On some properties of medians,percentiles, baselines,and thresholds in empirical bibliometric analysis |
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| Institution: | 1. ESPOL Polytechnic University, Escuela Superior Politécnica del Litoral, ESPOL, Facultad de Ingeniería en Electricidad y Computación, Campus Gustavo Galindo Km 30.5 Vía Perimetral, Guayaquil, P.O. Box 09-01-5863, Ecuador;2. Department of Computer Science and Artificial Intelligence, Andalusian Research Institute in Data Science and Computational Intelligence (DaSCI), University of Granada, Granada, 18071, Spain;1. Department of Library and Information Science, National Taiwan University, Taipei, Taiwan;2. Center for Research in Econometric Theory and Applications, National Taiwan University, Taipei, Taiwan;1. Department of Computer Science and Engineering, Daffodil International University, Dhaka 1207, Bangladesh;2. Department of Computer Science, Banaras Hindu University, Varanasi 221005, India;3. DST-Centre for Policy Research, Indian Institute of Science, Bengaluru 560012, India;1. Hasselt University, Belgium;2. KU Leuven, Belgium, University of Antwerp, Belgium;1. School of Statistics, Jilin University of Finance and Economics, Changchun, 130117, China;2. School of Economics and Management, University of Science and Technology Beijing, Beijing, 100083, China |
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| Abstract: | One of the most useful and correct methodological approaches in bibliometrics is ranking. In the context of highly skewed bibliometric distributions and severe distortions caused by outliers, it is often the preferable way of analysis. Ranking methodology strictly implies that “oranges should be compared with oranges, apples with apples”. We should make a “like with like” comparison. Ranks in different fields show how a unit under study is compared to others in its field. But do we always apply an “apples approach” appropriately? Is median really a 50%, quartile a 25%, 10th percentile a 10%? The paper considers theoretical definitions of such terms compared to their real sense in the course of bibliometric research. It is found that in many empirical cases quartiles are not quarters, medians are not halves, world baselines are not unity, and integer thresholds lead to inequality of performance evaluation in different science fields. |
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