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156   Becoming Metric-Wise


          Table 6.1 A complete p-c matrix of a hypothetical journal
          Year of publication           1  1  2  2  2  3  3   3  4  4  4  4
          Articles                      A  B  C  D  E  F  G   H  I  J  K  L
          Number of citations received in year 1  1  0
          Number of citations received in year 2  4  2  2  1  1
          Number of citations received in year 3  6  2  1  4  6  3  0  0
          Number of citations received in year 4  8  1  0  5  9  3  1  2  4  1  2  3


          citations in the short term.” In this way, well-known (5heavily cited)
          scientists publish mainly and preferably in well-known (5heavily cited)
          journals.
             The best known—and most criticized—criterion for a journal’s visibility
          is the journal impact factor (JIF). This indicator and related ones are dis-
          cussed in this chapter. Note that here we consider the JIF as the result of a
          specific mathematical formula. At this point we do not go into details about
          the way databases such as the Web of Science (WoS) apply this formula.

          6.2 THE PUBLICATION-CITATION MATRIX PER ARTICLE

          6.2.1 A Complete Publication-Citation Matrix
          A complete publication-citation matrix (in short, p-c matrix) of a journal
          contains all citation information for each of its articles. Table 6.1 provides
          an example in which we consider a fictitious journal publishing, for sim-
          plicity’s sake, very few articles. We note that all citations come from a
          given pool of citing articles (Ingwersen et al., 2001).
             The numbers in Table 6.1 mean the following: the number 6 in the
          column starting with 2E, means that article E, published in year 2,
          received 6 citations in year 3.


          6.3 THE PUBLICATION-CITATION MATRIX OF A JOURNAL
          AND THE GARFIELD-SHER (1963) IMPACT FACTOR:
          INTRODUCTION

          When one is interested in knowing a journal’s impact factor, the number
          of citations received by each individual article plays no role: all articles
          published in a particular year are brought together. For this purpose
          Table 6.1 is replaced by Table 6.2. This type of table contains all data
          needed to calculate impact factors (see further).
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