The Evolution and Formation of Amicus Curiae Networks Janet M. Box-Steffensmeier∗ Dino P. Christenson† Contents 1 Appendix: Supplementary Materials 1.1 Labeled Nodes in Graphs of Egocentric Networks . . . . . . . . . . . . . . . 1.2 ERGMs by Decade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.3 Bipartite ERGM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 1 1 List of Figures 1 2 3 Egocentric Network of National Wildlife Federation . . . . . . . . . . . . . . Egocentric Network of National Association of Criminal Defense Lawyers . . Egocentric Network of American Civil Liberties Union . . . . . . . . . . . . 2 3 4 List of Tables 1 2 ERGMs of Interest Group Coalitions by Decade, 1930s-2000s . . . . . . . . . Bipartite ERGM of Interest Group Coalitions, 2000-2009 . . . . . . . . . . . 5 6 ∗ Vernal Riffe Professor, Department of Political Science, The Ohio State University, 2140 Derby Hall, 154 N. Oval Mall, Columbus, Ohio 43210 (steffensmeier.2@osu.edu). † Assistant Professor, Department of Political Science, Boston University, 232 Bay State Road, Boston, MA 02215 (dinopc@bu.edu). 1 1.1 Appendix: Supplementary Materials Labeled Nodes in Graphs of Egocentric Networks Fig. 4 in the text presents the egocentric networks of three central players: the NWF, the NACDL and the ACLU. We have annotated the clusters in the graph in the text based on their issues. Here we present graphs with labeled nodes. 1.2 ERGMs by Decade We also estimated ERGMs parameterized with measures of density, isolates and 2-stars by decade to assess the dynamics of each property, controlling for the others. We find that the results suggest a similar picture to that painted by the more naive univariate network statistics presented in the text. 1.3 Bipartite ERGM The data can be built as a time-indexed bipartite network, but we are currently collapsing over time (by decade) and projecting onto interest groups for theoretical reasons, as discussed in the text. There are alternative ways to analyze the data including valued-regression, if we collapsed in time and projected while keeping the edge weights, or bipartite regression, if we collapsed over time, but did not project (Wang et al. 2009), or TERGMs if we projected, but did not collapse over time (Hanneke & Xing 2007, Desmarais & Cranmer 2010). Another interesting approach is Opsahl’s (forthcoming) work, which offers new definitions and calculations for clustering coefficients in two-mode networks. The development of the options for these relatively new approaches is currently an active area of research. Examining these alternative approaches will lead to a better understanding of all facets of this large dataset, but it is beyond the scope of our current paper. Below we present the results of the ERGM for the same network specified with a bipartite structure: interest groups linked to briefs which may be linked to other interest groups. We find that the inferences are largely consistent regardless of whether we conceive of the network as bipartite or a one mode projection. References Desmarais, B. A. & S. J. Cranmer. 2010. “Analyzing longitudinal networks: the temporal exponential random graph model.” Presented at the Annual Meeting of the Midwest Political Science Association. Hanneke, S. & E. P. Xing. 2007. Discrete temporal models of social networks. In Statistical network analysis: Models, issues, and new directions. Berlin, Germany: Springer pp. 115–125. Wang, P., K. Sharpe, G.L. Robins & P.E. Pattison. 2009. “Exponential random graph (p*) models for affiliation networks.” Social Networks 31(1):12–25. 