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mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor=white lang=EN-US link=blue vlink=purple style='tab-interval:.5in'> <div class=WordSection1> <h3 style='margin:0in;margin-bottom:.0001pt;line-height:16.8pt'><span style='font-size:16.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";mso-bidi-font-weight:normal'>Workshop on Statistical Methods for the Analysis of Network and Relational Data<o:p></o:p></span></h3> <h3 style='margin:0in;margin-bottom:.0001pt;line-height:16.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><a href="http://www.ma.utexas.edu">Department of Mathematics</a>, <a href="http://www.utexas.edu">UT Austin</a> <br> </span><span style='font-size:12.0pt;font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman";color:#888888; font-weight:normal'>University of Texas at Austin, Friday May 10<sup>th</sup>, 2013<o:p></o:p></span></h3> <p class=MsoNormal><span style='font-size:12.0pt;font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman";color:#888888'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>The workshop will feature tutorials and discussions on current challenges in the statistical analysis of network and relational data.<span style="mso-spacerun:yes">  </span>Some topics that will be covered include:<o:p></o:p></span></p> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Exponential random graphs.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Stochastic <span class=SpellE>blockmodels</span>.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Latent social space models.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Network sampling.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Non-ignorable network sampling designs.<o:p></o:p></span></p> <p class=MsoListParagraphCxSpLast style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-family:Symbol;mso-fareast-font-family:Symbol;mso-bidi-font-family: Symbol'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Causal inference with (social) interference.<o:p></o:p></span></p> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <pre><span style='font-family:Arial;mso-bidi-font-family:Courier'>There is no fee associated with participation in this workshop.<span style="mso-spacerun:yes">  </span>However, for organizational reasons, please fill out the registration form at the link below.<o:p></o:p></span></pre> <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><a href="http://www.ma.utexas.edu/harrington13/registration">Participant Registration</a><span style='mso-tab-count:3'>                                </span><o:p></o:p></span></h3> <div> <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><a href="http://www.ma.utexas.edu/harrington13/poster_networkworkshop.pdf">Conference Poster</a><o:p></o:p></span></h3> <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Schedule<o:p></o:p></span></h3> <p class=MsoNormal style='margin-bottom:12.0pt;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>The conference will take place in <a href="http://www.utexas.edu/maps/main/buildings/cla.html">Liberal Arts Building (CLA) </a>, Room 1.106 <o:p></o:p></span></p> <h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Friday, May 10<sup>th</sup> <o:p></o:p></span></h4> <table class=MsoNormalTable border=1 cellpadding=0 width="73%" style='width:73.6%;mso-cellspacing:2.0pt;background:#F8F8F8;border:outset 1.5pt; mso-yfti-tbllook:1184;mso-padding-alt:2.0pt 2.0pt 2.0pt 2.0pt'> <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>10:00am - 10:30am<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Registration<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:1'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>10:30am - 12:00pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="http://stat.psu.edu/people/drh20">David Hunter</a>:<span style="mso-spacerun:yes">  </span>Scalable methods for the statistical modeling of networks<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:2'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>12:00pm - 1:00pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Lunch break<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:3'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>1:00pm - 2:30pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="http://www.stat.harvard.edu/faculty_page.php?page=airoldi.html">Edo <span class=SpellE>Airoldi</span></a>:<span style="mso-spacerun:yes">  </span>Statistical design and analysis of experiments on social media platforms<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:4'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>2:30pm - 2:45pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Coffee break<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:5'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>3:00pm - 4:30pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="http://www.stat.washington.edu/hoff/">Peter Hoff</a>:<span style="mso-spacerun:yes">  </span>Likelihoods for fixed rank nomination networks<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:6'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>4:30pm - 5:30pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Roundtable:<span style="mso-spacerun:yes">  </span>Current challenges in the analysis of network and relational data<o:p></o:p></span></p> </td> </tr> <tr style='mso-yfti-irow:7;mso-yfti-lastrow:yes'> <td width="20%" style='width:20.38%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>5:30pm - 6:30pm<o:p></o:p></span></p> </td> <td width="78%" style='width:78.5%;padding:2.0pt 2.0pt 2.0pt 2.0pt'> <p class=MsoNormal><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>Reception<o:p></o:p></span></p> </td> </tr> </table> </div> <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Abstracts<o:p></o:p></span></h3> <h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><em><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>David Hunter</span></em><i style='mso-bidi-font-style:normal'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>:</span></i><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'> <span style="mso-spacerun:yes"> </span></span><span style='font-family:Helvetica; mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:Helvetica'>Scalable methods for the statistical modeling of networks</span><span style='font-family: Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></h4> <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-size:9.