Since the H-index was introduced in 2005, there have been dozens of other attempts to define a rating system that will effectively communicate the value of a researcher's work. Many are not yet useful for the simple reasons that the computation algorithms are cumbersomely esoteric and the meaning of the results is not widely known. Here are a few of the best known author-level metrics with links sites where you can learn more about them.
The h-index It is derived from a simple calculation based on the number of papers an author has published and the number of citations those papers have garnered. If you were to list all of the papers published by the author in order of the number of citations they had received, with the highest number of citations first, and count the number of papers with more citations than the rank of the paper in that list, the H-index is the rank of the last paper. So if you had published 12 papers and only 5 of them had 5 or more citations, your H-index would be 5.
You can see an author's H-Index on the Author Profile screen in Scopus.
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