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The Herrero-Villar approach to citation impact

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  • Albarrán, Pedro
  • Herrero, Carmen
  • Ruiz-Castillo, Javier
  • Villar, Antonio

Abstract

Scoring rules provide an evaluation of the impact of any research unit in a scientific field based upon a partition of the field citations into ordered categories, along with some external weighting system (the scores) to weigh those categories. Many important citation impact indicators widely used in practice can be formulated as scoring rules. This paper introduces a new ranking procedure &-the HV procedure, after Herrero & Villar (2013)&- that is not a scoring rule. Given a set of ordered categories, the HV procedure measures the relative performance of the different research units in terms of a series of tournaments in which each unit is repeatedly confronted with all others. Although the evaluation of each unit is relative to all other units, the HV method provides not only a ranking but also a cardinal evaluation of all units. Moreover, it does not need an external weighting scheme. Using a large dataset of publications in 22 scientific fields assigned to 40 countries, we compare the performance of several scoring rules &-the Relative Citation Rate, four percentile‐based ranking procedures, and two average‐based high‐impact indicators&- and the corresponding HV procedures under the same set of ordered categories. Comparisons take into account re‐rankings, and differences in the discriminatory power, measured by the coefficient of variation, the range, and the ratio between the maximum and minimum index values. Together with their interesting conceptual properties, our results show that HV procedures have good empirical properties.

Suggested Citation

  • Albarrán, Pedro & Herrero, Carmen & Ruiz-Castillo, Javier & Villar, Antonio, 2016. "The Herrero-Villar approach to citation impact," UC3M Working papers. Economics 23969, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:23969
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    Cited by:

    1. Rodríguez-Navarro, Alonso & Brito, Ricardo, 2018. "Double rank analysis for research assessment," Journal of Informetrics, Elsevier, vol. 12(1), pages 31-41.
    2. Carmen Herrero & Antonio Villar, 2022. "Sports competitions and the Break-Even rule," Working Papers 22.13, Universidad Pablo de Olavide, Department of Economics.
    3. Carmen Herrero & Antonio Villar, 2018. "The Balanced Worth: A Procedure to Evaluate Performance in Terms of Ordered Attributes," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 140(3), pages 1279-1300, December.
    4. Brito, Ricardo & Navarro, Alonso Rodríguez, 2021. "The inconsistency of h-index: A mathematical analysis," Journal of Informetrics, Elsevier, vol. 15(1).
    5. Carmen Herrero & Antonio Villar, 2019. "The Borda-Condorcet Social Evaluation Function," Working Papers 19.02, Universidad Pablo de Olavide, Department of Economics.
    6. Cristina Pita & Ramón J. Torregrosa, 2023. "The Education-Job Satisfaction Paradox in the Public Sector," Public Organization Review, Springer, vol. 23(4), pages 1717-1735, December.
    7. Carmen Herrero & Antonio Villar, 2022. "Pairwise contests: wins, losses, and strength," Working Papers 22.11, Universidad Pablo de Olavide, Department of Economics.

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