Publication
Title
Averages of ratios compared to ratios of averages : mathematical results
Author
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 Lariviere 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 1 root N and - 1 root N. (iii) (AoR - RoA)/AoR versus RoA has a decreasing regression line. (C) 2012 Elsevier Ltd. All rights reserved.
Language
English
Source (journal)
Journal of informetrics. - Amsterdam
Publication
Amsterdam : 2012
ISSN
1751-1577
Volume/pages
6:2(2012), p. 307-317
ISI
000301364100015
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 18.04.2012
Last edited 14.09.2017
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