The discretised lognormal and hooked power law distributions for complete citation data: Best options for modelling and regression

Journal of Informetrics

Volumn 10, Issue 2, 2016, Pages 336-346

  Thelwall, Mike ^a  

^a UNIVERSITY OF WOLVERHAMPTON   (United Kingdom)

Author keywords

Citation analysis; Citation distributions; Discretised lognormal distribution; Hooked power law; Scientometrics; Shifted power law

Indexed keywords

NATURAL SCIENCES; REGRESSION ANALYSIS;

CITATION ANALYSIS; CITATION DISTRIBUTION; LOG-NORMAL DISTRIBUTION; POWER-LAW; SCIENTOMETRICS;

CODES (SYMBOLS);

EID: 84959360493     PISSN: 17511577     EISSN: 18755879     Source Type: Journal    
DOI: 10.1016/j.joi.2015.12.007     Document Type: Article

References (46)

1. Adams J. Early citation counts correlate with accumulated impact. Scientometrics 2005, 63(3):567-581.
2. Ajiferuke I., Famoye F. Modelling count response variables in informetric studies: Comparison among count, linear, and lognormal regression models. Journal of Informetrics 2015, 9(3):499-513.
3. Archambault É., Vignola-Gagne É., Côté G., Larivière V., Gingras Y. Benchmarking scientific output in the social sciences and humanities: The limits of existing databases. Scientometrics 2006, 68(3):329-342.
4. Braun T., Glänzel W., Schubert A. Scientometric indicators: A 32 country comparative evaluation of publishing performance and citation impact 1985, World Scientific, Philadelphia, PA.
5. Brzezinski M. Power laws in citation distributions: Evidence from Scopus. Scientometrics 2015, 103(1):213-228.
6. Chandy P.R., Williams T.G. The impact of journals and authors on international business research: A citational analysis of JIBS articles. Journal of International Business Studies 1994, 715-728.
7. Charlton B.G., Andras P. Evaluating universities using simple scientometric research-output metrics: Total citation counts per university for a retrospective seven-year rolling sample. Science and Public Policy 2007, 34(8):555-563.
8. Clauset A., Shalizi C.R., Newman M.E. Power-law distributions in empirical data. SIAM Review 2009, 51(4):661-703.
9. de Solla Price D.J. Networks of scientific papers. Science 1965, 149:510-515.
10. de Solla Price D.J. A general theory of bibliometric and other cumulative advantage processes. Journal of the American Society for Information Science 1976, 292-306.
11. Didegah F., Thelwall M. Which factors help authors produce the highest impact research? Collaboration. Journal and document properties, Journal of Informetrics 2013, 7(4):861-873.
12. Dorogovtsev S.N., Mendes J.F.F., Samukhin A.N. Structure of growing networks with preferential linking. Physical Review Letters 2000, 85(21):4633.
13. Eom Y.H., Fortunato S. Characterizing and modeling citation dynamics. PLoS ONE 2011, 6(9):e24926.
14. Evans T.S., Hopkins N., Kaube B.S. Universality of performance indicators based on citation and reference counts. Scientometrics 2012, 93:473-495.
15. Fairclough R., Thelwall M. More precise methods for national research citation impact comparisons. Journal of Informetrics 2015, 9(4):895-906.
16. Fairclough R., Thelwall M. National research impact indicators from Mendeley readers. Journal of Informetrics 2015, 9(4):845-859.
17. Garanina O.S., Romanovsky M.Y. Citation distribution of individual scientist: Approximations of stretch exponential distribution with power law tails. Proceedings of ISSI 2015 2015, 272-277. Bogaziçi University Printhouse, Istanbul, Turkey. A.A. Salah, Y. Tonta, A.A. Akdag Salah, C. Sugimoto, U. Al (Eds.).
18. Gazni A., Didegah F. Investigating different types of research collaboration and citation impact: A case study of Harvard University's publications. Scientometrics 2011, 87(2):251-265.
19. Glänzel W., Schubert A., Czerwon H.J. A bibliometric analysis of international scientific cooperation of the European Union (1985-1995). Scientometrics 1999, 45(2):185-202.
20. Hanssen T.E.S., Jørgensen F. The value of experience in research. Journal of Informetrics 2015, 9(1):16-24.
21. Harnad S., Brody T. Comparing the impact of open access (OA) vs. non-OA articles in the same journals. D-lib Magazine 2004, 10(6). 〈http://www.dlib.org/dlib/june04/harnad/06harnad.html〉.
22. Hellqvist B. Referencing in the humanities and its implications for citation analysis. Journal of the American Society for Information Science and Technology 2010, 61(2):310-318.
