A novel bibliometric index with a simple geometric interpretation
Autor: | Mark Levene, Judit Bar-Ilan, Martyn Harris, Trevor Fenner |
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Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: |
Employment
Computer and Information Sciences Economics Social Sciences lcsh:Medicine Bibliometrics Research and Analysis Methods 050905 science studies Square (algebra) Mathematical and Statistical Techniques Citation analysis Statistics Humans Rectangle lcsh:Science Preprocessing Mathematics Multidisciplinary csis Careers Publications 05 social sciences lcsh:R Software Engineering Random Variables Research Assessment Probability Theory Computing Methods Research Personnel Small set Curve Fitting Nobel Prize Scholarly Communication Large set (Ramsey theory) Labor Economics Citation Analysis Physical Sciences Curve fitting Engineering and Technology lcsh:Q 0509 other social sciences 050904 information & library sciences Mathematical Functions Random variable Algorithms Research Article |
Zdroj: | PLoS ONE, Vol 13, Iss 7, p e0200098 (2018) PLoS ONE |
ISSN: | 1932-6203 |
Popis: | We propose the χ-index as a bibliometric indicator that generalises the h-index. While the h-index is determined by the maximum square that fits under the citation curve of an author when plotting the number of citations in decreasing order, the χ-index is determined by the maximum area rectangle that fits under the curve. The height of the maximum rectangle is the number of citations ck to the kth most-cited publication, where k is the width of the rectangle. The χ-index is then defined as [Formula: see text], for convenience of comparison with the h-index and other similar indices. We present a comprehensive empirical comparison between the χ-index and other bibliometric indices, focusing on a comparison with the h-index, by analysing two datasets-a large set of Google Scholar profiles and a small set of Nobel prize winners. Our results show that, although the χ and h indices are strongly correlated, they do exhibit significant differences. In particular, we show that, for these data sets, there are a substantial number of profiles for which χ is significantly larger than h. Furthermore, restricting these profiles to the cases when ck > k or ck < k corresponds to, respectively, classifying researchers as either tending to influential, i.e. having many more than h citations, or tending to prolific, i.e. having many more than h publications. |
Databáze: | OpenAIRE |
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