IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v123y2020i1d10.1007_s11192-020-03384-x.html
   My bibliography  Save this article

gm-index: a new mentorship index for researchers

Author

Listed:
  • Debarshi Kumar Sanyal

    (Indian Institute of Technology Kharagpur
    Kalinga Institute of Industrial Technology (KIIT) Deemed University)

  • Sumana Dey

    (Indian Institute of Technology Kharagpur)

  • Partha Pratim Das

    (Indian Institute of Technology Kharagpur)

Abstract

Advisor–advisee relationships in academic genealogy offer opportunities to understand the contribution of a mentor in shaping the research community. In this paper, we adapt the bibliometric g-index to study the mentorship role of a researcher. We call the new index $$g_m$$gm-index. It has some important differences from the mentorship h-index or the $$h_m$$hm-index. We compute the values of the $$h_m$$hm and $$g_m$$gm indices for researchers indexed in the Mathematics Genealogy Project and the Academic Family Tree. We observe for the majority of researchers, these index values are zero, but in non-zero cases, sometimes, the $$g_m$$gm-index can be significantly higher than the $$h_m$$hm-index. Moreover, the $$g_m$$gm-index decays less rapidly to zero than the $$h_m$$hm-index. It appears the $$g_m$$gm-index can be used to discriminate between researchers with the same $$h_m$$hm-index. We study how these mentorship indices are correlated with other indicators of academic success, and how they are correlated across generations of researchers.

