Comparative study of scaling parameters and research output of selected highly- and moderately-cited individual authors

Keshra Sangwal

doi:10.35784/jcsi.2920

Open full text

PDF

Published: Jun 30, 2022

DOI: https://doi.org/10.35784/jcsi.2920

DOI

https://doi.org/10.35784/jcsi.2920

Authors

Keshra Sangwal

k.sangwal@pollub.pl

Lublin University of Technology

Abstract

The real data of cumulative citations l_n of selected nth paper of individual N papers published by some highly- and moderately-cited individual authors are analyzed to compare Hirsch and Hirsch-type indices h, h₁, h_f and h_m, and citation radii R and R_f from consideration of: (1) the number A_n of coauthors of the paper, (2) the normalization of citations l_n and cumulative fraction l_n_f of citation of the nth paper by mean and median citations of the citations l_n of all N_c cited papers, and (3) the determination of effective rank n_eff of the l_n_f citations. Analysis of the l_n(n), l_n_f(n) and l_n_f(n_eff) data was also carried out by using a Langmuir-type function l = l₀[1-aKn/(1+Kn)], where l denotes the citations l_n and l_n_f of all cited N_c papers arranged in the decreasing order, a is an effectiveness parameter, K is the so-called Langmuir constant, n denotes the rank n or n_eff of citations and l₀ is the value of l when n or n_eff approaches zero. For a comparison of the publication output of different authors it was found that the h_m index is more consistent than other indices, and it can be normalized to account for the publication career of different authors. However, Langmuir-type function is not adequate for comparison of the publication output of different authors because it describes the rank-order distribution patterns satisfactorily in terms of two parameters. To compare the publication output of different authors independent of their career length t, it is suggested to use scaling parameters h/t, h_f/t and h_m/t.

Keywords:

Citation analysis; Citation distribution; Coauthorship; h-type indices; Langmuir-type function

References

J.E. Hirsch, An index to quantify an individual’s scientific research output, Proceedings of the National academy of Sciences of the United States of America 102(46) (2005) 16569-16572. DOI: https://doi.org/10.1073/pnas.0507655102

M. Kosmulski, A new Hirsch-type index saves time and works equally well as the original h-index, ISSI Newsletter 2(3) (2006) 4-6.

B. Jin, L. Liang, R. Rousseau, L. Egghe, The R- and AR-indices: complementing the h-index, Chinese Sci-ence Bulletin 52(6) (2007) 855-863. DOI: https://doi.org/10.1007/s11434-007-0145-9

S. Alonso, F. Cabrerizo, E. Herrera-Viedma, F. Herrera, h-index: A review focused in its variants, computation and standardization for different scientific fields, Journal of Informetrics 3(4) (2009) 273-280. DOI: https://doi.org/10.1016/j.joi.2009.04.001

T.R. Anderson, R.K.S. Hankin, P.D. Killworth, Beyond the Durfee square: Enhancing the h-index to score total publication output, Scientometrics 76(3) (2008) 577-588. DOI: https://doi.org/10.1007/s11192-007-2071-2

Q.L. Burrell, On Hirsch’s h, Egghe’s g and Kosmulski’s h(2). Scientometrics 79(1) (2009) 79-91. DOI: https://doi.org/10.1007/s11192-009-0405-3

L. Egghe, Characteristic scores and scales based on h-type indices. Journal of Informetrics 4(1) (2010) 14–22. DOI: https://doi.org/10.1016/j.joi.2009.06.001

F. Franceschini, D. Maisano, The Hirsch spectrum: a novel tool for analyzing scientific journals, Journal of Informetrics 4(1) (2010) 64-73. DOI: https://doi.org/10.1016/j.joi.2009.08.003

F. Franceschini, D. Maisano, The citation triad: an overview of a scientist’s publication output based on Ferrers diagrams, Journal of Informetrics 4(4) (2010) 503-511. DOI: https://doi.org/10.1016/j.joi.2010.05.004

W. Glänzel, A. Schubert, Hirsch-type characteristics of the tail of distributions. The generalized h-index, Journal of Informetrics 4(1) (2010) 118-123. DOI: https://doi.org/10.1016/j.joi.2009.10.002

A. Tietze, P. Hofmann, The h-index and multi-author hm-index for individual researchers in condensed matter physics, Scientometrics 119 (2019) 171-185. DOI: https://doi.org/10.1007/s11192-019-03051-w

M. Ameer, M.T. Afzal, Evaluation of h-index and its qualitative and quantitative variants in Neuroscience, Scientometrics 121 (2019) 653-673. DOI: https://doi.org/10.1007/s11192-019-03209-6

S. Li, H. Shen, P. Bao, X, Cheng, hu-index: a unified index to quantify individuals across disciplines, Scientometrics 126 (2021) 3209-3226. DOI: https://doi.org/10.1007/s11192-021-03879-1

M. Kosmulski, New seniority-independent Hirsh-type index, Journal of Informetrics 3(4) (2009) 341-347. DOI: https://doi.org/10.1016/j.joi.2009.05.003

H.A. Abt, A publication index that is independent of age, Scientometrics 91(3) (2011) 1053-1058.

