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The evaluation of citation distributions

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  • Javier Ruiz-Castillo

Abstract

This paper reviews a number of recent contributions that demonstrate that a blend of welfare economics and statistical analysis is useful in the evaluation of the citations received by scientific papers in the periodical literature. The paper begins by clarifying the role of citation analysis in the evaluation of research. Next, a summary of results about the citation distributions’ basic features at different aggregation levels is offered. These results indicate that citation distributions share the same broad shape, are highly skewed, and are often crowned by a power law. In light of this evidence, a novel methodology for the evaluation of research units is illustrated by comparing the high- and low-citation impact achieved by the U.S., the European Union, and the rest of the world in 22 scientific fields. However, contrary to recent claims, it is shown that mean normalization at the sub-field level does not lead to a universal distribution. Nevertheless, among other topics subject to ongoing research, it appears that this lack of universality does not preclude sensible normalization procedures to compare the citation impact of articles in different scientific fields.
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Suggested Citation

  • Javier Ruiz-Castillo, 2012. "The evaluation of citation distributions," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 291-310, March.
  • Handle: RePEc:spr:series:v:3:y:2012:i:1:p:291-310
    DOI: 10.1007/s13209-011-0074-3
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    1. Quesada, Antonio, 2009. "Monotonicity and the Hirsch index," Journal of Informetrics, Elsevier, vol. 3(2), pages 158-160.
    2. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-766, May.
    3. Moed, H. F. & Burger, W. J. M. & Frankfort, J. G. & Van Raan, A. F. J., 1985. "The use of bibliometric data for the measurement of university research performance," Research Policy, Elsevier, vol. 14(3), pages 131-149, June.
    4. Pedro Albarrán & Javier Ruiz‐Castillo, 2011. "References made and citations received by scientific articles," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(1), pages 40-49, January.
    5. Pedro Albarrán & Ignacio Ortuño & Javier Ruiz-Castillo, 2011. "Average-based versus high- and low-impact indicators for the evaluation of scientific distributions," Research Evaluation, Oxford University Press, vol. 20(4), pages 325-339, October.
    6. Jean-Francois Molinari & Alain Molinari, 2008. "A new methodology for ranking scientific institutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(1), pages 163-174, April.
    7. Loet Leydesdorff & Caroline Wagner, 2009. "Is the United States losing ground in science? A global perspective on the world science system," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(1), pages 23-36, January.
    8. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    9. 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.
    10. Albarrán, Pedro & Ortuño, Ignacio & Ruiz-Castillo, Javier, 2011. "High- and low-impact citation measures: Empirical applications," Journal of Informetrics, Elsevier, vol. 5(1), pages 122-145.
    11. Thed N. Van Leeuwen & Martijn S. Visser & Henk F. Moed & Ton J. Nederhof & Anthony F. J. Van Raan, 2003. "The Holy Grail of science policy: Exploring and combining bibliometric tools in search of scientific excellence," Scientometrics, Springer;Akadémiai Kiadó, vol. 57(2), pages 257-280, June.
    12. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    13. Robert J. W. Tijssen & Martijn S. Visser & Thed N. van Leeuwen, 2002. "Benchmarking international scientific excellence: Are highly cited research papers an appropriate frame of reference?," Scientometrics, Springer;Akadémiai Kiadó, vol. 54(3), pages 381-397, July.
    14. Antonio Quesada, 2010. "More axiomatics for the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 413-418, February.
    15. Javier Ruiz-Castillo, 2012. "The evaluation of citation distributions," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 291-310, March.
    16. Albarrán, Pedro & Crespo, Juan A. & Ortuño, Ignacio & Ruiz-Castillo, Javier, 2009. "A comparison of the scientific performance of the U. S. and the European Union at the turn of the XXI century," UC3M Working papers. Economics we095534, Universidad Carlos III de Madrid. Departamento de Economía.
    17. Thierry Marchant, 2009. "An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 325-342, August.
    18. Albarrán, Pedro & Ortuño, Ignacio & Ruiz-Castillo, Javier, 2011. "The measurement of low- and high-impact in citation distributions: Technical results," Journal of Informetrics, Elsevier, vol. 5(1), pages 48-63.
    19. Woeginger, Gerhard J., 2008. "A symmetry axiom for scientific impact indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 298-303.
    20. Giovanni Dosi & Patrick Llerena & Mauro Sylos Labini, 2005. "Science-Technology-Industry Links and the ”European Paradox”: Some Notes on the Dynamics of Scientific and Technological Research in Europe," LEM Papers Series 2005/02, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    21. Henri Delanghe & Brian Sloan & Ugur Muldur, 2011. "European research policy and bibliometric indicators, 1990–2005," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(2), pages 389-398, May.
    22. Anthony F. J. van Raan, 2005. "Fatal attraction: Conceptual and methodological problems in the ranking of universities by bibliometric methods," Scientometrics, Springer;Akadémiai Kiadó, vol. 62(1), pages 133-143, January.
    23. Peter Weingart, 2005. "Impact of bibliometrics upon the science system: Inadvertent consequences?," Scientometrics, Springer;Akadémiai Kiadó, vol. 62(1), pages 117-131, January.
    24. Wolfgang Glänzel & András Schubert, 2003. "A new classification scheme of science fields and subfields designed for scientometric evaluation purposes," Scientometrics, Springer;Akadémiai Kiadó, vol. 56(3), pages 357-367, March.
    25. David A. King, 2004. "The scientific impact of nations," Nature, Nature, vol. 430(6997), pages 311-316, July.
    26. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May.
    27. Thed N. Van Leeuwen & Henk F. Moed & Robert J. W. Tijssen & Martijn S. Visser & Anthony F. J. Van Raan, 2001. "Language biases in the coverage of the Science Citation Index and its consequencesfor international comparisons of national research performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 51(1), pages 335-346, April.
    28. Alain Molinari & Jean-Francois Molinari, 2008. "Mathematical aspects of a new criterion for ranking scientific institutions based on the h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 75(2), pages 339-356, May.
    29. 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.
    30. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-327, July.
    31. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    Cited by:

