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Calculation of characteristic index (c-index). Location Total # Cites Year Row # = Σ wh Position wc = 1/p Σ wc

Calculation of characteristic index (c-index). Location Total # Cites Year Row # = Σ wh Position wc = 1/p Σ wc

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Background: Many author indices exist to gauge academic productivity. Several of these indices are calculated based upon an author's scholarly publication record, but the measurement methodology to calculate each index varies considerably, and the precise function being used, as well as the end result, is often complex and difficult to assess. Meth...

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Context 1
... for first or last authorship wc is 1/1 = 1, for second or second-to-last authorship wc is 1/2 = 0.5, for third or third-to-last authorship wc is 1/3 = 0.33, and so on. In Table 2, the top cited papers of author J, Table 1, are given as an example, since the h-index is relatively low, so that the number of rows needed for illustration will be relatively short. Shown for each paper, columns from left to right, are the author's location in the author list, the total number of authors on the paper, the number of citations attributed to the paper, its year of publication, the row number (which is also the sum of contributions to the h-index), the author's position in the author list according to the weighting paradigm described above (for example if listed at location 6 out of 7 authors, position is 2, if listed at location 7 of 9 authors, position is 3), the weight according to the characteristic index wc, and the sum of weighted contributions according to the characteristic index. ...
Context 2
... described in the Introduction, the h-index is defined as the row after which the value in the citation column is less than the row number. For the h-index calculation, author weight wh is unity for all papers regardless of author position, and thus the sum of h weighted contributions (Σ wh, Table 2) increases by 1 in every row. The h-index is therefore the row after which the value in the citation column becomes less than Σ wh. ...
Context 3
... value is 28, an integer, noted by an asterisk. Similarly, the c-index is defined as the row after which the value in the citation column becomes less than the sum of c-index weighted contributions (column Σ wc, Table 2). Note that the sum of c contributions increases fractionally, except when the author is listed as first or last author, in which case the weighted contribution equals 1, the same as for the h-index. ...
Context 4
... Table 2, when the contribution of the author to each paper is small (i.e., author's position is toward the middle of the author list), the sum of weighted contributions (Σ wc) will increase more slowly than the h index, and thus the crossing with the citations column will occur further down in the list (c-index is smaller than h-index). However, if the author location for all published papers were to be either first or last in the list of authors, then wc would equal 1 in each row, and the sum of contributions column would be the same as for the h-index (Σ wc = Σ wh). ...
Context 5
... weighed c' contribution is wc' = 1/y. An example is shown in Table 3 (author J, as in Table 2). For the paper with the most cites, in row 1, the author is 6th of 7 total authors. ...
Context 6
... c-index values (Table 4) are less than h-index values (Table 1) for all authors. Other information is shown including the average position of the author in the list of authors for all publications (Av Pos), average number of authors per publication (Av Au/ Table 2. The average position, authors per paper, and cites per paper were calculated for Author J using 33 papers, and so on for the other authors in the table. ...
Context 7
... h-index ranks authors by determining h publications with h or more citations. However, the characteristic indices c-and c'-modify the calculation by altering the weighting of author contribution for each paper (Tables 2 and 3). The c-index calculation considers author position in weighting author contribution. ...

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