Citation indices and dimensional homogeneity

The importance of dimensional analysis and dimensional homogeneity in bibliometric studies is always overlooked. In this paper, we look at this issue systematically and show that most h-type indices have the dimensions of [P], where [P] is the basic dimensional unit in bibliometrics which is the unit publication or paper. The newly introduced Euclidean index, based on the Euclidean length of the citation vector has the dimensions [P3/2]. An empirical example is used to illustrate the concepts.

[1]  Wolfgang Glänzel,et al.  Diversity of references as an indicator of the interdisciplinarity of journals: Taking similarity between subject fields into account , 2016, J. Assoc. Inf. Sci. Technol..

[2]  L. Egghe.  An improvement of the h-index: the g-index , 2006 .

[3]  E. Garfield.  Journal impact factor: a brief review. , 1999, CMAJ : Canadian Medical Association journal = journal de l'Association medicale canadienne.

[4]  Loet Leydesdorff,et al.  Integrated Impact Indicators (I3) compared with Impact Factors (IFs): An alternative research design with policy implications , 2011, J. Assoc. Inf. Sci. Technol..

[5]  Gangan Prathap,et al.  Quantity, quality, and consistency as bibliometric indicators , 2014, J. Assoc. Inf. Sci. Technol..

[6]  Gangan Prathap,et al.  The Energy–Exergy–Entropy (or EEE) sequences in bibliometric assessment , 2011, Scientometrics.

[7]  J. S. Katz,et al.  Scale-Independent Bibliometric Indicators , 2005 .

[8]  E. Garfield.  The history and meaning of the journal impact factor. , 2006, JAMA.

[9]  Jonathan Adams,et al.  Comments on a critique of the Thomson Reuters journal impact factor , 2012, Scientometrics.

[10]  Loet Leydesdorff,et al.  How are new citation-based journal indicators adding to the bibliometric toolbox? , 2009, J. Assoc. Inf. Sci. Technol..

[11]  Johan Bollen,et al.  A Principal Component Analysis of 39 Scientific Impact Measures , 2009, PloS one.

[12]  Jens Peter Andersen,et al.  Empirical and theoretical consequences of using the Euclidean Index for assessing individual scholarly impact , 2016, ArXiv.

[13]  J. E. Hirsch,et al.  An index to quantify an individual's scientific research output , 2005, Proc. Natl. Acad. Sci. USA.

[14]  Philip J. Reny,et al.  How To Count Citations If You Must , 2016 .

[15]  L. Egghe,et al.  Theory and practise of the g-index , 2006, Scientometrics.

[16]  Jens Peter Andersen,et al.  An empirical and theoretical critique of the Euclidean index , 2016, J. Informetrics.

[17]  Gangan Prathap,et al.  The zynergy‐index and the formula for the h‐index , 2014, J. Assoc. Inf. Sci. Technol..

[18]  E GARFIELD,et al.  Citation indexes for science; a new dimension in documentation through association of ideas. , 2006, Science.

[19]  Gangan Prathap,et al.  Quasity, when quantity has a quality all of its own—toward a theory of performance , 2011, Scientometrics.

[20]  Gangan Prathap.  A three-dimensional bibliometric evaluation of research in polymer solar cells , 2014, Scientometrics.