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Understanding the ‘g-index’ and the ‘e-index’

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The ‘Hirsch index’ or the h-index is a leading author-level research metric, and its value denotes the ‘h’ number of papers having at least an ‘h’ number of citations. One… Click to show full abstract

The ‘Hirsch index’ or the h-index is a leading author-level research metric, and its value denotes the ‘h’ number of papers having at least an ‘h’ number of citations. One of the major drawbacks of the h-index is the lack of sensitivity it demonstrates to highly cited papers beyond the ‘h’ value. What does this mean? Let us suppose a researcher has an h-index of 31. An article of this researcher has already received 31 citations and has achieved a ‘h top class’ or ‘Hirsch-core’. It does not matter for the h-index if this article gets continuously cited more and whether it receives 100 or 300 more citations. Hence, the h-index is insensitive to the highly cited work. To get a better measure of a set of articles’ global citation performance, the ‘g-index’ was introduced by Leo Egghe in 2006 as an improvement over the h-index. The g-index is defined as ‘the largest number such that the top ‘g’ articles received together at least g citations. The citations are considered in a descending order. For example, let us suppose a researcher has 4 publications with citations in descending order as 4,3,3,0. The g-index would be 3, since the sum of the first three citations is >9 but the sum of all four citations is not >16. The unique advantage of the g-index is that it considers highly cited papers beyond the ‘h-value’ or the ‘Hirsch core’. Hence, more weight is allotted to highly cited papers. The g-index retains the advantages and overcomes the disadvantages of the h-index. The g-index is also very helpful for comparing researchers with identical ‘h-index’, who may be competing for limited resources. It has also been used to assess the academic productivity of oncology residents and practicing neurosurgeons. The ‘g-index’ of a researcher is always higher than the ‘h-index’. Using the Harzing publish or perish website (https://harzing.com/resources/publish-or-perish), researchers can utilize data from the google scholar or citation databases to measure their ‘g-index’. Similar to the g-index, the e-index, proposed by Chun-Ting Zhang in 2009, also considers the underestimation of the citations by the ‘h-index’, and focuses on the highly cited papers. It also helps in better evaluation of researchers with different total citations but similar ‘h-index’. The e-index is a complementary metric to the h-index in assessing highly cited researchers, where even a g-index may not be able to catch the loss of citation data. The e-index helps assess the ignored excess citations that they may be receiving over and above the h-index. However, e-index is not a good tool to use for researchers with few publications or citations. Evaluating the h-index alone would be an incorrect measure of research assessment, especially for highly cited researchers. A combination of the h-index, g-index, and the e-index gives a better measure of the global citation performance and individual research impact.

Keywords: index; index index; measure; cited papers; highly cited; citation

Journal Title: Seminars in Ophthalmology
Year Published: 2021

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