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The relative concentration of a journal with respect to a subject and the use of online services in calculating it

โœ Scribed by Egghe, L.

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
288 KB
Volume
39
Category
Article
ISSN
0002-8231

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โœฆ Synopsis

In this note we show that Pratt's measure of relative concentration is not extreme in extreme cases and gives different values in some indistinguishable situations. We remedy these two drawbacks by defining a new measure of relative concentration, based on Pratt's original definition. We then calculate this measure for the TRANS-ACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY with respect to all mathematical publications for the years 1975, 1980, and 1985.

In [ 11, Pratt defines a relative concentration measure, in the following sense. Consider all articles published in a certain subject, which is subdivided into N subsections so that the articles are dispersed amongst these N classes in a certain way. Let a, (i = 1, . . . , N) denote the fraction of all articles in class i. We do not loose generality in supposing that Ui 2 ui for i d j (i, j = 1, . . , N). Consider now a fixed journal, also publishing on this subject. So also for this journal, one can consider the fractions Cyi (i = 1, . . . , N) of all articles from this journal, which belong to class i (as a primary classification). Now we can wonder if the journal publishes according to the general tendency (i.e., in the perfect sense, ai = (Yi, for every i) or if the journal deviates from it and is dealing more (in this relative sense) with certain subsections than with others. For this, Pratt defines a measure of relative concentration, C,, as c = 9.f -9, r N-1

(1) with qS = 2 ia, i=l

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