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A simulation study to investigate the accuracy of approximating averages of ratios using ratios of averages

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  • van Zyl, J.M.

Abstract

For a number of researchers a number of publications for each author is simulated using the zeta distribution and then for each publication a number of citations per publication simulated. Bootstrap confidence intervals indicate that the difference between the average of ratios and the ratio of averages are not significant. It was found that the log–logistic distribution which is a general form for the ratio of two correlated Pareto random variables, give a good fit to the estimated ratios.

Suggested Citation

  • van Zyl, J.M., 2013. "A simulation study to investigate the accuracy of approximating averages of ratios using ratios of averages," Journal of Informetrics, Elsevier, vol. 7(4), pages 907-913.
    • Handle: RePEc:eee:infome:v:7:y:2013:i:4:p:907-913
    DOI: 10.1016/j.joi.2013.08.008
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    References listed on IDEAS

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    1. Egghe, L., 2012. "Averages of ratios compared to ratios of averages: Mathematical results," Journal of Informetrics, Elsevier, vol. 6(2), pages 307-317.
    2. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
    3. M. Goldstein & S. Morris & G. Yen, 2004. "Problems with fitting to the power-law distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(2), pages 255-258, September.
    4. Larivière, Vincent & Gingras, Yves, 2011. "Averages of ratios vs. ratios of averages: An empirical analysis of four levels of aggregation," Journal of Informetrics, Elsevier, vol. 5(3), pages 392-399.
    5. Waltman, Ludo & van Eck, Nees Jan & van Leeuwen, Thed N. & Visser, Martijn S. & van Raan, Anthony F.J., 2011. "Towards a new crown indicator: Some theoretical considerations," Journal of Informetrics, Elsevier, vol. 5(1), pages 37-47.
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