Skip to main content

Design of Experiments in Computational Intelligence: On the Use of Statistical Inference

  • Conference paper
Hybrid Artificial Intelligence Systems (HAIS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5271))

Included in the following conference series:

  • 1714 Accesses

  • 3 Citations

Abstract

The experimental analysis on the performance of a proposed method is a crucial and necessary task to carry out in a research. In this contribution we focus on the use of statistical inference for analyzing the results obtained in a design of experiment within the field of computational intelligence. We present some studies involving a set of techniques in different topics which can be used for doing a rigorous comparison among the algorithms studied in an experimental comparison.

Particularly, we study whether the sample of results from multiple trials obtained by the run of several algorithms checks the required conditions for being analyzed through parametric tests. In most of the cases, the results indicate that the fulfillment of these conditions are problem dependent and indefinite, which justifies the need of using nonparametric statistics in the experimental analysis. We show a case study which illustrates the use of nonparametric tests and finally we give some guidelines on the use of nonparametric statistical tests.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+
from €37.37 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

Chapter
EUR 29.95
Price includes VAT (Netherlands)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 106.99
Price includes VAT (Netherlands)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Aguilar-Ruiz, J.S., Giráldez, R., Riquelme, J.C.: Natural encoding for evolutionary supervised learning. IEEE Transactions on Evolutionary Computation 11(4), 466–479 (2007)

    Article  Google Scholar 

  2. Bacardit, J.: Pittsburgh genetic-based machine learning in the data mining era: representations, generalization and run-time. Phd Thesis, Dept. Computer Science University Ramon Llull, Barcelona, Spain (2004)

    Google Scholar 

  3. Ben-David, A.: A lot of randomness is hiding in accuracy. Engineering Applications of Artificial Intelligence 20, 875–885 (2007)

    Article  Google Scholar 

  4. Corcoran, A.L., Sen, S.: Using real-valued genetic algorithm to evolve rule sets for classification. In: Proceedings of the IEEE Conference on Evolutionary Computation, pp. 120–124 (1994)

    Google Scholar 

  5. Eiben, A.E., Smith, J.E.: Introduction to Evolutionary Computing. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  6. Goldberg, D.E.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, Reading (1989)

    MATH  Google Scholar 

  7. Demšar, J.: Statistical comparisons of classifiers over multiple data sets. Journal of Machine Learning Research 7, 1–30 (2006)

    Google Scholar 

  8. Dietterich, T.G.: Approximate Statistical Test For Comparing Supervised Classification Learning Algorithms. Neural Computation 10(7), 1895–1923 (1998)

    Article  Google Scholar 

  9. Fan, R.-E., Chen, P.-H., Lin, C.-J.: Working set selection using second order information for training SVM. Journal of Machine Learning Research 6, 1889–1918 (2005)

    MathSciNet  Google Scholar 

  10. García, S., Molina, D., Lozano, M., Herrera, F.: A study on the use of nonparametric tests for analyzing the evolutionary algorithm’s behaviour: a case study on the CEC 2005 Special Session on Real Parameter Optimization. Journal of Heuristics (in press, 2008) DOI: 10.1007/s10732-008-9080-4

    Google Scholar 

  11. Molina, D., Herrera, F., Lozano, M.: Adaptive local search parameters for real-coded memetic algorithms. In: Proceedings of the 2005 IEEE Congress on Evolutionary Computation (CEC 2005), pp. 888–895 (2005)

    Google Scholar 

  12. Noether, G.E.: Sample size determination for some common nonparametric tests. Journal of American Statistical Association 82(398), 645–647 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  13. Rojas, R., Feldman, J.: Neural Networks: A systematic introduction. Springer, Heidelberg (1996)

    Google Scholar 

  14. Shaffer, J.P.: Multiple hypothesis testing. Annual Review of Psychology 46, 561–584 (1995)

    Article  Google Scholar 

  15. Sheskin, D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. CRC Press, Boca Raton (2006)

    Google Scholar 

  16. Wilson, S.W.: Classifier fitness based on accuracy. Evolutionary Computation 3(2), 149–175 (1995)

    Article  Google Scholar 

  17. Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997)

    Article  Google Scholar 

  18. Wolpert, D.H.: The supervised learning no-free-lunch theorems. In: Proc. 6th Online World Conference on Soft Computing in Industrial Applications (2001)

    Google Scholar 

  19. Wright, S.P.: Adjusted p-values for simultaneous inference. Biometrics 48, 1005–1013 (1992)

    Article  Google Scholar 

  20. Zar, J.H.: Biostatistical Analysis. Prentice-Hall, Englewood Cliffs (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

García, S., Herrera, F. (2008). Design of Experiments in Computational Intelligence: On the Use of Statistical Inference. In: Corchado, E., Abraham, A., Pedrycz, W. (eds) Hybrid Artificial Intelligence Systems. HAIS 2008. Lecture Notes in Computer Science(), vol 5271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87656-4_3

Download citation

Publish with us

Policies and ethics

Profiles

  1. Francisco Herrera