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Application of the distribution of citations among publications in scientometric evaluations

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  • Péter Vinkler

Abstract

The π‐indicator (or πv‐indicator) of a set of journal papers is equal to a hundredth of the total number of citations obtained by the elite set of publications. The number of publications in the elite set P(π) is calculated as the square root of total papers. For greater sets the following equation is used: P(πv) = (10 log P) − 10, where P is the total number of publications. For sets comprising a single or several extreme frequently cited paper, the π‐index may be distorted. Therefore, a new indicator based on the distribution of citations is suggested. Accordingly, the publications are classified into citation categories, of which lower limits are given as 0, and (2n + 1), whereas the upper limits as 2n (n = 0, 2, 3, etc.). The citations distribution score (CDS) index is defined as the sum of weighted numbers of publications in the individual categories. The CDS‐index increases logarithmically with the increasing number of citations. The citation distribution rate indicator is introduced by relating the actual CDS‐index to the possible maximum. Several size‐dependent and size‐independent indicators were calculated. It has been concluded that relevant, already accepted scientometric indicators may validate novel indices through resulting in similar conclusions (“converging validation of indicators”).

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  • Péter Vinkler, 2011. "Application of the distribution of citations among publications in scientometric evaluations," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(10), pages 1963-1978, October.
    • Handle: RePEc:bla:jamist:v:62:y:2011:i:10:p:1963-1978
    DOI: 10.1002/asi.21600
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    References listed on IDEAS

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    1. Vinkler, Péter, 2013. "Would it be possible to increase the Hirsch-index, π-index or CDS-index by increasing the number of publications or citations only by unity?," Journal of Informetrics, Elsevier, vol. 7(1), pages 72-83.
    2. Vinkler, Péter, 2014. "The use of the Percentage Rank Position index for comparative evaluation of journals," Journal of Informetrics, Elsevier, vol. 8(2), pages 340-348.
    3. Maki Kato & Asao Ando, 2013. "The relationship between research performance and international collaboration in chemistry," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 535-553, December.
    4. Loet Leydesdorff, 2013. "An evaluation of impacts in “Nanoscience & nanotechnology”: steps towards standards for citation analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 94(1), pages 35-55, January.
    5. Chen, Dar-zen & Huang, Mu-hsuan & Ye, Fred Y., 2013. "A probe into dynamic measures for h-core and h-tail," Journal of Informetrics, Elsevier, vol. 7(1), pages 129-137.
    6. Péter Vinkler, 2012. "The Garfield impact factor, one of the fundamental indicators in scientometrics," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(2), pages 471-483, August.
    7. Péter Vinkler, 2021. "Evaluation of publications by the part-set method," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(4), pages 2737-2757, April.
    8. Sidiropoulos, A. & Gogoglou, A. & Katsaros, D. & Manolopoulos, Y., 2016. "Gazing at the skyline for star scientists," Journal of Informetrics, Elsevier, vol. 10(3), pages 789-813.
    9. Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2015. "Ranking and identifying influential scientists versus mass producers by the Perfectionism Index," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 1-31, April.
    10. Franceschini, Fiorenzo & Galetto, Maurizio & Maisano, Domenico & Mastrogiacomo, Luca, 2013. "An informetric model for the success-index," Journal of Informetrics, Elsevier, vol. 7(1), pages 109-116.
    11. Fiorenzo Franceschini & Domenico Maisano & Luca Mastrogiacomo, 2014. "The citer-success-index: a citer-based indicator to select a subset of elite papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(2), pages 963-983, November.
    12. Vinkler, Péter, 2012. "The case of scientometricians with the “absolute relative” impact indicator," Journal of Informetrics, Elsevier, vol. 6(2), pages 254-264.
    13. Kuan, Chung-Huei & Huang, Mu-Hsuan & Chen, Dar-Zen, 2013. "Cross-field evaluation of publications of research institutes using their contributions to the fields’ MVPs determined by h-index," Journal of Informetrics, Elsevier, vol. 7(2), pages 455-468.
    14. 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.
    15. Franceschini, Fiorenzo & Galetto, Maurizio & Maisano, Domenico & Mastrogiacomo, Luca, 2012. "Further clarifications about the success-index," Journal of Informetrics, Elsevier, vol. 6(4), pages 669-673.
    16. Péter Vinkler, 2017. "The size and impact of the elite set of publications in scientometric assessments," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(1), pages 163-177, January.
    17. Fiorenzo Franceschini & Domenico Maisano & Luca Mastrogiacomo, 2013. "Evaluating research institutions: the potential of the success-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(1), pages 85-101, July.
    18. Vinkler, Péter, 2013. "Comparative rank assessment of journal articles," Journal of Informetrics, Elsevier, vol. 7(3), pages 712-717.

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