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Does Network Structure Affect the Size of the Network Effect? The Role of Density in the Network Autocorrelation Model

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Abstract:

Researchers interested in the effects of social network ties on behavior are increasingly turning to network autocorrelation models, which allow for the simultaneous computation of individual-level and network-level effects. In this paper we examine the extent to which the effects of network ties are contingent on the structure, in particular the density, of the network of which they are a part. There are reasons to believe that the size of the network effect will be independent of density, but there are also reasons to believe that there might be a systematic association between the two. We use computer simulations on randomly generated networks at various levels of density and with three different types of endogenous variables to examine whether an association exists between density and the size of the network effect. We find that the effect is either stable or slightly negative from low density levels up to a density of about .85. At densities above this point, the size of the network effect begins to sharply decline. We examine several alternative conditions to test for the robustness of this effect. There is some indication that the association between density and the network effect is curvilinear—strongly negative at both very low and very high levels of density and closer to zero at intermediate levels.

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hing (2), 0. (1), f computin (1), f siz (1), deal se (1), networ (1), he minimu (1), onditions—whe (1), solates i (1), onsequence (1), liminate (1), xactly on (1), onsist (1), hain (1), epresent (1), hu (1), (N (1), ] I (1), o (1), n whic (1), -1 (1),

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network autocorrelation models, network methods
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Name: American Sociological Association
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http://www.asanet.org


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URL: http://citation.allacademic.com/meta/p21400_index.html
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MLA Citation:

Mizruchi, Mark., Neuman, Eric. and Marquis, Christopher. "Does Network Structure Affect the Size of the Network Effect? The Role of Density in the Network Autocorrelation Model" Paper presented at the annual meeting of the American Sociological Association, Marriott Hotel, Loews Philadelphia Hotel, Philadelphia, PA, Aug 12, 2005 <Not Available>. 2017-10-10 <http://citation.allacademic.com/meta/p21400_index.html>

APA Citation:

Mizruchi, M. , Neuman, E. and Marquis, C. G. , 2005-08-12 "Does Network Structure Affect the Size of the Network Effect? The Role of Density in the Network Autocorrelation Model" Paper presented at the annual meeting of the American Sociological Association, Marriott Hotel, Loews Philadelphia Hotel, Philadelphia, PA Online <APPLICATION/PDF>. 2017-10-10 from http://citation.allacademic.com/meta/p21400_index.html

Publication Type: Conference Paper/Unpublished Manuscript
Abstract: Researchers interested in the effects of social network ties on behavior are increasingly turning to network autocorrelation models, which allow for the simultaneous computation of individual-level and network-level effects. In this paper we examine the extent to which the effects of network ties are contingent on the structure, in particular the density, of the network of which they are a part. There are reasons to believe that the size of the network effect will be independent of density, but there are also reasons to believe that there might be a systematic association between the two. We use computer simulations on randomly generated networks at various levels of density and with three different types of endogenous variables to examine whether an association exists between density and the size of the network effect. We find that the effect is either stable or slightly negative from low density levels up to a density of about .85. At densities above this point, the size of the network effect begins to sharply decline. We examine several alternative conditions to test for the robustness of this effect. There is some indication that the association between density and the network effect is curvilinear—strongly negative at both very low and very high levels of density and closer to zero at intermediate levels.


 
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