On the impossibility of a perfect counting method to allocate the credits of multi-authored publications

The problem on how to distribute the publication credits among ordered coauthors has been extensively discussed in the literature. However, there is no consensus about what is the most adequate procedure. This paper studies the properties of the existing counting methods and shows an impossibility result regarding the existence of a general counting method able to satisfy no advantageous merging and no advantageous splitting simultaneously—two properties that we consider fundamental. Our results suggest that the generalized variations of the geometric and the harmonic counting methods are the most flexible and robust in theoretical terms.

[1]  Jinseok Kim,et al.  Rethinking the comparison of coauthorship credit allocation schemes , 2015, J. Informetrics.

[2]  Barry O'Neill,et al.  A problem of rights arbitration from the Talmud , 1982, Math. Soc. Sci..

[3]  Chun-Ting Zhang,et al.  A proposal for calculating weighted citations based on author rank , 2009, EMBO reports.

[4]  P. Vinkler Evaluation of the publication activity of research teams by means of scientometric indicators , 2000 .

[5]  R. Dellavalle,et al.  The write position , 2007, EMBO reports.

[6]  Xiaojun Hu,et al.  Loads of special authorship functions: Linear growth in the percentage of "equal first authors" and corresponding authors , 2009, J. Assoc. Inf. Sci. Technol..

[7]  Duncan Lindsey,et al.  Production and Citation Measures in the Sociology of Science: The Problem of Multiple Authorship , 1980 .

[8]  Lutz Bornmann,et al.  A multilevel meta-analysis of studies reporting correlations between the h index and 37 different h index variants , 2011, J. Informetrics.

[9]  Guido Van Hooydonk Fractional Counting of Multiauthored Publications: Consequences for the Impact of Authors , 1997, J. Am. Soc. Inf. Sci..

[10]  Hui Fang,et al.  Fairly sharing the credit of multi-authored papers and its application in the modification of h-index and g-index , 2011, Scientometrics.

[11]  I. Lukovits,et al.  Correct credit distribution: A model for sharing credit among coauthors , 1995 .

[12]  Dan Ariely,et al.  Research Note - The Researcher as a Consumer of Scientific Publications: How Do Name-Ordering Conventions Affect Inferences About Contribution Credits? , 2009, Mark. Sci..

[13]  Jana Diesner,et al.  A network-based approach to coauthorship credit allocation , 2014, Scientometrics.

[14]  M. Bazerman,et al.  The costs and benefits of undoing egocentric responsibility assessments in groups. , 2006, Journal of personality and social psychology.

[15]  Vincent Larivière,et al.  Team size matters: Collaboration and scientific impact since 1900 , 2014, J. Assoc. Inf. Sci. Technol..

[16]  M Dym,et al.  Gossypol: effect on testosterone. , 1981, Science.

[17]  J. S. Katz,et al.  What is research collaboration , 1997 .

[18]  Ash Mohammad Abbas Generalized Linear Weights for Sharing Credits Among Multiple Authors , 2010, ArXiv.

[19]  Héctor Guerrero,et al.  A robust formula to credit authors for their publications , 2004, Scientometrics.

[20]  Liaojun Pang,et al.  Determining scientific impact using a collaboration index , 2013, Proceedings of the National Academy of Sciences.

[21]  Joon-Oh Park,et al.  The Increasing Dominance of Teams in Production of Knowledge , 2011 .

[22]  Ash Mohammad Abbas,et al.  Polynomial Weights or Generalized Geometric Weights: Yet Another Scheme for Assigning Credits to Multiple Authors , 2011, ArXiv.

[23]  Nils T. Hagen,et al.  Harmonic Allocation of Authorship Credit: Source-Level Correction of Bibliometric Bias Assures Accurate Publication and Citation Analysis , 2008, PloS one.

[24]  Blaise Cronin,et al.  Hyperauthorship: A postmodern perversion or evidence of a structural shift in scholarly communication practices? , 2001, J. Assoc. Inf. Sci. Technol..

[25]  Ludo Waltman,et al.  A review of the literature on citation impact indicators , 2015, J. Informetrics.

[26]  N. Assimakis,et al.  A new author’s productivity index: p-index , 2010, Scientometrics.

[27]  Leo Egghe,et al.  Methods for accrediting publications to authors or countries: Consequences for evaluation studies , 2000, J. Am. Soc. Inf. Sci..

[28]  Nils T. Hagen,et al.  Harmonic coauthor credit: A parsimonious quantification of the byline hierarchy , 2013, J. Informetrics.

[29]  Paul M. Trenchard,et al.  Hierarchical bibliometry: a new objective measure of individual scientific performance to replace publication counts and to complement citation measures , 1992, J. Inf. Sci..

[30]  Stephen Cole,et al.  Social Stratification in Science , 1974 .

[31]  M. Hochberg,et al.  Author Sequence and Credit for Contributions in Multiauthored Publications , 2007, PLoS biology.

[32]  Min Song,et al.  Author credit‐assignment schemas: A comparison and analysis , 2016, J. Assoc. Inf. Sci. Technol..

[33]  Wolfgang Glänzel,et al.  Inflationary bibliometric values: The role of scientific collaboration and the need for relative indicators in evaluative studies , 2004, Scientometrics.

[34]  Cassidy R. Sugimoto,et al.  Mapping world scientific collaboration: Authors, institutions, and countries , 2012, J. Assoc. Inf. Sci. Technol..

[35]  Giovanni Abramo,et al.  The importance of accounting for the number of co-authors and their order when assessing research performance at the individual level in the life sciences , 2018, J. Informetrics.

[36]  Ç. Şekercioğlu Quantifying Coauthor Contributions , 2008, Science.

[37]  Nils T. Hagen,et al.  Harmonic publication and citation counting: sharing authorship credit equitably – not equally, geometrically or arithmetically , 2009, Scientometrics.

[38]  T. Keats,et al.  On multiple authorship. , 1996, Skeletal radiology.