# Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
← Back to introduction

## weighted citation aggregate (proportional)

The proportional weighted citation aggregate (Abbas 2011) is a weighted count of an author's citations (an alternative to CP), where the weighting is based on the total number of authors of each publication and their position within the author list (ai) under an assumption of proportionally decreasing credit with respect to their position.

$$\psi_p=\sum\limits_{i=i}^{P}{\frac{C_i}{\frac{A_i\left(A_i+1\right)}{2\left(A_i+1-a_i\right)}}}=\sum\limits_{i=i}^{P}{C_i\frac{2\left(A_i+1-a_i\right)}{A_i\left(A_i+1\right)}}$$

Yearψp
19970.7000
19985.5333
199914.7667
200028.1333
200163.0667
2002117.4595
2003184.5651
2004284.7465
2005406.8348
2006573.7328
2007739.8266
2008918.8074
20091128.5915
20101358.2733
20111569.1685
20121750.2254
20131955.3478
20142159.6334
20152351.4723
20162537.8474
20172680.2157

## References

• Abbas, A.M. (2011) Weighted indices for evaluating the quality of research with multiple authorship. Scientometrics 88:107–131.