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<p class="MsoNormal"><span style="color:#1F497D">Dear Daniel Stefan,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">These type of questions should rather be addressed to the User Group for Siena and StOCNET,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">http://groups.yahoo.com/groups/stocnet/<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">This list is meant especially for programming (coding) issues.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">In your interpretation of this effect, you should take in the understanding that the outdegree effect itself is also included, and the parameters will be estimated such that the balance between creation and termination
of ties agrees with the data. Taking a given function and then adding a positive coefficient multiplied by a quadratic function of the outdegree, (and note that the added quadratic function will because of the estimation be centered at the value where the
balance occurs) imply that for current low oudegrees, the push to lower values will be relatively amplified, while for high outdegrees, the push to higher values will be relatively amplified.
<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Best regards,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Tom<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<div>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">================================================================<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Tom A.B. Snijders<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Professor of Statistics and Methodology<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Dept. of Sociology, University of Groningen<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Emeritus Fellow, Nuffield College, University of Oxford<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">Associate Member, Dept. of Statistics, University of Oxford<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D">http://www.stats.ox.ac.uk/~snijders/<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
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<p class="MsoNormal"><b><span lang="EN-US" style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">From:</span></b><span lang="EN-US" style="font-size:10.0pt;font-family:"Tahoma","sans-serif""> rsiena-help-bounces@lists.r-forge.r-project.org [mailto:rsiena-help-bounces@lists.r-forge.r-project.org]
<b>On Behalf Of </b>Daniel Stefan Hain<br>
<b>Sent:</b> 16 September 2015 15:05<br>
<b>To:</b> rsiena-help@lists.r-forge.r-project.org<br>
<b>Subject:</b> [Rsiena-help] Interpretation of the outdegree activity effect<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><span lang="EN-US">Hello dear group,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">I have a question regarding the outdegree activity effect in directed networks. The manual describes it as:<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">The out-degree activity effect (with or without ‘sqrt’) reflects tendencies to actors with high out-degrees to send out extra outgoing ties ‘because’ of their high current out-degrees. This also leads to dispersion in
out-degrees of the actors.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">But, as I see in the formula, it is just the squared amount of an ego’s outdegrees. Wouldn’t that rather test for an “inverse U-shape” effect of outdegrees, in a way that their marginal effect follows a curvelinear function,
where they first matter less, then more, then less again?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">In the same manner, how could the squareroot version of this effect, which is basically the squareroot of an egos outdegrees?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Thank you very much in advance helping me solving my confusion.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Best wishes<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="margin-bottom:12.0pt"><b><span lang="EN-US" style="font-size:10.0pt;font-family:"Arial","sans-serif";color:#211A52;letter-spacing:1.0pt">Daniel S. Hain</span></b><b><span lang="EN-US" style="font-size:2.0pt;font-family:"Arial","sans-serif";color:#211A52;letter-spacing:1.0pt"><br>
<br>
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