23. Hicks D. The difficulty of achieving full coverage of international social science literature and the bibliometric consequences. Scientometrics 1999, 44(2):193-215.
24. Hirsch J.E. An index to quantify an individual's scientific research output. Proceedings of the National academy of Sciences of the United States of America 2005, 102(46):16569-16572.
25. Levene M., Fenner T., Loizou G., Wheeldon R. A stochastic model for the evolution of the web. Computer Networks 2002, 39(3):277-287.
26. Low W.J., Thelwall M., Wilson P. Stopped sum models for citation data. Proceedings of ISSI 2015 Istanbul: 15th international society of scientometrics and informetrics conference 2015, 184-194. A.A. Salah, Y. Tonta, A.A. Akdag Salah, C. Sugimoto, U. Al (Eds.).
27. McCabe M.J., Snyder C.M. Does online availability increase citations? Theory and evidence from a panel of economics and business journals. Review of Economics and Statistics 2015, 97(1):144-165.
28. Meho L.I., Yang K. Impact of data sources on citation counts and rankings of LIS faculty: Web of Science versus Scopus and Google Scholar. Journal of the American Society for Information Science and Technology 2007, 58(13):2105-2125.
29. Merton R.K. The Matthew effect in science. Science 1968, 159(3810):56-63.
30. Ngah Z.A., Goi S.S. Characteristics of citations used by humanities researchers. Malaysian Journal of Library & Information Science 1997, 2(2):19-36.
31. O'Hara R.B., Kotze D.J. Do not log-transform count data. Methods in Ecology and Evolution 2010, 1(2):118-122.
32. Onodera N., Yoshikane F. Factors affecting citation rates of research articles. Journal of the Association for Information Science and Technology 2015, 66(4):739-764.
33. Oppenheim C. The correlation between citation counts and the 1992 Research Assessment Exercise Ratings for British library and information science university departments. Journal of Documentation 1995, 51(1):18-27.
34. Pennock D.M., Flake G.W., Lawrence S., Glover E.J., Giles C.L. Winners don't take all: Characterizing the competition for links on the web. Proceedings of the national academy of sciences 2002, 99(8):5207-5211.
35. Radicchi F., Fortunato S., Castellano C. Universality of citation distributions: Toward an objective measure of scientific impact. Proceedings of the National Academy of Sciences of the United States of America 2008, 105(45):17268-17272.
36. Redner S. How popular is your paper? An empirical study of the citation distribution. The European Physical Journal B-Condensed Matter and Complex Systems 1998, 4(2):131-134.
37. Thelwall M., Wilson P. Distributions for cited articles from individual subjects and years. Journal of Informetrics 2014, 8(4):824-839.
38. Thelwall M., Wilson P. Regression for citation data: An evaluation of different methods. Journal of Informetrics 2014, 8(4):963-971.
39. Thelwall M., Wilson P. Mendeley readership altmetrics for medical articles: An analysis of 45 fields. Journal of the Association for Information Science and Technology 2015, (in press). 10.1002/asi.23501.
40. Thelwall M. The precision of the arithmetic mean, geometric mean and percentiles for citation data: A simulation approach. Journal of Informetrics 2016, (in press). 10.1016/j.joi.2015.12.001.
41. van Leeuwen T., Moed H., Tijssen R., Visser M., Van Raan A. Language biases in the coverage of the Science Citation Index and its consequences for international comparisons of national research performance. Scientometrics 2001, 51(1):335-346.
42. van Raan A.F. Two-step competition process leads to quasi power-law income distributions: Application to scientific publication and citation distributions. Physica A: Statistical Mechanics and its Applications 2001, 298(3):530-536.
43. van Raan A.F. Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgment for 147 chemistry research groups. Scientometrics 2006, 67(3):491-502.
44. Vuong Q.H. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica: Journal of the Econometric Society 1989, 57(2):307-333.
45. Waltman L., van Eck N.J., van Leeuwen T.N., Visser M.S., van Raan A.F. Towards a new crown indicator: Some theoretical considerations. Journal of Informetrics 2011, 5(1):37-47.
46. Yu T., Yu G., Li P.Y., Wang L. Citation impact prediction for scientific papers using stepwise regression analysis. Scientometrics 2014, 101(2):1233-1252.