric test,special session,case study,non-parametric statistical test,parametric statistical analysis,multiple-problem analysis,non parametric statistics,parametric tests,evolutionary algorithms,code optimization,optimization problem,non parametric tests
Evolutionary algorithm,Computer science,Nonparametric statistics,Parametric statistics,Artificial intelligence,Statistical theory,Optimization problem,Machine learning,Statistical hypothesis testing,Statistical analysis,Test procedures
Journal
Volume
Issue
ISSN
15
6
1381-1231
Citations 
PageRank 
References 
653
19.25
21
Authors
4
Search Limit
100653
Name
Order
Citations
PageRank
Salvador García1121934.57
Daniel Molina2194353.23
Manuel Lozano3136949.59
Francisco Herrera4273911168.49