How to calculate H-Index of an University / Institution? Do we have any formula for such? Though its author level metric, but how web of science calculate H Index of the University.
I explain the case of h-5. The 5 stands for 5 years.
The h-index of a university is the largest number h such that at least h articles from that university were cited at least h times each.
For example, consider a unversity publishing just five articles that were cited, and these were cited 17, 9, 6, 3, and 2 times.
(The 17 citations might have been
Year 1: 2,
Year 2: 5,
Year 3: 5,
Year 4: 5,
Year 5: 0.)
To calculate h, you would look through the university's publications for articles that had been cited. You write down the total number of citations garnered by each of the articles by the university (over the last 5 years, to ensure currency). You then sort the numbers from largest to smallest.
You then start on the right and ask:
Have the five articles by the university garnered at least 5 citations? No. (It's not that good!)
Have 4 of the articles by the university garnered at least 4 citations? No. (Nearly!)
Have 3 of the articles by the university garnered at least 3 citations? YES! Therefore the h-index of the university is 3.
In estimating H-Index May I suggest you develop the formula yourself rather than looking for the formula. As the researcher of such problem, you have full grasp of constructs that can be used in the formulation of the mathematical formula.
Let me just stress that the totality of Ian's answer appears to describe h5-index, and if you are interested in the usual h-index, one sentence from his answer suffices:
The h-index of a university is the largest number h such that at least h articles from that university were cited at least h times each.
(i.e. one should consider all publications of a given university without any 5-year limitation).
Originally the H-index was designed to measure the individual scientist's excellence. But if one goes by the same method and measures a whole institution, then probably the same process applies, that is, you check the citations to the university publications in descending order, and at the point where the number of citations to these publications equals the number of publications of that institution you establish the H-index of that institution.
H index has a formula that is there in google but I know research gate calculate by number of review, score of paper, index and citation of paper and ....
Originally the H-index was designed to evaluate researchers' excellence, but today it is used to assess institution's excellence too. According to the WoS, Harvard university H-index for 2020 was 45.That is, at least 45 papers published from this university received, at last, 45 citations. The H-index is established at the point where there is a match between the number of publications and citations of an author or an institution.
The H-index of a university can be seen when searching the Web of Science for all publications of that university, and checking the citation report of that university, and there is also a mention of the H-Index of that university. Otherwise, one can do a time-consuming work of matching the number of publications and the number of citations of that university in descending order, and at the point where these two numbers match, is the H-Index of that university.
If you have 5 articles which are cited more than 5 times, then your h-index is 5. If you have 8 articles published which are cited more than 5 times then your h- index is 8( h5 only).
The h index is a country's number of articles that have received at least h citations. It quantifies both country scientific productivity and scientific impact and is also applicable to scientists, journals, etc. For more information, please see this link https://www.scimagojr.com/help.php