Suggested Citation

  • Debarshi Kumar Sanyal & Sumana Dey & Partha Pratim Das, 2020. "gm-index: a new mentorship index for researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 123(1), pages 71-102, April.
    • Handle: RePEc:spr:scient:v:123:y:2020:i:1:d:10.1007_s11192-020-03384-x
    DOI: 10.1007/s11192-020-03384-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-020-03384-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11192-020-03384-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lutz Bornmann & Rüdiger Mutz & Hans‐Dieter Daniel, 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, Association for Information Science & Technology, vol. 59(5), pages 830-837, March.
    2. Julia H. Chariker & Yihang Zhang & John R. Pani & Eric C. Rouchka, 2017. "Identification of successful mentoring communities using network-based analysis of mentor–mentee relationships across Nobel laureates," Scientometrics, Springer;Akadémiai Kiadó, vol. 111(3), pages 1733-1749, June.
    3. Cassidy R. Sugimoto & Chaoqun Ni & Terrell G. Russell & Brenna Bychowski, 2011. "Academic genealogy as an indicator of interdisciplinarity: An examination of dissertation networks in Library and Information Science," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(9), pages 1808-1828, September.
    4. Cassidy R. Sugimoto & Chaoqun Ni & Terrell G. Russell & Brenna Bychowski, 2011. "Academic genealogy as an indicator of interdisciplinarity: An examination of dissertation networks in Library and Information Science," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 62(9), pages 1808-1828, September.
    5. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    6. Rossi, Luciano & Freire, Igor L. & Mena-Chalco, Jesús P., 2017. "Genealogical index: A metric to analyze advisor–advisee relationships," Journal of Informetrics, Elsevier, vol. 11(2), pages 564-582.
    7. Costas, Rodrigo & Bordons, María, 2007. "The h-index: Advantages, limitations and its relation with other bibliometric indicators at the micro level," Journal of Informetrics, Elsevier, vol. 1(3), pages 193-203.
    8. Stephen V David & Benjamin Y Hayden, 2012. "Neurotree: A Collaborative, Graphical Database of the Academic Genealogy of Neuroscience," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-12, October.
    9. Rodrigo Costas & María Bordons, 2008. "Is g-index better than h-index? An exploratory study at the individual level," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(2), pages 267-288, November.
    10. Rossi, Luciano & Damaceno, Rafael J.P. & Freire, Igor L. & Bechara, Etelvino J.H. & Mena-Chalco, Jesús P., 2018. "Topological metrics in academic genealogy graphs," Journal of Informetrics, Elsevier, vol. 12(4), pages 1042-1058.
    11. Liwei Cai & Jiahao Tian & Jiaying Liu & Xiaomei Bai & Ivan Lee & Xiangjie Kong & Feng Xia, 2019. "Scholarly impact assessment: a survey of citation weighting solutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(2), pages 453-478, February.
    12. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dhananjay Kumar & Plaban Kumar Bhowmick & Sumana Dey & Debarshi Kumar Sanyal, 2023. "On the banks of Shodhganga: analysis of the academic genealogy graph of an Indian ETD repository," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(7), pages 3879-3914, July.
    2. Jianhua Hou & Bili Zheng & Yang Zhang & Chaomei Chen, 2021. "How do Price medalists’ scholarly impact change before and after their awards?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 5945-5981, July.
    3. Kumar, Dhananjay & Bhowmick, Plaban Kumar & Paik, Jiaul H, 2023. "Researcher influence prediction (ResIP) using academic genealogy network," Journal of Informetrics, Elsevier, vol. 17(2).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rafael J. P. Damaceno & Luciano Rossi & Rogério Mugnaini & Jesús P. Mena-Chalco, 2019. "The Brazilian academic genealogy: evidence of advisor–advisee relationships through quantitative analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(1), pages 303-333, April.
    2. Yu Liu & Wei Zuo & Ying Gao & Yanhong Qiao, 2013. "Comprehensive geometrical interpretation of h-type indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(2), pages 605-615, August.
    3. Jianhua Hou & Bili Zheng & Yang Zhang & Chaomei Chen, 2021. "How do Price medalists’ scholarly impact change before and after their awards?," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(7), pages 5945-5981, July.
    4. Parul Khurana & Kiran Sharma, 2022. "Impact of h-index on author’s rankings: an improvement to the h-index for lower-ranked authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(8), pages 4483-4498, August.
    5. Kuan, Chung-Huei & Huang, Mu-Hsuan & Chen, Dar-Zen, 2011. "Ranking patent assignee performance by h-index and shape descriptors," Journal of Informetrics, Elsevier, vol. 5(2), pages 303-312.
    6. Lorna Wildgaard & Jesper W. Schneider & Birger Larsen, 2014. "A review of the characteristics of 108 author-level bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 101(1), pages 125-158, October.
    7. Chen, Meiqian & Guo, Zhaoxia & Dong, Yucheng & Chiclana, Francisco & Herrera-Viedma, Enrique, 2021. "Citations optimal growth path: A tool to analyze sensitivity to citations of h-like indexes," Journal of Informetrics, Elsevier, vol. 15(4).
    8. Franceschini, Fiorenzo & Maisano, Domenico, 2010. "The citation triad: An overview of a scientist's publication output based on Ferrers diagrams," Journal of Informetrics, Elsevier, vol. 4(4), pages 503-511.
    9. Bornmann, Lutz & Mutz, Rüdiger & Hug, Sven E. & Daniel, Hans-Dieter, 2011. "A multilevel meta-analysis of studies reporting correlations between the h index and 37 different h index variants," Journal of Informetrics, Elsevier, vol. 5(3), pages 346-359.
    10. Filippo Radicchi & Claudio Castellano, 2013. "Analysis of bibliometric indicators for individual scholars in a large data set," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 627-637, December.
    11. Mignon Wuestman & Koen Frenken & Iris Wanzenböck, 2020. "A genealogical approach to academic success," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-16, December.
    12. van Eck, N.J.P. & Waltman, L., 2008. "Generalizing the h- and g-indices," ERIM Report Series Research in Management ERS-2008-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    14. Petr Praus, 2019. "High-ranked citations percentage as an indicator of publications quality," Scientometrics, Springer;Akadémiai Kiadó, vol. 120(1), pages 319-329, July.
    15. Dhananjay Kumar & Plaban Kumar Bhowmick & Sumana Dey & Debarshi Kumar Sanyal, 2023. "On the banks of Shodhganga: analysis of the academic genealogy graph of an Indian ETD repository," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(7), pages 3879-3914, July.
    16. Anand Bihari & Sudhakar Tripathi, 2018. "Year based EM-index: a new approach to evaluate the scientific impact of scholars," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 1175-1205, March.
    17. Rossi, Luciano & Damaceno, Rafael J.P. & Freire, Igor L. & Bechara, Etelvino J.H. & Mena-Chalco, Jesús P., 2018. "Topological metrics in academic genealogy graphs," Journal of Informetrics, Elsevier, vol. 12(4), pages 1042-1058.
    18. Maurice Poirrier & Sebastián Moreno & Gonzalo Huerta-Cánepa, 2021. "Robust h-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(3), pages 1969-1981, March.
    19. Vîiu, Gabriel-Alexandru, 2016. "A theoretical evaluation of Hirsch-type bibliometric indicators confronted with extreme self-citation," Journal of Informetrics, Elsevier, vol. 10(2), pages 552-566.
    20. Deming Lin & Tianhui Gong & Wenbin Liu & Martin Meyer, 2020. "An entropy-based measure for the evolution of h index research," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(3), pages 2283-2298, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:scient:v:123:y:2020:i:1:d:10.1007_s11192-020-03384-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.