hα: An index to quantify an individual’s scientific leadership
- 373 Downloads
The \(\alpha\) person is the dominant person in a group. We define the \(\alpha\)-author of a paper as the author of the paper with the highest h-index among all the coauthors, and an \(\alpha\)-paper of a scientist as a paper authored or coauthored by the scientist where he/she is the \(\alpha\)-author. For most but not all papers in the literature there is only one \(\alpha\)-author. We define the \(h_\alpha\) index of a scientist as the number of papers in the h-core of the scientist (i.e. the set of papers that contribute to the h-index of the scientist) where this scientist is the \(\alpha\)-author. We also define the \(h'_\alpha\) index of a scientist as the number of \(\alpha\)-papers of this scientist that have \(\ge\)\(h'_\alpha\) citations. \(h_\alpha\) and \(h'_\alpha\) contain similar information, while \(h'_\alpha\) is conceptually more appealing it is harder to obtain from existing databases, hence of less current practical interest. We propose that the \(h_\alpha\) and/or \(h'_\alpha\) indices, or other variants discussed in the paper, are useful complements to the h-index of a scientist to quantify his/her scientific achievement, that rectify an inherent drawback of the h-index, its inability to distinguish between authors with different coauthorships patterns. A high h index in conjunction with a high \(h_\alpha /h\) ratio is a hallmark of scientific leadership.
Keywordsh-Index Coauthorship Scientific leadership
The author is grateful to a colleague for thoughtful comments.
- Bornmann, L., Mutz, R., & Daniel, H. D. (2008). Are there better indices for evaluation purposes than the h index? A comparison of nine different variants of the h index using data from biomedicine. Journal of the American Society for Information Science and Technology, 59, 830–837.CrossRefGoogle Scholar
- Jin, B., Liang, L. M., Rousseau, R., & Egghe, L. (2007). The R- and AR-indices: Complementing the h-index. Chinese Science Bulletin, 52, 863–863.Google Scholar
- Lando, T., & Bertoli-Barsotti, L. (2014). New tools for complementing the h-index: An empirical study. Mathematical Methods in Economics, 2014, 566–571.Google Scholar
- Mazurek, J. (2018). A modification to Hirsch index allowing comparisons across different scientific fields. Current Science, 114, 2238–2239.Google Scholar
- Yaminfirooz, M., & Gholinia, H. (2015). Multiple h-index: A new scientometric indicator. Electronic Library, 33(547), 556.Google Scholar