Department of Computer Science and Information Systems, University of London, London WC1E 7HX, United Kingdom.
Department of Information Science, Bar-Ilan University, Ramat Gan, Israel.
PLoS One. 2018 Jul 10;13(7):e0200098. doi: 10.1371/journal.pone.0200098. eCollection 2018.
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.
我们提出 χ 指数作为一种文献计量指标,它可以将 h 指数推广。当按照引文数量降序绘制引文曲线时,h 指数由最大的正方形决定,该正方形适合于作者的引文曲线。而 χ 指数由最大的矩形面积决定,该矩形适合于曲线。矩形的高度是第 k 篇最被引文献之后的 ck 篇文献的引用数量,其中 k 是矩形的宽度。然后,χ 指数被定义为 [公式:见正文],为了方便与 h 指数和其他类似指标进行比较。我们通过分析两个数据集——一个大型的 Google Scholar 个人资料数据集和一个小型的诺贝尔奖获得者数据集,对 χ 指数和其他文献计量指标进行了全面的实证比较,重点是与 h 指数的比较。我们的结果表明,尽管 χ 和 h 指数高度相关,但它们确实存在显著差异。特别是,我们表明,对于这些数据集,有大量的个人资料,其 χ 值明显大于 h 值。此外,将这些个人资料限制在 ck > k 或 ck < k 的情况下,分别将研究人员归类为倾向于有影响力的,即有比 h 更多的引文,或倾向于多产的,即有比 h 更多的出版物。
PLoS One. 2018-7-10
PLoS One. 2014-12-26
PLoS One. 2020-5-29
Naunyn Schmiedebergs Arch Pharmacol. 2024-9
PLoS One. 2016-9-14
Sci Transl Med. 2011-5-25
Proc Natl Acad Sci U S A. 2005-11-15