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I happened to come across this section on page 165 of Tom Valente's very helpful book Social Networks and Health (2010) today, and I think it might help to solve your question:
 
"Out-degree is always included in an actor-based model to control for density.  Out-degree parameter estimates are almost always negative, which suggests that ties are structured and nonrandom (a positive out-degree would indicate that network structures would tend to become decentralized with a density of 50%)."
 
Hope this helps,
 
Adam
 
Adam Jonas, M.A.
Center on Drug and Alcohol Research
University of Kentucky
333 Waller Avenue
Lexington, KY 40504-2915
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From: Social Networks Discussion Forum [[log in to unmask]] On Behalf Of Ian McCulloh [[log in to unmask]]
Sent: Wednesday, March 21, 2012 6:44 AM
To: [log in to unmask]
Subject: Re: [SOCNET] Need suggestions and comments

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It is common in face to face networks for outdegree to be significant with a negative coefficient.  This is due to the social cost of maintaining a link.  

Ian McCulloh

On Mar 20, 2012, at 10:33 PM, Shahadat Uddin <[log in to unmask]> wrote:

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Dear SOCNET Scientists,

 

I have a longitudinal dataset (at four time points). To analyze evolutionary dynamics for this dataset I applied stochastic actor-based models using RSiena. I found out-degree as playing statistically significant role in this evolution process (i.e., ratio of error and estimation is more than 2).

 

Is that mean those actors who have higher out-degree centrality values play major role compared to those who have lower out-degree centrality values in the evolution process of my dataset?

 

Please clear me in this respect?

 

Regards

Shahadat

 

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