    1. Neus Herranz & Javier Ruiz-Castillo, 2012. "Multiplicative and fractional strategies when journals are assigned to several subfields," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(11), pages 2195-2205, November.
    2. Lutz Bornmann & Klaus Wohlrabe, 2019. "Normalisation of citation impact in economics," Scientometrics, Springer;Akadémiai Kiadó, vol. 120(2), pages 841-884, August.
    3. Herranz, Neus & Ruiz-Castillo, Javier, 2012. "Sub-field normalization in the multiplicative case: Average-based citation indicators," Journal of Informetrics, Elsevier, vol. 6(4), pages 543-556.
    4. Rodríguez-Navarro, Alonso & Brito, Ricardo, 2018. "Double rank analysis for research assessment," Journal of Informetrics, Elsevier, vol. 12(1), pages 31-41.
    5. Javier Ruiz-Castillo, 2012. "The evaluation of citation distributions," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 291-310, March.
    6. Neus Herranz & Javier Ruiz-Castillo, 2013. "The end of the “European Paradox”," Scientometrics, Springer;Akadémiai Kiadó, vol. 95(1), pages 453-464, April.
    7. Brito, Ricardo & Rodríguez-Navarro, Alonso, 2018. "Research assessment by percentile-based double rank analysis," Journal of Informetrics, Elsevier, vol. 12(1), pages 315-329.
    8. Brito, Ricardo & Navarro, Alonso Rodríguez, 2021. "The inconsistency of h-index: A mathematical analysis," Journal of Informetrics, Elsevier, vol. 15(1).
    9. Campanario, Juan Miguel, 2015. "Providing impact: The distribution of JCR journals according to references they contribute to the 2-year and 5-year journal impact factors," Journal of Informetrics, Elsevier, vol. 9(2), pages 398-407.
    10. Lutz Bornmann & Werner Marx, 2014. "How to evaluate individual researchers working in the natural and life sciences meaningfully? A proposal of methods based on percentiles of citations," Scientometrics, Springer;Akadémiai Kiadó, vol. 98(1), pages 487-509, January.
    11. Abramo, Giovanni & D’Angelo, Ciriaco Andrea & Soldatenkova, Anastasiia, 2017. "An investigation on the skewness patterns and fractal nature of research productivity distributions at field and discipline level," Journal of Informetrics, Elsevier, vol. 11(1), pages 324-335.
    12. Banshal, Sumit Kumar & Gupta, Solanki & Lathabai, Hiran H & Singh, Vivek Kumar, 2022. "Power Laws in altmetrics: An empirical analysis," Journal of Informetrics, Elsevier, vol. 16(3).
    13. Bouyssou, Denis & Marchant, Thierry, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 183-199.

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    More about this item

    Keywords

    Citation analysis; Power law; Research performance; Poverty measurement; European paradox; O31; Y80; Z00;
    All these keywords.

    JEL classification:

    • A11 - General Economics and Teaching - - General Economics - - - Role of Economics; Role of Economists
    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • D60 - Microeconomics - - Welfare Economics - - - General
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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