R. Mannella, P. Rossi, On the time dependence of the h-index, Journal of Informetrics 7(1) (2013) 176-182. DOI: https://doi.org/10.1016/j.joi.2012.10.003

D. Pradhan, P.S. Paul, U. Maheswari, S. Nandi, T. Chakraborty, C3-index: a PageRank based multi-faceted metric for authors’ performance measurement, Scientometrics 110 (2017) 253–273. DOI: https://doi.org/10.1007/s11192-016-2168-y

P.D. Batista, M.G. Campiteli, O. Kinouchi, & A.S. Martinez, Is it possible to compare researchers with different scientific interests?, Scientometrics 68(1) (2006) 179-189. DOI: https://doi.org/10.1007/s11192-006-0090-4

M. Ausloos, A simple law about co-authors and their ranking: The co-author core, Scientometrics 95(3) (2013) 895-909 DOI: https://doi.org/10.1007/s11192-012-0936-x

D.D.S. Price, Multiple authorship, Science 212(4498) (1981) 986. DOI: https://doi.org/10.1126/science.212.4498.986.b

S.E. Hodge, D.A. Greenberg, Publication credit, Science 212(4498) (1981) 950. DOI: https://doi.org/10.1126/science.213.4511.950.b

P. Vinkler, Research contribution, authorship and team cooperativeness, Scientometrics 26(1) (1993) 213-230. DOI: https://doi.org/10.1007/BF02016801

A.F. Pereira de Araújo, Increasing discrepancy between absolute and effective indexes of research output in a Brazilian academic department, Scientometrics 74(3) (2008) 425-437. DOI: https://doi.org/10.1007/s11192-007-1817-6

N. Assimakis, M. Adam, A new author’s productivity index: p-index, Scientometrics 85(2) (2010) 415-427. DOI: https://doi.org/10.1007/s11192-010-0255-z

R.S.J. Tol, Credit where credit’s due: accounting for co-authorship in citation counts, Scientometrics 89(1) (2011) 291-299. DOI: https://doi.org/10.1007/s11192-011-0451-5

S. Sahoo, Analyzing research performance: proposition of a new complementary index, Scientometrics 108(2) (2016) 489-504. DOI: https://doi.org/10.1007/s11192-016-1988-0

J.-W. Hsu, D.-W. Huang, Correlation between impact and collaboration, Scientometrics 86(1) (2011) 317-324. DOI: https://doi.org/10.1007/s11192-010-0265-x

M. Kosmulski, The order in the lists of authors in multi-author papers revisited, Journal of Informetrics 6(4) (2012) 639-644. DOI: https://doi.org/10.1016/j.joi.2012.06.006

C.H. Sekercioglu, Quantifying coauthor contributions, Science 322(5900) (2008) 371. DOI: https://doi.org/10.1126/science.322.5900.371a

N.T. Hagen, Credit for coauthors, Science 323(5914) (2009) 583. DOI: https://doi.org/10.1126/science.323.5914.583a

N.T. Hagen, Harmonic publication and citation count-ing: sharing authorship credit equitably – not equally, geometrically or arithmetically, Scientometrics 84(3) (2010) 785-793. DOI: https://doi.org/10.1007/s11192-009-0129-4

N.T. Hagen, Harmonic coauthor credit: A parsimonious quantification of the byline hierarchy, Journal of Informetrics 7(3) (2013) 784-793. DOI: https://doi.org/10.1016/j.joi.2013.06.005

C.T. Zhang, A proposal for calculating weighted cita-tions based on author rank, EMBO Reports 10(5) (2009) 416-417. DOI: https://doi.org/10.1038/embor.2009.74

I. Podlubny, Comparison of scientific impact expressed by the number of citations in different fields of science, Scientometrics 64(1) (2005) 95-99. DOI: https://doi.org/10.1007/s11192-005-0240-0

J.E. Iglesias, C. Pecharroman, Scaling the h-index for different scientific ISI fields, Scientometrics 73(3) (2007) 303-320. DOI: https://doi.org/10.1007/s11192-007-1805-x

J. Lundberg, Lifting the crown – Citation z-score, Journal of Informetrics 1(2) (2007) 145-154. DOI: https://doi.org/10.1016/j.joi.2006.09.007

F. Radicchi, S., Fortunado, C. Castellano, Universality of citation distributions: Towards an objective measure of scientific impact, Proceedings of the National academy of Sciences of the United States of America 105(45) (2008) 17268–17272. DOI: https://doi.org/10.1073/pnas.0806977105

G. Abramo, T. Cicero, C.A. D’Angelo, Revisiting the scaling of citations for research assessment, Journal of Informetrics 6(3) (2012) 420-479. DOI: https://doi.org/10.1016/j.joi.2012.03.005

