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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/12897

Title: Averages of ratios compared to ratios of averages: mathematical results
Authors: Egghe, Leo
Issue Date: 2012
Citation: JOURNAL OF INFORMETRICS, 6(2). p. 307-317.
Abstract: The recently awakened discussion on the usability of averages of ratios (AoR) compared to ratios of averages (RoA) has led to the mathematical results in this paper. Based on the empirical results in Larivière and Gingras (2011) we prove, under reasonable conditions, the following relations between AoR and RoA for a set of points: (i) The regression line of RoA in function of AoR is the first bisectrix. (ii) (AoR − RoA)/AoR in function of the number N of papers is a cloud of points comprised between a multiple of and (iii) (AoR − RoA)/AoR versus RoA has a decreasing regression line.
URI: http://hdl.handle.net/1942/12897
DOI: 10.1016/j.joi.2011.12.007
ISI #: 000301364100015
ISSN: 1751-1577
Category: A1
Type: Journal Contribution
Validation: ecoom, 2013
Appears in Collections: Research publications

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