The distribution of the uncitedness factor and its functional relation with the impact factorThe distribution of the uncitedness factor and its functional relation with the impact factor
Faculty of Social Sciences. Instructional and Educational Sciences

Book, Library and Information

article

2010Amsterdam, 2010

Documentation and information

Scientometrics: an international journal for all quantitative aspects of the science of science and science policy. - Amsterdam

83(2010):3, p. 689-695

0138-9130

000277418400007

E

English (eng)

The uncitedness factor of a journal is its fraction of uncited articles. Given a set of journals (e.g. in a field) we can determine the rank-order distribution of these uncitedness factors. Hereby we use the Central Limit Theorem which is valid for uncitedness factors since it are fractions, hence averages. A similar result was proved earlier for the impact factors of a set of journals. Here we combine the two rank-order distributions, hereby eliminating the rank, yielding the functional relation between the impact factor and the uncitedness factor. It is proved that the decreasing relation has an S-shape: first convex, then concave and that the inflection point is in the point (μ′, μ) where μ is the average of the impact factors and μ′ is the average of the uncitedness factors.

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