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>The increasing availability of large network datasets is creating more demand for statistical methods adapted to these datasets. &nbsp;This talk will consist of three parts: &nbsp;First, I will introduce and discuss exponential-family random graph models (ERGMs). &nbsp;Then I will point out weaknesses of these models with regard to their scalability and describe two different modeling methods, each of which retains certain ERGM aspects while modifying others, that may be applied to large datasets such as those derived from social networks on the <span class=GramE>internet</span>. &nbsp;The first method leverages ideas from survival and event history analysis to a continuous-time <span class=GramE>regression modeling</span> framework for network event data that can incorporate both time-varying network statistics and time-varying regression coefficients. &nbsp;&nbsp;This framework can apply to both egocentric processes defined for individual nodes and relational processes defined for pairs of nodes. &nbsp;The second method describes a <span class=GramE>network clustering</span> framework, based on finite mixture models, that can be applied to discrete-valued networks with hundreds of thousands of nodes and billions of edge variables. &nbsp;We discuss various improvements relative to other recent model-based clustering work for networks, including a more flexible modeling framework, improvements to the <span class=SpellE>variational</span>-approximation estimation algorithm, implementation of standard error estimation via a parametric bootstrap approach, and application of these methods to much larger datasets than those seen elsewhere in the literature.<o:p></o:p></span></p> <h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><em><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Edo <span class=SpellE>Airoldi</span></span></em><i style='mso-bidi-font-style:normal'><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>:</span></i><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <span style="mso-spacerun:yes"> </span>Statistical design and analysis of experiments on social media platforms<o:p></o:p></span></h4> <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-size:9.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>A number of scientific endeavors of current national and international interest involve populations with interacting and/or interfering units. In these problems, measurements about interactions and interference (e.g., social structure and familial relations) are available, in addition to traditional measurements about unit-level outcomes and covariates. Formal statistical models for the analysis of this type of data have emerged as a major topic of interest in diverse areas of science. In this talk, I will review a few ideas and open research problems that are central to this burgeoning literature, placing emphasis on inference and other core statistical issues. Then I will turn to describe recent work on a subset of these problems, including: (1) a new notion of non-<span class=SpellE>ignorability</span> that applies to network sampling designs, (2) an inference strategy that can be used to obtain valid estimates in these settings, (3) a strategy to extend the <span class=SpellE>Neyman</span>-Rubin framework for estimating causal effects in the presence of social interference, (4) a wavelet decomposition for large&nbsp;<span class=GramE>networks&nbsp; and</span> (5) elements of a statistical formalism for network-<span class=SpellE>variate</span> random variables. I will illustrate these methods with applications to marketing on social media platforms in which these statistical problems arise.<o:p></o:p></span></p> <h4 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><em><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>Peter Hoff</span></em><i style='mso-bidi-font-style:normal'><span style='font-family:Arial;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'>:</span></i><span style='font-family:Arial;mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'><span style="mso-spacerun:yes">  </span>Likelihoods for fixed rank nomination networks<o:p></o:p></span></h4> <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-size:9.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Many studies that gather social network data use survey methods that lead to censored, missing or otherwise incomplete information. For example, the popular fixed rank nomination (FRN) scheme, often used in studies of schools and businesses, allows study participants to nominate and rank at most a small number of contacts or friends, leaving the existence other relations uncertain. However, most statistical models are formulated in terms of completely observed binary networks. Statistical analyses of FRN data with such models ignore the censored and ranked nature of the data and could potentially result in misleading statistical inference. We compare parameter estimates obtained from a likelihood for complete binary networks to those from a likelihood that is derived from the FRN scheme, and show that the binary likelihood can provide misleading inference, at least for certain model parameters. In an analysis of several adolescent social networks, the parameter estimates from the binary and FRN likelihoods lead to substantively different conclusions, indicating the importance of analyzing FRN data with a method that accounts for the FRN survey design.<o:p></o:p></span></p> <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-size:10.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";font-weight:normal;mso-bidi-font-weight: bold'>For questions about the workshop, please contact the organizer at <a href="mailto:rodriguez@math.utexas.edu?subject=Workshop%20Statistical%20Methods%20for%20the%20Analysis%20of%20Network%20and%20Relational%20Data">rodriguez@math.utexas.edu</a>.<o:p></o:p></span></h3> <pre><i style='mso-bidi-font-style:normal'><span style='font-family:Arial; mso-bidi-font-family:Courier'>The workshop is being sponsored by <o:p></o:p></span></i></pre> <blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'> <p class=MsoNormal align=center style='margin-left:-.5in;text-align:center; tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span style='font-size:9.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="Picture_x0020_4" o:spid="_x0000_i1025" type="#_x0000_t75" alt="Description: ut_logo.jpg" style='width:183pt;height:83pt;visibility:visible; mso-wrap-style:square'> <v:imagedata src="" o:title="ut_logo.jpg"/> </v:shape><![endif]--><![if !vml]><img border=0 width=185 height=85 src="index_files/image001.png" alt="Description: ut_logo.jpg" v:shapes="Picture_x0020_4"><![endif]></span><span style='mso-no-proof:yes'><span style="mso-spacerun:yes"> </span><span style='mso-tab-count:2'>                              </span></span><span style='font-size:9.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_5" o:spid="_x0000_i1026" type="#_x0000_t75" alt="Description: harrington_logo.jpg" style='width:174pt;height:104pt;visibility:visible;mso-wrap-style:square'> <v:imagedata src="" o:title="harrington_logo.jpg"/> </v:shape><![endif]--><![if !vml]><img border=0 width=176 height=106 src="index_files/image002.png" alt="Description: harrington_logo.jpg" v:shapes="Picture_x0020_5"><![endif]></span><span style='font-size:9.0pt;font-family:Arial;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> </blockquote> </div> </body> </html>