@article{Leo_Ronald_Egghe_Rousseau_2017, title={A basic indicator for relative contributions and a remarkable difference between a ratio of averages and an average of ratios}, volume={19}, url={https://mjlis.um.edu.my/index.php/MJLIS/article/view/1802}, abstractNote={<p>Egghe, L., & Rousseau, R. (2014). A basic indicator for relative contributions and a remarkable difference between a ratio of averages and an average of ratios. <em>Malaysian Journal of Library & Information Science</em>, <em><span lang="EN-MY">Vol.19, no. 1:</span></em> 17-22.</p> <p><em>This article has been inspired by the activity index and problems in its proper understanding. It </em><em>studies a basic relative contribution index which is placed in the context of countries’ publication </em><em>contributions. Two versions are proposed: one being an average of ratios (AoR) and the other one a </em><em>ratio of averages (RoA). A Lotkaian-Zipfian framework is used to model the two versions of the </em><em>proposed indicator. A remarkable difference between the two approaches (RoA vs. AoR) is found </em><em>when determining the fraction of units (countries) that have a value larger than one. This </em><em>observation contributes to the understanding of the differences between these two approaches.</em></p> <p> </p>}, number={1}, journal={Malaysian Journal of Library and Information Science}, author={Leo, Egghe and Ronald, Rousseau and Egghe, Leo and Rousseau, Ronald}, year={2017}, month={Mar.} }