L. Bornmann, H.-D. Daniel, Universality of citation distribution – a validation of Radicchi et al.’s relative indicator cf = c/c0 at the micro level using data from chemistry, Journal of the American Society for Infor-mation Science and Technology 60(8) (2009) 1664-1670. DOI: https://doi.org/10.1002/asi.21076

J.E. Hirsch, An index to quantify an individual’s scientific research output that takes into account the effect of multiple coauthorship, Scientometrics 85(3) (2010) 741-754. DOI: https://doi.org/10.1007/s11192-010-0193-9

L. Egghe, Mathematical theory of the h- and g-index in case of fractional counting of authorship, Journal of the American Society for Information Science and Technology 59(10) (2008) 1608-1616. DOI: https://doi.org/10.1002/asi.20845

M. Schreiber, A modification of the h-index: The hm-index accounts for multi-authored manuscripts, Journal of Informetrics 2(3) (2008) 211-216. DOI: https://doi.org/10.1016/j.joi.2008.05.001

M. Schreiber, A case study of the modified Hirsch index hm accounting for multiple co-authors, Journal of the American Society for Information Science and Technology 60(6) (2009) 1274-1282. DOI: https://doi.org/10.1002/asi.21057

G. Abramo, C.A. D’Angelo, F. Rosati, The importance of accounting for the number of co-authors and their order when assessing research performance at the individual level in the life sciences, Journal of Informetrics 7 (2013) 198-208. DOI: https://doi.org/10.1016/j.joi.2012.11.003

M. Dunaiski, J. Geldenhuys, W. Visser, Author ranking evaluation at scale, Journal of Informetrics 12 (2018) 679-702. DOI: https://doi.org/10.1016/j.joi.2018.06.004

M. Salman, M.M. Ahmed, M.T. Afzal, Assessment of author ranking indices based on multi-authorship, Scientometrics 126 (2021) 4153-4172. DOI: https://doi.org/10.1007/s11192-021-03906-1

L. Egghe, A rationale for the Hirsch-index rank-order distrubtion and a comparison with the impact factor rank-order distribution, Journal of the American Society for Information Science and Technology 60(10) (2009) 2142-2144. DOI: https://doi.org/10.1002/asi.21121

L. Egghe, R. Rousseau, An informetric model for the Hirsch-index, Scientometrics 69(1), (2006) 121-129. DOI: https://doi.org/10.1007/s11192-006-0143-8

L. Egghe, R. Rousseau, The Hirsch index of a shifted Lotka function and its relation with the impact factor, Journal of the American Society for Information Sci-ence and Technology 63(5) (2012) 1048-1053. DOI: https://doi.org/10.1002/asi.22617

K. Sangwal, Comparison of different mathematical functions for the analysis of citation distribution of papers of individual authors, Journal of Informetrics 7(1) (2013) 36-49. DOI: https://doi.org/10.1016/j.joi.2012.09.002

Q.L. Burrell, Formulae for the h-index: A lack of ro-bustness in Lotkaian informetrics?, Journal of the American Society for Information Science and Tech-nology 64(7) (2013) 1507-1514. DOI: https://doi.org/10.1002/asi.22845

K. Sangwal, Citation and impact factor distributions of scientific journals published in individual countries, Journal of Informetrics 7(3) (2013) 487-504. DOI: https://doi.org/10.1016/j.joi.2013.01.011

K. Sangwal, Distributions of citation of papers of indi-vidual authors publishing in different scientific disci-plines: Application of Langmuir-type function, Journal of Informetrics 8(4) (2014) 972-984. DOI: https://doi.org/10.1016/j.joi.2014.09.009

K.Y. Chuang, Y.S. Ho, Bibliometric profile of top-cited single-author articles in the Science Citation Index Expanded, Journal of Informetrics 8(4) (2014) 951-962. DOI: https://doi.org/10.1016/j.joi.2014.09.008

Q.L. Burrell, Hirsch’s h-index: A stochastic model, Journal of Informetrics 1(1) (2007) 16-25. DOI: https://doi.org/10.1016/j.joi.2006.07.001

Q.L. Burrell, The h-index: A case of the tail wagging the dog?, Journal of Informetrics 7(3) (2013) 774-783. DOI: https://doi.org/10.1016/j.joi.2013.06.004

K. Sangwal, On the relationship between citations of publication output and Hirsch index h of authors: conceptualization of tapered Hirsch index hT, circular citation area radius R and citation acceleration a, Scientometrics 93(3) (2012) 987-1004. DOI: https://doi.org/10.1007/s11192-012-0805-7

K. Sangwal, On the age-independent publication index, Scientometrics 91(3) (2012) 1053-1058 DOI: https://doi.org/10.1007/s11192-012-0628-6

Sangwal, K. (2022). Comparative study of scaling parameters and research output of selected highly- and moderately-cited individual authors . Journal of Computer Sciences Institute, 23, 152–164. https://doi.org/10.35784/jcsi.2920

Article Sidebar

Main Article Content

DOI

Authors

Abstract

Keywords:

References

Article Details

License