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A citation index for principal investigators

Author

Listed:
  • Christoph Steinbrüchel

    (Rensselaer Polytechnic Institute)

Abstract

A new citation index $$h_{\mathrm{PI}}$$ h PI for principal investigators (PIs) is defined in analogy to Hirsch’s index h, but based on renormalized citations of a PI’s papers. To this end, the authors of a paper are divided into two groups: PIs and non-PIs. A PI is defined as an assistant, associate or full professor at a university who supervises an individual research program. The citations for each paper of a certain PI are then divided by the number of PIs among the authors of that paper. Data are presented for a sample of 48 PIs of physics and physics-related engineering departments from a private research-oriented U.S. university using the ISI Web of Science citations database. The main result is that individual rankings based on h and $$h_{\mathrm{PI}}$$ h PI differ substantially. Also, to a good approximation across the sample of 48 PIs, one finds that $$h_{\mathrm{PI}} = h \,/ \sqrt{ }$$ h PI = h / where $${ }$$ is the average number of principal investigators for the papers of the PI in question. Similarly, $$h_{\mathrm{PI}} = \frac{1}{2} \sqrt{C_{\mathrm{tot}}\,/ }$$ h PI = 1 2 C tot / , where $$C_{\mathrm{tot}}$$ C tot is the total number of the PI’s citations. Approaches to broadending the scope of h or $$h_{\mathrm{PI}}$$ h PI with regard to highly cited papers are compared, and a new metric called $$h_x$$ h x is introduced for such papers which represents the average number of citations exceeding the minimum of $$h^2$$ h 2 in the h-core. A recent proposal to determine an optimum h-index is also discussed in relationship to actual citation data.

Suggested Citation

  • Christoph Steinbrüchel, 2019. "A citation index for principal investigators," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(1), pages 305-320, January.
  • Handle: RePEc:spr:scient:v:118:y:2019:i:1:d:10.1007_s11192-018-2971-8
    DOI: 10.1007/s11192-018-2971-8
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    References listed on IDEAS

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    1. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    2. 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.
    3. 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.
    4. 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.
    5. Richard S. J. Tol, 2011. "Credit where credit’s due: accounting for co-authorship in citation counts," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(1), pages 291-299, October.
    6. Serge Galam, 2011. "Tailor based allocations for multiple authorship: a fractional gh-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(1), pages 365-379, October.
    7. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    8. van Eck, Nees Jan & Waltman, Ludo, 2008. "Generalizing the h- and g-indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 263-271.
    9. Pablo Dorta-González & María-Isabel Dorta-González, 2011. "Central indexes to the citation distribution: a complement to the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(3), pages 729-745, September.
    10. van Eck, N.J.P. & Waltman, L., 2008. "Generalizing the h- and g-indices," ERIM Report Series Research in Management ERS-2008-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    11. Leo Egghe, 2008. "Mathematical theory of the h‐ and g‐index in case of fractional counting of authorship," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(10), pages 1608-1616, August.
    12. Qiang Wu, 2010. "The w-index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
    13. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.
    14. Michael Schreiber, 2008. "An empirical investigation of the g‐index for 26 physicists in comparison with the h‐index, the A‐index, and the R‐index," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(9), pages 1513-1522, July.
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