IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v127y2022i1d10.1007_s11192-021-04053-3.html
   My bibliography  Save this article

Impact measures: What are they?

Author

Listed:
  • Leo Egghe

    (Hasselt University)

Abstract

A mathematical, axiomatic definition for the hitherto vague notion of “impact measure” is proposed. For this four conditions are defined on a given set of (rank-frequency) functions (of which the aim is to measure impact). The most typical condition explains how an impact measure should behave on the most productive sources appearing in this function (i.e. in the left side of this rank-frequency function). An overview of “classical” impact measures is provided and it is proved (in most but not in all cases) that they satisfy these conditions for impact measures. This approach can be compared with (but is different from) the approach in econometrics where one defines what concentration is for a (rank-frequency) function. In this way I embed the important notion of impact into the important Lorenz theory.

Suggested Citation

  • Leo Egghe, 2022. "Impact measures: What are they?," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(1), pages 385-406, January.
    • Handle: RePEc:spr:scient:v:127:y:2022:i:1:d:10.1007_s11192-021-04053-3
    DOI: 10.1007/s11192-021-04053-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-021-04053-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11192-021-04053-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Egghe, Leo, 2021. "A theory of pointwise defined impact measures," Journal of Informetrics, Elsevier, vol. 15(3).
    2. Egghe, Leo & Rousseau, Ronald, 2019. "Solution by step functions of a minimum problem in L2[0,T], using generalized h- and g-indices," Journal of Informetrics, Elsevier, vol. 13(3), pages 785-792.
    3. Stephen P. Harter & Thomas E. Nisonger, 1997. "ISI's impact factor as misnomer: A proposed new measure to assess journal impact," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 48(12), pages 1146-1148, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Egghe, Leo & Rousseau, Ronald, 2022. "Rank-frequency data and impact in a continuous model: Introducing impact bundles," Journal of Informetrics, Elsevier, vol. 16(3).
    2. Egghe, Leo & Rousseau, Ronald, 2023. "Global informetric impact: A description and definition using bundles," Journal of Informetrics, Elsevier, vol. 17(1).
    3. Egghe, Leo, 2024. "Mathematical informetrics: Hirsch-type equations and bundles," Journal of Informetrics, Elsevier, vol. 18(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Egghe, Leo & Rousseau, Ronald, 2023. "Global informetric impact: A description and definition using bundles," Journal of Informetrics, Elsevier, vol. 17(1).
    2. Egghe, Leo & Rousseau, Ronald, 2022. "Rank-frequency data and impact in a continuous model: Introducing impact bundles," Journal of Informetrics, Elsevier, vol. 16(3).
    3. Lathabai, Hiran H., 2020. "ψ-index: A new overall productivity index for actors of science and technology," Journal of Informetrics, Elsevier, vol. 14(4).
    4. Raúl G. Torricella-Morales & Guido Van Hooydonk & Juan Antonio Araujo-Ruiz, 2000. "Citation Analysis of Cuban Research. Part 1. A Case Study: The Cuban Journal of Agricultural Science," Scientometrics, Springer;Akadémiai Kiadó, vol. 47(2), pages 413-426, February.
    5. Leo Egghe & Ronald Rousseau, 2019. "Measures of linear type lead to a characterization of Zipf functions," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(3), pages 1707-1715, December.
    6. Leo Egghe & Ronald Rousseau, 2020. "Minimal Impact One-Dimensional Arrays," Mathematics, MDPI, vol. 8(5), pages 1-11, May.
    7. Leo Egghe & Ronald Rousseau, 2021. "The h-index formalism," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 6137-6145, July.
    8. Egghe, Leo, 2021. "A theory of pointwise defined impact measures," Journal of Informetrics, Elsevier, vol. 15(3).
    9. Chen, Kun & Ren, Xian-tong & Yang, Guo-liang, 2021. "A novel approach for assessing academic journals: Application of integer DEA model for management science and operations research field," Journal of Informetrics, Elsevier, vol. 15(3).
    10. Baumgartner, H. & Pieters, R., 2000. "The Influence of Marketing Journals : A Citation Analysis of the Discipline and its Sub-areas," Other publications TiSEM 616da55c-55fe-4ca4-88c0-2, Tilburg University, School of Economics and Management.
    11. Johan Bollen & Herbert Van de Sompel & Aric Hagberg & Ryan Chute, 2009. "A Principal Component Analysis of 39 Scientific Impact Measures," PLOS ONE, Public Library of Science, vol. 4(6), pages 1-11, June.
    12. Baumgartner, H. & Pieters, R., 2000. "The Influence of Marketing Journals : A Citation Analysis of the Discipline and its Sub-areas," Discussion Paper 2000-123, Tilburg University, Center for Economic Research.
    13. Egghe, Leo & Rousseau, Ronald, 2020. "Polar coordinates and generalized h-type indices," Journal of Informetrics, Elsevier, vol. 14(2).
    14. Egghe, Leo, 2024. "Mathematical informetrics: Hirsch-type equations and bundles," Journal of Informetrics, Elsevier, vol. 18(1).
    15. Brenda Cheang & Chongshou Li & Andrew Lim & Zhenzhen Zhang, 2015. "Identifying patterns and structural influences in the scientific communication of business knowledge," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 159-189, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:scient:v:127:y:2022:i:1:d:10.1007_s11192-021-04053-3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.