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120   Becoming Metric-Wise


          and Garfield (1982) found that eminent scientists received nearly twice as
          many citations as secondary authors in the sense of not being the first
          author than as primary ones. This shows that eminent scientists have been
          systematically ceding first authorship to their junior collaborators. This
          practice was termed noblesse oblige by Harriet Zuckerman. Nowadays there
          is probably little noblesse included as very often the hard work and some-
          times the main idea comes from the first author, while the last one (the
          eminent scientist) plays a more supervising role. Anyway, we are convinced,
          with Lindsey (1980), that there is neither strong empirical evidence nor
          theoretical rationale to support using straight counts.
             Giving each author a full credit favors authors who often collaborate.
          For this reason this method is sometimes referred to as inflated counts.
          Especially in cases of mega- or hyperauthorship, say 50 authors or more it
          does not seem right that each author receives a full credit.
             Major contribution count seems more correct, but still some contri-
          butors receive no credit. The habit of giving first and corresponding
          authors a special treatment has led to the strange (i.e., mathematically
          illogical) phenomenon of several first authors and/or several correspond-
          ing authors. Hu (2009) showed that in the Journal of Biological Chemistry
          this phenomenon occurred in about 8% of the articles in 1999 and
          increased to about 26% in 2008.
             Adjusting credits to all authors seems the best method. If no informa-
          tion is given one should use complete-normalized counting, while when
          it is known that authors are listed in order of importance harmonic
          counting, (possibly adapted for the role of the last author) seems the best
          solution. Of course, also here mega-authorship leads to a practical
          problem.
             Note that all methods except complete count and major contribution
          count, assign a unit credit to one article. Complete counts assign a credit
          of n (if there are n authors) to one article and major contribution count
          gives as many credits as there are major contributors. Of course, it is also
          imaginable that each major contributor receives a fraction of a credit in
          such a way that also for this method one article leads to a total of one
          credit.
             It is easy to understand that different counting methods may lead to
          different rankings among authors (rankings according to the number of
          articles to which they contributed). We provide an illustration.
             Determine from Table 5.2 the credits received by each author sepa-
          rately (authors A, B, C, D, E, F) and their publication rank by using first
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