Skip to main content
SpringerLink
Log in

On Evidential Measures of Support for Reasoning with Integrated Uncertainty: A Lesson from the Ban of P-values in Statistical Inference

  • Conference paper
  • First Online:
Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9978))

Abstract

In view of the recent ban of the use of P-values in statistical inference, since they are not qualified as information measures of support from empirical evidence, we will not only take a closer look at them, but also embark on a panorama of more promising ingredients which could replace P-values for statistical science as well as for any fields involving reasoning with integrated uncertainty. These ingredients include the recently developed theory of Inferential Models, the emergent Information Theoretic Statistics, and of course Bayesian statistics. The lesson learned from the ban of P-values is emphasized for other types of uncertainty measures, where information measures, their logical aspects (conditional events, probability logic) are examined.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Anderson, D.R.: Model Based Inference in the Life Sciences. Springer, Heidelberg (2008)

    Book  MATH  Google Scholar 

  2. ASA News, American Statistical Association releases statement on statistical significance and p-value, ASA News, March 2016

    Google Scholar 

  3. Bamber, D., Goodman, I.R., Nguyen, H.T.: Robust reasoning with rules that have exceptions: from second-order probability to argumentation via upper envelopes of probability and possibility plus directed graphs. Ann. Math. Artif. Intell. 45, 83–171 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Benish, W.A.: Relative entropy as a measure of diagnostic information. Med. Decis. Making 19, 202–206 (1999)

    Article  Google Scholar 

  5. Burnham, K.P., Anderson, D.R., Selection, M., Inference, M.: A Practical Information Theoretic Approach. Springer, New York (2002)

    Google Scholar 

  6. Cohen, J.: The earth is round. Am. Psychlog. 49(12), 997–1003 (1994)

    Article  Google Scholar 

  7. Cover, T.M., Thomas, J.A.: Elements of Information Theory. Wiley, New York (2006)

    MATH  Google Scholar 

  8. Cumming, G.: Understanding the New Statistics. Routledge, New York (2012)

    Google Scholar 

  9. Fisher, R.A.: Statistical Methods for Research Workers. Oliver and Boyd, Edinburgh (1925)

    MATH  Google Scholar 

  10. Fisher, R.A.: Mathematics of the lady tasting tea, the world of mathematics. In: Newman, J.R. (ed.) (Part VIII): Statistics and the Design of Experiments, vo. III, pp. 1514–1521. Simon and Schuster (1956)

    Google Scholar 

  11. Freedman, D., Pisani, R., Purves, R.: Statistics. W.W. Norton, New York (2007)

    Google Scholar 

  12. Goodman, I.R., Nguyen, H.T., Walker, E.A., Inference, C.: Logic for Intelligent Systems: A Theory of Measure-Free Conditioning. Hardcover, North-Holland (1991)

    Google Scholar 

  13. Goodman, S.: A dirty dozen: twelve p-value misconceptions. Semin. Hematol. 45, 135–140 (2008)

    Article  Google Scholar 

  14. Gurevich, Y., Vovk, V., Fundamentals of P-values: introduction. Bull. Euro. Assoc. Theor. Comput. Sci. (2016, to appear)

    Google Scholar 

  15. Hurlbert, S.H., Lombardi, C.M.: The final collapse of the Neyman-Pearson decision theoretic framework and the rise of the neoFisherian. Ann. Zool. Fenn. 46, 311–349 (2009)

    Article  Google Scholar 

  16. Lavine, M.: Comment on Murtaugh. Ecology 93(5), 642–645 (2014)

    Article  Google Scholar 

  17. Lehmann, E.L.: The fisher, Neyman-pearson theories of testing hypotheses: one theory or two? J. Am. Stat. Assoc. 88(424), 1242–1249 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  18. Lehmann, E.L., Romano, J.P.: Testing Statistical Hypotheses. Springer, New York (2005)

    MATH  Google Scholar 

  19. Kock, K.R.: Introduction to Bayesian Statistics. Springer, Heidelberg (2007)

    Google Scholar 

  20. Konishi, S., Kitagawa, G.: Information Criteria and Statistical Modeling. Springer, New York (2008)

    Book  MATH  Google Scholar 

  21. Kullback, S.: Information Theory and Statistics. Dover, New York (1968)

    MATH  Google Scholar 

  22. Martin, R., Liu, C.: A note on P-values interpreted as plausibilities. Stat. Sinica 24, 1703–1716 (2014)

    MathSciNet  MATH  Google Scholar 

  23. Martin, R., Liu, C.: Inferential Models. Chapman and Hall/CRC Press, Boca Raton (2016)

    Google Scholar 

  24. Nguyen, H.T.: Sur les measures d’information de type Inf. In: Nguyen, H.T. (ed.) Theories de l’Information, vol. 398, pp. 62–75. Springer, Heidelberg (1974)

    Google Scholar 

  25. Nguyen, H.T., Walker, E.A.: A history and introduction to the algebra of conditional events and probability logic. IEEE Trans. Man Syst. Cybern. 24(2), 1671–1675 (1996)

    MathSciNet  Google Scholar 

  26. Nguyen, H.T., Walker, E.A.: A First Course in Fuzzy Logic. Chapman and Hall/ CRC Press, Boca Raton (2005)

    MATH  Google Scholar 

  27. Nguyen, H.T.: An Introduction to Random Sets. Chapman and Hall/CRC Press, Boca Raton (2006)

    Book  MATH  Google Scholar 

  28. Nuzzo, R.: Statistical errors. Nature 506, 150–152 (2014)

    Article  Google Scholar 

  29. Salbursg, D.: The Lady Teasting Tea. A.W.H Freeman, New York (2001)

    Google Scholar 

  30. Schervish, M.J.: P values: what they are and what they are not. Am. Stat. 50(3), 203–206 (1996)

    MathSciNet  Google Scholar 

  31. Shafer, G., Vovk, V.: Probability and Finance: It’s only a Game. Wiley, New York (2001)

    Book  MATH  Google Scholar 

  32. Trafimow, D., Marks, E.: Basic and applieds. Soc. Psychol. 37, 1–2 (2015)

    Google Scholar 

  33. Wassertein, R.L., Lazar, N.A.: The ASA’s statement on P-value: context, process and purpose. Am. Stat. 70, 129–133 (2016)

    Article  Google Scholar 

  34. Wheelan, C.: Naked Statistics. W.W Norton, New York (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, USA

    Hung T. Nguyen

  2. Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Hung T. Nguyen

Authors
  1. Hung T. Nguyen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hung T. Nguyen .

Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan

    Van-Nam Huynh

  2. Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan

    Masahiro Inuiguchi

  3. University of Science, Ho Chi Minh City, Vietnam

    Bac Le

  4. Duy Tan University, Da Nang, Vietnam

    Bao Nguyen Le

  5. Université de Technologie de Compiègne , Compiègne, France

    Thierry Denoeux

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Nguyen, H.T. (2016). On Evidential Measures of Support for Reasoning with Integrated Uncertainty: A Lesson from the Ban of P-values in Statistical Inference. In: Huynh, VN., Inuiguchi, M., Le, B., Le, B., Denoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2016. Lecture Notes in Computer Science(), vol 9978. Springer, Cham. https://doi.org/10.1007/978-3-319-49046-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-49046-5_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49045-8

  • Online ISBN: 978-3-319-49046-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation