The inconsistency of h-index: A mathematical analysis
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DOI: 10.1016/j.joi.2020.101106
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- Michael J. Stringer & Marta Sales‐Pardo & Luís A. Nunes Amaral, 2010. "Statistical validation of a global model for the distribution of the ultimate number of citations accrued by papers published in a scientific journal," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 61(7), pages 1377-1385, July.
- Albarrán, Pedro & Herrero, Carmen & Ruiz-Castillo, Javier & Villar, Antonio, 2017.
"The Herrero-Villar approach to citation impact,"
Journal of Informetrics, Elsevier, vol. 11(2), pages 625-640.
- Albarrán, Pedro & Herrero, Carmen & Villar, Antonio, 2016. "The Herrero-Villar approach to citation impact," UC3M Working papers. Economics 23969, Universidad Carlos III de Madrid. Departamento de EconomÃa.
- Bornmann, Lutz & Mutz, Rüdiger & Hug, Sven E. & Daniel, Hans-Dieter, 2011. "A multilevel meta-analysis of studies reporting correlations between the h index and 37 different h index variants," Journal of Informetrics, Elsevier, vol. 5(3), pages 346-359.
- Rodríguez-Navarro, Alonso & Brito, Ricardo, 2018. "Double rank analysis for research assessment," Journal of Informetrics, Elsevier, vol. 12(1), pages 31-41.
- Loet Leydesdorff & Lutz Bornmann & Rüdiger Mutz & Tobias Opthof, 2011.
"Turning the tables on citation analysis one more time: Principles for comparing sets of documents,"
Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 62(7), pages 1370-1381, July.
- Loet Leydesdorff & Lutz Bornmann & Rüdiger Mutz & Tobias Opthof, 2011. "Turning the tables on citation analysis one more time: Principles for comparing sets of documents," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(7), pages 1370-1381, July.
- Chrisovalantis Malesios, 2015. "Some variations on the standard theoretical models for the h-index: A comparative analysis," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 66(11), pages 2384-2388, November.
- Wang, Jian & Veugelers, Reinhilde & Stephan, Paula, 2017.
"Bias against novelty in science: A cautionary tale for users of bibliometric indicators,"
Research Policy, Elsevier, vol. 46(8), pages 1416-1436.
- Jian Wang & Reinhilde Veugelers & Paula Stephan, 2015. "Bias against novelty in science: A cautionary tale for users of bibliometric indicators," Working Papers of Department of Management, Strategy and Innovation, Leuven 520305, KU Leuven, Faculty of Economics and Business (FEB), Department of Management, Strategy and Innovation, Leuven.
- Veugelers, Reinhilde & wang, jian & Stephan, Paula, 2016. "Bias against Novelty in Science: A Cautionary Tale for Users of Bibliometric Indicators," CEPR Discussion Papers 11228, C.E.P.R. Discussion Papers.
- Jian Wang & Reinhilde Veugelers & Paula Stephan, 2016. "Bias against Novelty in Science: A Cautionary Tale for Users of Bibliometric Indicators," NBER Working Papers 22180, National Bureau of Economic Research, Inc.
- Maziar Montazerian & Edgar Dutra Zanotto & Hellmut Eckert, 2019. "A new parameter for (normalized) evaluation of H-index: countries as a case study," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(3), pages 1065-1078, March.
- Vîiu, Gabriel-Alexandru, 2018. "The lognormal distribution explains the remarkable pattern documented by characteristic scores and scales in scientometrics," Journal of Informetrics, Elsevier, vol. 12(2), pages 401-415.
- Michael J. Stringer & Marta Sales-Pardo & Luís A. Nunes Amaral, 2010. "Statistical validation of a global model for the distribution of the ultimate number of citations accrued by papers published in a scientific journal," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(7), pages 1377-1385, July.
- Lutz Bornmann & Loet Leydesdorff, 2018. "Count highly-cited papers instead of papers with h citations: use normalized citation counts and compare “like with like”!," Scientometrics, Springer;Akadémiai Kiadó, vol. 115(2), pages 1119-1123, May.
- Michael H. MacRoberts & Barbara R. MacRoberts, 2018. "The mismeasure of science: Citation analysis," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 69(3), pages 474-482, March.
- Lutz Bornmann, 2013.
"What is societal impact of research and how can it be assessed? a literature survey,"
Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 64(2), pages 217-233, February.
- Lutz Bornmann, 2013. "What is societal impact of research and how can it be assessed? a literature survey," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 64(2), pages 217-233, February.
- Giovanni Abramo & Ciriaco Andrea D’Angelo, 2014. "How do you define and measure research productivity?," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(2), pages 1129-1144, November.
- Thelwall, Mike, 2016. "Citation count distributions for large monodisciplinary journals," Journal of Informetrics, Elsevier, vol. 10(3), pages 863-874.
- Dag W. Aksnes & Liv Langfeldt & Paul Wouters, 2019. "Citations, Citation Indicators, and Research Quality: An Overview of Basic Concepts and Theories," SAGE Open, , vol. 9(1), pages 21582440198, February.
- Stevan Harnad, 2009. "Open access scientometrics and the UK Research Assessment Exercise," Scientometrics, Springer;Akadémiai Kiadó, vol. 79(1), pages 147-156, April.
- Lutz Bornmann & Julian N. Marewski, 2019. "Heuristics as conceptual lens for understanding and studying the usage of bibliometrics in research evaluation," Scientometrics, Springer;Akadémiai Kiadó, vol. 120(2), pages 419-459, August.
- 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.
- 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.
- Ruiz-Castillo, Javier, 2011. "The Evaluation of Citation Distributions," CEPR Discussion Papers 8681, C.E.P.R. Discussion Papers.
- Thelwall, Mike & Wilson, Paul, 2014. "Distributions for cited articles from individual subjects and years," Journal of Informetrics, Elsevier, vol. 8(4), pages 824-839.
- T. S. Evans & N. Hopkins & B. S. Kaube, 2012. "Universality of performance indicators based on citation and reference counts," Scientometrics, Springer;Akadémiai Kiadó, vol. 93(2), pages 473-495, November.
- Thelwall, Mike & Wilson, Paul, 2014. "Regression for citation data: An evaluation of different methods," Journal of Informetrics, Elsevier, vol. 8(4), pages 963-971.
- V. A. Traag & L. Waltman, 2019. "Systematic analysis of agreement between metrics and peer review in the UK REF," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-12, December.
- Alonso Rodríguez-Navarro & Ricardo Brito, 2020. "Like-for-like bibliometric substitutes for peer review: Advantages and limits of indicators calculated from the ep index," Research Evaluation, Oxford University Press, vol. 29(2), pages 215-230.
- Ludo Waltman & Nees Jan van Eck, 2012. "The inconsistency of the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(2), pages 406-415, February.
- Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
- Ludo Waltman & Nees Jan van Eck, 2012. "The inconsistency of the h‐index," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 63(2), pages 406-415, February.
- 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.
- Lutz Bornmann & Rüdiger Mutz & Hans‐Dieter Daniel, 2009. "Do we need the h index and its variants in addition to standard bibliometric measures?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 60(6), pages 1286-1289, June.
- 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.
- Lutz Bornmann & Robin Haunschild, 2017. "Does evaluative scientometrics lose its main focus on scientific quality by the new orientation towards societal impact?," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(2), pages 937-943, February.
- Thelwall, Mike, 2016. "The precision of the arithmetic mean, geometric mean and percentiles for citation data: An experimental simulation modelling approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 110-123.
- Anthony F. J. Raan, 2006. "Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgment for 147 chemistry research groups," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(3), pages 491-502, June.
- Lucio Bertoli-Barsotti & Tommaso Lando, 2017. "A theoretical model of the relationship between the h-index and other simple citation indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 111(3), pages 1415-1448, June.
- Brito, Ricardo & Rodríguez-Navarro, Alonso, 2018. "Research assessment by percentile-based double rank analysis," Journal of Informetrics, Elsevier, vol. 12(1), pages 315-329.
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Cited by:
- Katchanov, Yurij L. & Markova, Yulia V. & Shmatko, Natalia A., 2023. "Uncited papers in the structure of scientific communication," Journal of Informetrics, Elsevier, vol. 17(2).
- Amodio, Pierluigi & Brugnano, Luigi & Scarselli, Filippo, 2021. "Implementation of the PaperRank and AuthorRank indices in the Scopus database," Journal of Informetrics, Elsevier, vol. 15(4).
- Gangan Prathap, 2021. "Letter to the editor: Is the h-index a mock compromise between the p-index and the z-index?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4537-4539, May.
- Yang, Alex Jie & Wu, Linwei & Zhang, Qi & Wang, Hao & Deng, Sanhong, 2023. "The k-step h-index in citation networks at the paper, author, and institution levels," Journal of Informetrics, Elsevier, vol. 17(4).
- Cena, Anna & Gagolewski, Marek & Siudem, Grzegorz & Żogała-Siudem, Barbara, 2022. "Validating citation models by proxy indices," Journal of Informetrics, Elsevier, vol. 16(2).
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Keywords
h index; Research assessment; Citation; Lognormal distribution;All these keywords.
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