Averages of impact factors : general contribution

Leo Egghe, Ronald Rousseau


It is shown that the ratio of the harmonic mean of citations over the harmonic mean of publications does not lead to an acceptable impact measure for a meta-journal. This result contrasts markedly with the corresponding cases in which the arithmetic or geometric average is used. The relation between different averages and the regression of impact over publications or the regression of the opposite of impact over the opposite of publication numbers is studied in some detail. This leads to the general observation that if the regression line of y over x has a positive slope then this is not necessarily true for the regression line of 1/y over 1/x.


journal impact; meta-journal; arithmetic average; geometric average; harmonic average; regression line; slope; monotone scatter plots

Full Text:


DOI: https://doi.org/10.7553/73-1-1337


  • There are currently no refbacks.

ISSN 2304-8263 (online); ISSN 0256-8861 (print)
Powered by OJS and hosted by Stellenbosch University Library and Information Service since 2012.



This journal is hosted by the SU LIS on request of the journal owner/editor. The SU LIS takes no responsibility for the content published within this journal, and disclaim all liability arising out of the use of or inability to use the information contained herein. We assume no responsibility, and shall not be liable for any breaches of agreement with other publishers/hosts.

SUNJournals Help

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.