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collaborative index

The Collaborative Index (Lawani 1980) is a basic measurement of the degree of collaboration within a set of publications. It is calculated as:

$$\text{CI}=\frac{\sum\limits_{a=1}^{a_\max}{af_a}}{P},$$

where fa is the number of publications having a authors and amax is the largest number of authors for any publication.

Example

# of Authors (a)1234
# of Publications (fa)7335
Product (a×fa)76920

The sum of the products is 42, which yields a collaborative index of 2.3333333333333335 when divided by the total number of publications (18).

History

YearCI
19972.6667
19982.3750
19992.5556
20002.5714
20012.3333
20022.9545
20033.1923
20043.1724
20052.8571
20062.8333
20072.7949
20082.8537
20092.7778
20103.4118
20113.3636
20123.3571
20133.8548
20143.7656
20153.7463
20163.7826
20173.8429
20183.9867
20193.9474
20203.9091
20213.9494
20224.0952
20237.6941
20247.6163

References