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                                                    Publication and Citation Analysis

              Table 5.2 Data for the author credit problem
              Art1            Art2             Art3          Art4         Art 5
              A-B-C-F         A-C-B-D          C-E           D            C-D


              Table 5.3 Solution of the problem
                  Credit      Rank  Credit    Rank   Credit (fractional)  Rank
                  (first            (normal
                  author            counts)
                  count)

              A   2           1     2         3      (1/4) 1 (1/4) 5 0.5  3
              B   0           4     2         3      (1/4) 1 (1/4) 5 0.5  3
              C   2           1     4         1      (1/4)1 (1/4)1 (1/2)1  2
                                                     (1/2)5 1.5
              D   1           3     3         2      (1/4)1 11 (1/2)5 1.75  1
              E   0           4     1         5      1/2                  3
              F   0           4     1         5      1/4                  6

              Source: Data in Table 5.2. One could also give an average rank, but that is not essential here. In that
              case first author count leads to three authors at rank 5 (instead of rank 4).


              author counts, normal counts and complete-normalized (fractional)
              counts. Authors are given as in the by-line of their articles.
                 The solution is given in Table 5.3.
                 Counting contributions of universities or countries is even more com-
              plicated. One method consists of giving an equal credit for every address
              that occurs in the by-line, irrespective of the number of collaborators
              with that address.
                 An example
                 Assume that an article has three authors: one from country C 1 and
                 two from country C 2 , belonging to the same department. The author
                 from country C 1 is first author, while one of the other authors is cor-
                 responding author.
                 Applying First Author Count gives one credit to country C 1 , and no
                 credits to country C 2 .
                 Applying major contribution count gives one credit to country C 1 and
                 one credit to country C 2 ; or alternatively (when normalizing), half a
                 credit to each country.
                 Applying Normal Counts gives country C 1 one credit, but now country
                 C 2 receives two credits.
                 Applying fractional counting (we illustrate the two main cases).
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