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Weighted Hir sch index

"New Challenges in the European Area: International Baku Forum of Young Scientists. Weighted Hir sch index. Institute of Information Technology of ANAS Rahila Hasanova 23 .0 5 .2013. Citations. More than h citations. citations = papers = h. Papers. first h papers.

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Weighted Hir sch index

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  1. "New Challenges in the European Area: International Baku Forum of Young Scientists Weighted Hirsch index Institute of Information Technology of ANAS Rahila Hasanova 23.05.2013

  2. Citations More than h citations citations= papers=h Papers firsthpapers A scientist has index h if h of his or her Np papers have at least h citations each and the other (Np – h) papers have ≤h citations each. h-index (Jorge Hirsch, 2005) J.E.Hirsch, An index to quantify an individual’s scientific research output // Proceedings of the National Academy of Sciences of the USA, 2005, vol.102, no.46, pp.16569-16572.

  3. Quantity (publications) and impact (citations). • Awarding prizes • Single-number criteria • Easy to understand Advantages of h-index

  4. Differences among fields. • Scientist's career.. • Citation to journal articles… • Decrease…. • Highly cited papers….. • Self-citations….. Disadvantagesofh-index Solomon H. Snyder: h = 191  Hector Garcia-Molina: h = 88

  5. Suppose that, the scientific researcher has 9 papers and these papers received 20, 15, 7, 5, 5, 5, 4, 2, 2 citations accordingly. h-index (Example) Hirsch core h = 5

  6. The highest rank such that the top g papers have, together, at least g2 citations. This also means that the top g+1 have less than (g+1)2papers. Example. Suppose that, the scientific researcher has 9 papers and these papers received 20, 15, 7, 5, 5, 5, 4, 2, 2 citations accordingly. g-index (Leo Egghe, 2006) Let's compare his h-and g-indices. L.Egghe, Theory and practice of the g-index // Scientometrics, 2006, vol.69, no.1, pp.131-152.

  7. g-index (Example) h-core g-core h = 5, g = 7

  8. m-indexthe median number of citations received by papers in the Hirsch core. Example. Suppose that, the scientific researcher has 8 papers and these papers received 23, 20, 19, 12, 7, 4, 3 and 1 citations accordingly. m-index Papers including to Hirsch core h = 5 m = 19 Q.L.Bornmann, R.Mutz, and H.D.Daniel, Are there better indices for evaluation purposes than the h-index using data from biomedicine // Journal of the American Society for Information Science and Technology, 2008, vol.59, no.5, pp.830-837.

  9. Arithmetic mean Variations of h- və m-indexes Root mean square Geometric mean Harmonicmean *Aliguliyev, R., Hasanova, R., The evaluation of the scientific output of researchers / The 3rd International Conference “Problems ofCybernetics and Informatics”, 6-8 Sept. 2010, Baku: http://www.pci2010.science.az/1/35.pdf **Jipa S., Gorghiu L.M., Dumitrescu C.,Oros C. Research output new evaluation of chemistry group in Valahia university with the use of various bibliometric indicators // Journal of Science and Arts, 2012, no. 3, vol. 20, pp. 335-342. http://www.icstm.ro/DOCS/josa/josa_2012_3/b_06_Silviu_Jipa.pdf

  10. For compare researchers with the same h-index, to the number of citations coming to each paper in Hirsch core, added arithmetic mean of authors’ h-indexes (who cited these researchers’ papers) as weighted coefficient. Weighted h-index

  11. Assume that, I scientific researcher has 6 papers and these papers received citations accordingly. II scientific researcher has 6 papers and these papers received 6, 3, 2, 0, 0, 0 citations accordingly. Example (h-index)

  12. For the first researcher h=2 For the second researcher h=2 Example (h-index) Let’s sort number of citations coming to the papers of both researchers in decreasing order: *Here the power of citations coming to the papers is not taken account (for ex., h-index of citation’s author, impact factor of the journal from where citation coming and etc.).

  13. For I researcher h=2, g=3, m=4.5 Example (h-, g-, m-indexes) Let’s sort number of citations coming to the papers of both researchers in decreasing order : For II researcherh=2, g=3, m=4.5 *Here the power of citations coming to the papers is not taken account (for ex., h-index of citation’s author, impact factor of the journal from where citation coming and etc.).

  14. Here, For the first researcher’s h-index his the first and the second paper gives 1 point each. So, h(I) = 1 (for number of citations coming to the first paper)+ 1 (for number of citations coming to the second paper) = 2 For the second researcher’s h-index his the first and the second paper gives 1 point each. So, h(II) = 1 (for number of citations coming to the first paper) + 1 (for number of citations coming to the second paper) = 2 Example (h-index)

  15. I researcher (weighted h-index) Number of citation of the first paper for I researcher is 5, number of citations of the second paper is 4. II citation I citation III citation I citation II citation I paper II paper V citation IV citation IV citation III citation h=2 *Here number of citations >= 2, that is way they are taken into account.

  16. I researcher (weighted h-index) H-index of authors of citations coming to the first paper of I researcher is equal to 4, 3, 2, 0, 0 accordingly. H-index of authors of citations coming to the second paper of I researcher is equal to 7, 6, 1, 1 accordingly. h=3 h=4 h=2 h=7 h=6 II citation I citation III citation I citation II citation I paper II paper h=0 h=0 h=1 h=1 V citation IV citation IV citation III citation *Here h-index of each citation’s author is taken account.Thus, if any of citations has 2 or more co-authors, then h-index is calculated as arithmetic mean of these authors’ h-index. Self-citation is calculated as h=0.

  17. Normally, the first and the second papers give 1 point each to h-index of the I researcher. Here we include weighted coefficients to these points: I researcher (weighted h-index)

  18. II researcher (weighted h-index) Number of citation of the first paper for II researcher is 6, number of citations of the second paper is 3. II citation I citation I citation III citation I paper II paper III citation II citation VI citation Vcitation IV citation h=2 *Here number of citations >= 2, that is way they are taken into account.

  19. II researcher (weighted h-index) H-index of authors of citations coming to the first paper of II researcher is equal to 6, 6, 1, 1, 0, 0 accordingly. H-index of authors of citations coming to the second paper of II researcher is equal to 1, 1, 0 accordingly. h=6 h=1 h=6 h=1 II citation Icitation Icitation III citation I paper II paper h=1 h=1 III citation II citation VI citation V citation IV citation h=0 h=0 h=0 *Here h-index of the citation’s author is taken account.Thus, if any of citations has 2 or more co-authors, then h-index is calculated as arithmetic mean of these authors’ h-index. Self-citation is calculated as h=0.

  20. Normally, the first and the second papers give 1 point each to h-index of the II researcher. Here we include weighted coefficients to these points: II researcher (weighted h-index) h(I) = 5.55 h(II) = 3.33 *As seems from example, h(I)>h(II). This means that, the power of citations of the I researcher’s papers is higher than the power of citations of the II researcher’ papers.

  21. Thank you for attention! Institute of Information Technology of ANAS “Weighted Hirsch index”, Rahila Hasanova 23.05.2013

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