Universality of Performance Indicators based on Citation and Reference Counts
arXiv:1110.3271 · doi:10.1007/s11192-012-0694-9
Abstract
We find evidence for the universality of two relative bibliometric indicators of the quality of individual scientific publications taken from different data sets. One of these is a new index that considers both citation and reference counts. We demonstrate this universality for relatively well cited publications from a single institute, grouped by year of publication and by faculty or by department. We show similar behaviour in publications submitted to the arXiv e-print archive, grouped by year of submission and by sub-archive. We also find that for reasonably well cited papers this distribution is well fitted by a lognormal with a variance of around 1.3 which is consistent with the results of Radicchi, Fortunato, and Castellano (2008). Our work demonstrates that comparisons can be made between publications from different disciplines and publication dates, regardless of their citation count and without expensive access to the whole world-wide citation graph. Further, it shows that averages of the logarithm of such relative bibliometric indices deal with the issue of long tails and avoid the need for statistics based on lengthy ranking procedures.
15 pages, 14 figures, 11 pages of supplementary material. Submitted to Scientometrics
References in corpus (4)
Cited by in corpus (17)
- Regression for citation data: An evaluation of different methods
- The discretised lognormal and hooked power law distributions for complete citation data: Best options for modelling and regression
- Growing complex network of citations of scientific papers -- measurements and modeling
- Transitive Reduction of Citation Networks
- Modelling Citation Networks
- The precision of the arithmetic mean, geometric mean and percentiles for citation data: An experimental simulation modelling approach
- Power-law citation distributions are not scale-free
- National, disciplinary and temporal variations in the extent to which articles with more authors have more impact: Evidence from a geometric field normalised citation indicator
- What is the dimension of citation space?
- Citation count distributions for large monodisciplinary journals
- The inconsistency of h-index: a mathematical analysis
- Research assessment by percentile-based double rank analysis
- Modeling the coevolution between citations and coauthorships in scientific papers
- Anomalous diffusion in the citation time series of scientific publications
- Confidence intervals for normalised citation counts: Can they delimit underlying research capability?
- Big Missing Data: are scientific memes inherited differently from gendered authorship?
- Fractional stochastic model of citation dynamics with memory and volatility