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Distributions for cited articles from individual subjects and years

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  • Thelwall, Mike
  • Wilson, Paul

Abstract

The citations to a set of academic articles are typically unevenly shared, with many articles attracting few citations and few attracting many. It is important to know more precisely how citations are distributed in order to help statistical analyses of citations, especially for sets of articles from a single discipline and a small range of years, as normally used for research evaluation. This article fits discrete versions of the power law, the lognormal distribution and the hooked power law to 20 different Scopus categories, using citations to articles published in 2004 and ignoring uncited articles. The results show that, despite its popularity, the power law is not a suitable model for collections of articles from a single subject and year, even for the purpose of estimating the slope of the tail of the citation data. Both the hooked power law and the lognormal distributions fit best for some subjects but neither is a universal optimal choice and parameter estimates for both seem to be unreliable. Hence only the hooked power law and discrete lognormal distributions should be considered for subject-and-year-based citation analysis in future and parameter estimates should always be interpreted cautiously.

Suggested Citation

  • Thelwall, Mike & Wilson, Paul, 2014. "Distributions for cited articles from individual subjects and years," Journal of Informetrics, Elsevier, vol. 8(4), pages 824-839.
    • Handle: RePEc:eee:infome:v:8:y:2014:i:4:p:824-839
    DOI: 10.1016/j.joi.2014.08.001
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    References listed on IDEAS

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    1. H. P. F. Peters & A. F. J. van Raan, 1994. "On determinants of citation scores: A case study in chemical engineering," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 45(1), pages 39-49, January.
    2. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
    3. Didegah, Fereshteh & Thelwall, Mike, 2013. "Which factors help authors produce the highest impact research? Collaboration, journal and document properties," Journal of Informetrics, Elsevier, vol. 7(4), pages 861-873.
    4. Pedro Albarrán & Juan A. Crespo & Ignacio Ortuño & Javier Ruiz-Castillo, 2011. "The skewness of science in 219 sub-fields and a number of aggregates," Scientometrics, Springer;Akadémiai Kiadó, vol. 88(2), pages 385-397, August.
    5. Javier Ruiz-Castillo, 2013. "The role of statistics in establishing the similarity of citation distributions in a static and a dynamic context," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(1), pages 173-181, July.
    6. Glänzel, Wolfgang, 2007. "Characteristic scores and scales," Journal of Informetrics, Elsevier, vol. 1(1), pages 92-102.
    7. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    8. Filippo Radicchi & Claudio Castellano, 2012. "A Reverse Engineering Approach to the Suppression of Citation Biases Reveals Universal Properties of Citation Distributions," PLOS ONE, Public Library of Science, vol. 7(3), pages 1-9, March.
    9. Donald O. Case & Georgeann M. Higgins, 2000. "How can we investigate citation behavior? A study of reasons for citing literature in communication," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 51(7), pages 635-645.
    10. Ludo Waltman & Nees Jan van Eck & Anthony F. J. van Raan, 2012. "Universality of citation distributions revisited," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(1), pages 72-77, January.
    11. Félix Moya-Anegón & Zaida Chinchilla-Rodríguez & Benjamín Vargas-Quesada & Elena Corera-Álvarez & Francisco José Muñoz-Fernández & Antonio González-Molina & Victor Herrero-Solana, 2007. "Coverage analysis of Scopus: A journal metric approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 53-78, October.
    12. Ludo Waltman & Nees Jan van Eck & Anthony F. J. van Raan, 2012. "Universality of citation distributions revisited," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 63(1), pages 72-77, January.
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