Abstract
Network analysis focuses on links among interacting units (actors). Interactions are often derived from the presence of actors at events or activities (two-mode network) and this information is coded and arranged in a typical affiliation matrix. In addition to the relational data, interest may focus on external information gathered on both actors and events. Our aim is to explore the effect of external information on the formation of ties by setting a strategy able to decompose the original affiliation matrix by linear combinations of data vectors representing external information with a suitable matrix of coefficients. This allows to obtain peculiar relational data matrices that include the effect of external information. The derived adjacency matrices can then be analyzed from the network analysis perspective. In particular, we look for groups of structurally equivalent actors obtained through clustering methods. Illustrative examples and a real dataset in the framework of scientific collaboration will give a major insight into the proposed strategy.
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References
Aluja Banet T, Lebart L (1985) Factorial analysis upon a graph. Bull Tech Centre Statist Inform Appl 3: 4–34
Benali H, Escofier B (1990) Analyse factorielle lissée et analyse factorielle des diffèrences locales. Rev Statist Appl 38: 55–76
Burt RS (1976) Positions in networks. Social Forces 55: 93–122
Butts CT (2010) Software Manual for the R sna Package. R package version 2.1
Davis A, Burleigh B, Gardner M, Gardner R (1941) Deep south: a social anthropological study of caste and class. University of Chicago Press, Chicago
De Stefano D, Vitale MP (2009) Exploring the pattern of scientific collaboration networks. In: Ingrassia S, Rocci R (eds) Book of short papers classification and data analysis. CLEUP, Padova, pp 161–164
Ferligoj A, Batagelj V (1982) Clustering with relational constraint. Psychometrika 47: 413–426
Giordano G, Vitale MP (2007) Factorial contiguity maps to explore relational data patterns. Statist Appl 19: 297–306
Glanzel W, Schubert A (2005) Analyzing scientific networks through co-authorship. In: Moed H, Glanzel W, Schmoch U (eds) Handbook of quantitative science and technology research. Springer, Netherlands, pp 257–276
Katz JS, Martin BR (1997) What is research collaboration?. Res Policy 26: 1–18
Lazarsfeld P, Merton RK (1954) Friendship as a social process: a substantive and methodological analysis. In: Berger M, Abel T, Page CH (eds) Freedom and control in modern society. Van Nostrand, New York, pp 18–66
Lebart L (1969) Analyse statistique de la contiguité. Annales de l’ISUP: publications de l’Institut de statistique de l’Université de Paris. ISUP, Paris pp 81–112
Lorrain F, White HC (1971) Structural equivalence of individuals in social networks. J Math Sociol 1: 49–80
McPherson M, Smith-Lovin L, Cook J (2001) Birds of a feather: homophily in social networks. Ann Rev Sociol 27: 415–444
Melin G, Persson O (1996) Studying research collaboration using co-authorships. Scientometrics 36: 363–377
Robins GL, Pattison P, Kalish Y, Lusher D (2007) An introduction to exponential random graph (p*) models for social networks. Social Netw 29: 173–191
Rogers EM (2003) Diffusion of innovations, 5th edn. Free Press, New York
Searle SR (1997) Linear models. Wiley, NewYork
Suits DB (1957) Use of dummy variables in regression equations. JASA 52(280): 548–551
Wasserman S, Faust K (1994) Social network analysis: methods and applications. Cambridge University Press, Cambridge
White H, Boorman S, Breiger R (1976) Social structure from multiple networks: I. Blockmodels of roles and positions. Am J Sociol 81: 730–780
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Giordano, G., Vitale, M.P. On the use of external information in social network analysis. Adv Data Anal Classif 5, 95–112 (2011). https://doi.org/10.1007/s11634-010-0080-5
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DOI: https://doi.org/10.1007/s11634-010-0080-5