Computing continuous core/periphery structures for social relations data with MINRES/SVD

Looking Back and Forging Ahead: Thirty Years of Social Network Research on the World-System

“…These analyses should provide a reasonable road map to future researchers interested in applying these methods or developing new ones, either in the tradition of the classic approach to network roles and positions or the tradition of reduced rank techniques that work well on raw frequency data such as the EDM model (e.g. Borgatti and Everett 1999;Boyd et al 2006a;2006b;De Leeuw and Mair, 2008;Handcock, Raftery and Tantrum 2007;Weller and Romney 1990).…”

“…15 Second, they may provide the means to determine how well a core / periphery model explains a set of cross-national relational 14 Recent work suggests that replacing the product cc T with the product of the first UV from an SVD with imputed diagonal elements may make more sense in the presence of strong asymmetry (Boyd et al 2006b). 15 Also see Handcock, Raftery, and Tantrum 2007 for a very recent model based clustering approach.…”

“…Boyd et. al 2006a;2006b;Borgatti and Everett 1999). Thus, the core / periphery concept in social network analysis captures the extent to which a given graph has a latent core / periphery interaction pattern among actors in the network, and has been implemented across a wide array of substantive contexts, including epidemiology (Jolly et al 2001;Christley et al 2005), small groups (Cummings and Cross 2003), interpersonal networks (Bourgeois and Friedkin 2001), linguistics (Dodsworth 2005), groups in isolated or extreme environments (Johnson, Boster, and Palinkas 2003), networks of creative artists (Uzzi and Spiro 2005), PhD exchange networks (Burris 2004), and knowledge communities of firms (Giuliani and Bell 2005).…”

Global models of networked organization, the positional power of nations and economic development

“…It has been shown that reported imports tend to be slightly more accurate because of the care taken by state agencies to record imports for the purpose of tariffs (Durand, 1953). 10 The correspondence analysis used here is standard, except that the diagonal entries were transformed with the approach of Boyd et al (2010). I refer the interested reader to Weller and Romney (1990) for the technical details.…”

Within-Country Inequality and the Modern World-System: A Theoretical Reprise and Empirical First Step

“…Arrighi and Drangel 1986;Babones 2009;Kentor 2000) and those based on international relationships (e.g. Boyd et al 2010;Clark and Beckfield 2009;Mahutga 2006;Mahutga and Smith 2011;Nemeth and Smith 1985;Snyder and Kick 1979). Indeed, an important middle range debate within the world-system community revolves around the appropriateness of one type over another.…”