A multilevel meta-analysis of studies reporting correlations between the h index and 37 different h index variants |
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| Authors: | Lutz Bornmann Rüdiger Mutz Sven E Hug Hans-Dieter Daniel |
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| Institution: | aMax Planck Society, Hofgartenstr. 8, D-80539 Munich, Germany;bETH Zurich, Professorship for Social Psychology and Research on Higher Education, Zähringerstr. 24, CH-8092 Zurich, Switzerland;cUniversity of Zurich, Evaluation Office, Mühlegasse 21, CH-8001 Zurich, Switzerland |
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| Abstract: | This paper presents the first meta-analysis of studies that computed correlations between the h index and variants of the h index (such as the g index; in total 37 different variants) that have been proposed and discussed in the literature. A high correlation between the h index and its variants would indicate that the h index variants hardly provide added information to the h index. This meta-analysis included 135 correlation coefficients from 32 studies. The studies were based on a total sample size of N = 9005; on average, each study had a sample size of n = 257. The results of a three-level cross-classified mixed-effects meta-analysis show a high correlation between the h index and its variants: Depending on the model, the mean correlation coefficient varies between .8 and .9. This means that there is redundancy between most of the h index variants and the h index. There is a statistically significant study-to-study variation of the correlation coefficients in the information they yield. The lowest correlation coefficients with the h index are found for the h index variants MII and m index. Hence, these h index variants make a non-redundant contribution to the h index. |
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| Keywords: | h index h index variants Meta-analysis Multilevel analysis |
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