Correction to: Four problems of the h-index for assessing the research productivity and impact of individual authors

Scientometrics https://doi.org/10.1007/s11192-022-04455-x CORRECTION Correction to: Four problems of the h‑index for assessing the research productivity and impact of individual authors Henry H. Bi1 © Akadémiai Kiadó, Budapest, Hungary 2022 Correction to: Scientometrics https://doi.org/10.1007/s11192-022-04323-8 The original version of the article was published with minor corrections in Table 4, references and in a sentence. These have been corrected with this Correction as below: In page 6, subsection "Solving the four problems", the first sentence should read as "The aforementioned four problems can be effectively addressed by using the hi-index: The hiindex prevents each author from taking full credit for a multiauthored publication’s all contributions (Problem #1)." See Table 4 below. The original article can be found online at https://doi.org/10.1007/s11192-022-04323-8. * Henry H. Bi 1 Willamette University, 900 State Street, Salem, OR 97301, USA 13 Vol.:(0123456789) 13 Donna Strickland 2018 2019 2021 P1 P2 P3 Syukuro Manabe Didier Queloz Name Author No Year of Nobel Prize 4,256.96 6,727.33 17,124.58 https://schol 11,148 ar.google. com/citat ions?hl= en&authu ser=1& user=C v9dj kcAAAAJ 54,386 37,185 https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= S5HCm 2oAAAAJ https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= GPkBB- YAAAAJ (2) Author’s fractional number of citations Google (1) Total Scholar URL number of citations 46.05 12.37 38.19 (3) Percentage of the author’s fractional number of citations (%) 85 118 22 65 32 13 (4) h-index (5) Individual hi-index 23.53 72.88 40.91 (6) Percentage decrease from h-index to hi-index (%) 4.15 21.80 3.90 (7) Average number of authors per cited publication 164,052 1,047,506 36,482 (8) Sum of all authors’ total numbers of citations Table 4  The Google Scholar data of 12 Nobel laureates (accessed December 18, 2021) P = Physics, C = Chemistry, M = Physiology or Medicine, E = Economic Sciences Scientometrics M. Stanley Whittingham 2019 2020 C1 C2 Jennifer A. Doudna Name Author No Year of Nobel Prize Table 4  (continued) https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= df-6g6kA AAAJ https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= YO5XS XwAAA AJ 21,195.63 21,610.81 88,579 (2) Author’s fractional number of citations 38,110 Google (1) Total Scholar URL number of citations 24.40 55.62 (3) Percentage of the author’s fractional number of citations (%) 137 80 66 49 (4) h-index (5) Individual hi-index 51.82 38.75 (6) Percentage decrease from h-index to hi-index (%) 6.30 4.93 (7) Average number of authors per cited publication 553,242 153,774 (8) Sum of all authors’ total numbers of citations Scientometrics 13 13 David MacMillan 2021 2019 2020 C3 M1 M2 Michael Houghton Gregg L. Semenza Name Author No Year of Nobel Prize Table 4  (continued) https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= 7x48v OkAAAAJ https://schol ar.google. com/citat ions?hl= en&authu ser=1& user=fX-_ IToAA AAJ https://schol ar.google. com/citat ions?hl= en&authu ser=1& user=litPc pcAAAAJ 19,764.57 71,862.41 7,745.51 171,400 51,113 (2) Author’s fractional number of citations 52,836 Google (1) Total Scholar URL number of citations 15.15 41.93 37.41 (3) Percentage of the author’s fractional number of citations (%) 99 186 109 39 108 72 (4) h-index (5) Individual hi-index 60.61 41.94 33.94 (6) Percentage decrease from h-index to hi-index (%) 7.88 12.07 3.83 (7) Average number of authors per cited publication 472,677 31,520,958 172,666 (8) Sum of all authors’ total numbers of citations Scientometrics Ardem Patapoutian 2021 2019 M3 E1 Esther Duflo Name Author No Year of Nobel Prize Table 4  (continued) https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= 2aSu2 9oAAAAJ https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= yhDMl 8AAAAAJ 6,012.36 34,136.05 77,723 (2) Author’s fractional number of citations 34,923 Google (1) Total Scholar URL number of citations 43.92 17.22 (3) Percentage of the author’s fractional number of citations (%) 96 75 69 39 (4) h-index (5) Individual hi-index 28.13 48.00 (6) Percentage decrease from h-index to hi-index (%) 3.52 8.18 (7) Average number of authors per cited publication 228,807 297,929 (8) Sum of all authors’ total numbers of citations Scientometrics 13 13 Robert B. Wilson 2020 2021 E2 E3 David Card Name Author No Year of Nobel Prize Table 4  (continued) https://schol ar.google. com/citat ions?hl= en&authu ser=1& user=2- JLOBw AAAAJ https://schol ar.google. com/citat ions?hl= en&authu ser=1& user= lqmGJ IkAAAAJ 19,630.59 48,542.13 79,117 (2) Author’s fractional number of citations 29,934 Google (1) Total Scholar URL number of citations 61.35 65.58 (3) Percentage of the author’s fractional number of citations (%) 108 54 81 48 (4) h-index (5) Individual hi-index 25.00 11.11 (6) Percentage decrease from h-index to hi-index (%) 2.75 1.88 (7) Average number of authors per cited publication 160,881 58,367 (8) Sum of all authors’ total numbers of citations Scientometrics Scientometrics See Fig. 1 below. Percentage decrease from the h-index to the hi-index Percentage of the author's fractional number of citations Average number of authors per cited publication 70% 65.6% 61.4% Percentage 60% 48.0% 40% 30% 23.5% 43.9% 25.0% 37.4% 28.1% 38.8% 33.9% 40.9% 8.2 0% 51.8% 15 10 24.4% 7.9 20% 10% 20 41.9% 41.9% 12.1 38.2% 25 21.8 60.6% 55.6% 50% 46.1% 72.9% 11.1% 4.1 2.7 1.9 E2 P3 E3 3.5 3.8 E1 C3 4.9 C1 17.2% 15.2% 3.9 P1 M1 M3 5 6.3 C2 M2 12.4% P2 0 Average number of authors per cited publication Percentage decrease from the h-index to the h i-index 80% Author Fig. 1  The relationship between Table 4’s column (6) (in blue) and columns (3) (in green) and (7) (in red) The original article has been corrected. References Harzing, AW (2021) Publish or Perish. https://harzing.com/resources/publish-or-perish. Downloaded July 6, 2021. Hirsch, J. E. (2005). An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences of the United States of America 102(46), 16569–16572. https://doi.org/ 10.1073/pnas.0507655102 13  (...truncated)