Power-Weakness Ratios (PWR) as a Journal Indicator; preprint

[Loet Leydesdorff]

The  <http://arxiv.org/abs/1411.0906> "Tournaments" Metaphor in Citation
Impact Studies: 
Power-Weakness Ratios (PWR) as a Journal Indicator


Loet Leydesdorff, Wouter de Nooy, Lutz Bornmann, and Gangan Prathap

 

Ramanujacharyulu's (1964) Power-Weakness Ratio (PWR) measures impact by
recursively multiplying the citation matrix by itself until convergence is
reached in both the cited and citing dimensions; the quotient of these
values is defined as PWR, whereby "cited" is considered as power and
"citing" as weakness. In this study, PWR is explained in relation to other
size-independent recursive metrics such as Pinski & Narin's (1976) influence
weights, Bergstrom's (2007) Eigenfactor, Brin & Page's (2001) PageRank, and
Kleinberg's (1999) Hubs-and-Authorities from the HITS algorithm. A test
using the set of 83 journals in "information and library science" (according
to the Web-of-Science categorization) converged, but did not provide
interpretable results. Further decomposition of this set into homogeneous
sub-graphs shows that--like most other journal indicators--PWR can perhaps
be used within homogeneous sets, but not across citation communities. Can
convergence of PWR also be used as a tool to test for the homogeneity of
citation patterns within a set? 

 

Preprint available at http://arxiv.org/abs/1411.0906 

 

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