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A case study of the modified Hirsch index hm accounting for multiple coauthors

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  • Michael Schreiber

Abstract

J.E. Hirsch (2005) introduced the h‐index to quantify an individual's scientific research output by the largest number h of a scientist's papers, that received at least h citations. This so‐called Hirsch index can be easily modified to take multiple coauthorship into account by counting the papers fractionally according to (the inverse of) the number of authors. I have worked out 26 empirical cases of physicists to illustrate the effect of this modification. Although the correlation between the original and the modified Hirsch index is relatively strong, the arrangement of the datasets is significantly different depending on whether they are put into order according to the values of either the original or the modified index.

Suggested Citation

  • Michael Schreiber, 2009. "A case study of the modified Hirsch index hm accounting for multiple coauthors," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 60(6), pages 1274-1282, June.
    • Handle: RePEc:bla:jamist:v:60:y:2009:i:6:p:1274-1282
    DOI: 10.1002/asi.21057
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    Cited by:

    1. J. E. Hirsch, 2019. "hα: An index to quantify an individual’s scientific leadership," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(2), pages 673-686, February.
    2. Du Jian & Tang Xiaoli, 2013. "Perceptions of author order versus contribution among researchers with different professional ranks and the potential of harmonic counts for encouraging ethical co-authorship practices," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(1), pages 277-295, July.
    3. Serge Galam, 2011. "Tailor based allocations for multiple authorship: a fractional gh-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(1), pages 365-379, October.
    4. Marek Kosmulski, 2020. "Nobel laureates are not hot," Scientometrics, Springer;Akadémiai Kiadó, vol. 123(1), pages 487-495, April.
    5. Muhammad Imtiaz Subhani & Amber Osman & Syed Akif Hasan & Muhammad Saad & Sabeen Mir, 2013. "Formulation of Advanced H-Index: The S-Index," South Asian Journal of Management Sciences (SAJMS), Iqra University, Iqra University, vol. 7(2), pages 63-70, Fall.
    6. Schreiber, Michael, 2010. "How to modify the g-index for multi-authored manuscripts," Journal of Informetrics, Elsevier, vol. 4(1), pages 42-54.
    7. Fenghua Wang & Ying Fan & An Zeng & Zengru Di, 2019. "A nonlinear collective credit allocation in scientific publications," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(3), pages 1655-1668, June.
    8. Gangan Prathap, 2011. "The fractional and harmonic p-indices for multiple authorship," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(2), pages 239-244, February.
    9. Bornmann, Lutz & Mutz, Rüdiger & Hug, Sven E. & Daniel, Hans-Dieter, 2011. "A multilevel meta-analysis of studies reporting correlations between the h index and 37 different h index variants," Journal of Informetrics, Elsevier, vol. 5(3), pages 346-359.
    10. Janne-Tuomas Seppänen & Hanna Värri & Irene Ylönen, 2022. "Co-citation Percentile Rank and JYUcite: a new network-standardized output-level citation influence metric and its implementation using Dimensions API," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(6), pages 3523-3541, June.
    11. Elizabeth S. Vieira & José A. N. F. Gomes, 2011. "An impact indicator for researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(2), pages 607-629, November.
    12. Waltman, Ludo & van Eck, Nees Jan, 2015. "Field-normalized citation impact indicators and the choice of an appropriate counting method," Journal of Informetrics, Elsevier, vol. 9(4), pages 872-894.
    13. Christoph Steinbrüchel, 2019. "A citation index for principal investigators," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(1), pages 305-320, January.
    14. Schreiber, Michael, 2010. "A case study of the modified g index: Counting multi-author publications fractionally," Journal of Informetrics, Elsevier, vol. 4(4), pages 636-643.
    15. Waltman, Ludo, 2016. "A review of the literature on citation impact indicators," Journal of Informetrics, Elsevier, vol. 10(2), pages 365-391.
    16. Schreiber, Michael, 2013. "A case study of the arbitrariness of the h-index and the highly-cited-publications indicator," Journal of Informetrics, Elsevier, vol. 7(2), pages 379-387.
    17. Anna Tietze & Philip Hofmann, 2019. "The h-index and multi-author hm-index for individual researchers in condensed matter physics," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 171-185, April.
    18. Liu, Xuan Zhen & Fang, Hui, 2012. "Modifying h-index by allocating credit of multi-authored papers whose author names rank based on contribution," Journal of Informetrics, Elsevier, vol. 6(4), pages 557-565.
    19. J. E. Hirsch, 2010. "An index to quantify an individual’s scientific research output that takes into account the effect of multiple coauthorship," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(3), pages 741-754, December.
    20. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    21. N. Assimakis & M. Adam, 2010. "A new author’s productivity index: p-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(2), pages 415-427, November.
    22. Yves Fassin, 2020. "The HF-rating as a universal complement to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(2), pages 965-990, November.
    23. Shaon Sahoo, 2016. "Analyzing research performance: proposition of a new complementary index," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(2), pages 489-504, August.
    24. Abramo, Giovanni & D’Angelo, Ciriaco Andrea & Rosati, Francesco, 2013. "The importance of accounting for the number of co-authors and their order when assessing research performance at the individual level in the life sciences," Journal of Informetrics, Elsevier, vol. 7(1), pages 198-208.

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