1 2 AMERICAN.HEART.ASSOCIATION CENTER.ON.PHILANTHROPY NATIONAL.MARFAN.FOUNDATION NATIONAL.HEALTH.COUNCIL COLORADO.ASSOCIATION.OF.NONPROFIT.ORGANIZATIONS COUNCIL.FOR.ISLAMIC.SOCIETY.OF.NORTH.AMERICA NATIONAL.CIVIC.LEAGUE ASSOCIATION.OF.FUNDRAISING.PROFESSIONALS LEARNING.CENTER AMERICAN.SYMPHONY.ORCHESTRA.LEAGUE ASPIRA.ASSOCIATION NATIONAL.MULTIPLE.SCLEROSIS.SOCIETY CIVICUS..WORLD.ALLIANCE.FOR.CITIZEN.PARTICIPATION AMERICAN.SOCIETY.OF.ASSOCIATION.EXECUTIVES NATIONAL.PUERTO.RICAN.FORUM ANGELCARE COMMUNITY.ANTI.DRUG.COALITIONS.OF.AMERICAN NATIONAL.FFA.FOUNDATION ADVOCACY.INSTITUTE COOPERATIVE.FOR.ASSISTANCE.AND.RELIEF.EVERYWHERE CATHOLIC.CHARITIES.OF.SANTA.CLARA.COUNTY KIDNEY.CANCER.ASSOCIATION PUBLIC.LANDS.FOUNDATION NOW.LEGAL.DEFENSE.AND.EDUCATION.FUND ALABAMA.RIVERS.ALLIANCE MAINE.RIVERS MOUNTAIN.MEADOWS.CONSERVANCY FRIENDS.OF.EEL.RIVER FRIENDS.OF.MERRYMEETING.BAY 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FLORIDA.IMMIGRANT.ADVOCACY.CENTER WOMEN.WORK NORTHWEST.WOMENS.LAW.CENTER AMERICAN.CIVIL.LIBERTIES.UNION.OF.SAN.DIEGO.AND.IMPERIAL.COUNTIES LEGAL.MOMENTUM DADS.AND.DAUGHTERS FEMINIST.MAJORITY EQUAL.RIGHTS.ADVOCATES WOMENS.LAW.PROJECT LEGAL.AID.SOCIETY...EMPLOYMENT.LAW.CENTER CENTER.FOR.CONSTITUTIONAL.RIGHTS NATIONAL.ASSOCIATION.OF.CRIMINAL.DEFENSE.LAWYERS AMERICAN.ASSOCIATION.OF.UNIVERSITY.WOMEN AMERICAN.CIVIL.LIBERTIES.UNION.OF.SOUTHERN.CALIFORNIA AMERICAN.JEWISH.COMMITTEE AMERICAN.IMMIGRATION.LAWYERS.ASSOCIATION COMMITTEE.FOR.PUBLIC.COUNSEL.SERVICES ASIAN.AMERICAN.JUSTICE.CENTER PEOPLE.FOR.THE.AMERICAN.WAY DEFENDING.IMMIGRANTS.PARTNERSHIP COALITION.OF.LABOR.UNION.WOMEN NATIONAL.EDUCATION.ASSOCIATION REPORTERS.COMMITTEE.FOR.FREEDOM.OF.THE.PRESS NATIONAL.COUNCIL.OF.LA.RAZA OLDER.WOMENS.LEAGUE DKT.LIBERTY.PROJECT CALIFORNIA.WOMENS.LAW.CENTER TRIAL.LAWYERS.FOR.PUBLIC.JUSTICE AMERICAN.ASSOCIATION.FOR.JUSTICE HADASSAH LEGAL.VOICE AMERICAN.CIVIL.LIBERTIES.UNION.OF.EASTERN.MISSOURI DISTRICT.OF.COLUMBIA.EMPLOYMENT.JUSTICE.CENTER NATIONAL.COUNCIL.OF.JEWISH.WOMEN NATIONAL.ASSOCIATION.OF.SOCIAL.WORKERS SOCIETY.OF.PROFESSIONAL.JOURNALISTS SARGENT.SHRIVER.NATIONAL.CENTER.ON.POVERTY.LAW AMERICAN.CIVIL.LIBERTIES.UNION.OF.VIRGINIA WOMENS.BAR.ASSOCIATION.OF.THE.DISTRICT.OF.COLUMBIA VULCAN.SOCIETY AMERICAN.CIVIL.LIBERTIES.UNION SOUTHWEST.WOMENS.LAW.CENTER WIDER.OPPORTUNITIES.FOR.WOMEN NATIONAL.JURY.PROJECT FEMINISTS.FOR.FREE.EXPRESSION WOMENS.RESEARCH.AND.EDUCATION.INSTITUTE SOCIOLOGISTS.FOR.WOMEN.IN.SOCIETY PUBLIC.JUSTICE RUTHERFORD.INSTITUTE WOMENS.SPORTS.FOUNDATION WOMENS.LAW.CENTER.OF.MARYLAND NATIONAL.ASSOCIATION.OF.COLLEGIATE.WOMEN.ATHLETICS.ADMINISTRATORS NATIONAL.CAMPAIGN.TO.RESTORE.CIVIL.RIGHTS NATIONAL.COUNCIL.OF.WOMENS.ORGANIZATIONS FEDERAL.PUBLIC.AND.COMMUNITY.DEFENDERS.IN.THE.UNITED.STATES CONNECTICUT.WOMENS.EDUCATION.AND.LEGAL.FUND PICK.UP.THE.PACE NATIONAL.ASIAN.PACIFIC.AMERICAN.WOMENS.FORUM AMERICAN.BOOKSELLERS.FOUNDATION.FOR.FREE.EXPRESSION NORTHWEST..WOMENS.LAW.CENTER ASSOCIATION.FOR.GENDER.EQUITY.LEADERSHIP.IN.EDUCATION CALIFORNIA.ATTORNEYS.FOR.CRIMINAL.JUSTICE NATIONAL.WOMENS.HISTORY.PROJECT WOMENS.ADVOCACY.PROJECT NATIONAL.ASSOCIATION.OF.WOMEN.LAWYERS RADIO.TELEVISION.NEWS.DIRECTORS.ASSOCIATION INSTITUTE.FOR.THE.ADVANCED.STUDY.OF.HUMAN.SEXUALITY NATIONAL.ALLIANCE.FOR.PARTNERSHIPS.IN.EQUITY AMERICAN.CIVIL.LIBERTIES.UNION.OF.PENNSYLVANIA PEN.AMERICAN.CENTER AMERICAN.CIVIL.LIBERTIES.UNION.OF.MARYLAND MYRA.SADKER.ADVOCATES UNION.FOR.REFORM.JUDAISM CONNECTICUT.WOMENS.EDUCATION.AND.LEGAL.DEFENSE.FUND AMERICANS.UNITED.FOR.SEPARATION.OF.CHURCH.AND.STATE BUSINESS.AND.PROFESSIONAL.WOMEN ASSOCIATION.OF.TRIAL.LAWYERS.OF.AMERICA.BUSINESS.AND.PROFESSIONAL.WOMEN.USA AMERICAN.CIVIL.LIBERTIES.UNION.OF.MASSACHUSETTS NATIONAL.ASSOCIATION.OF.COMMISSIONS.FOR.WOMEN CRITTENTON.WOMENS.UNION AMERICAN.CIVIL.LIBERTIES.UNION.OF.ILLINOIS WOMENS.BAR.ASSOCIATION.OF.MASSACHUSETTS MASSACHUSETTS.SOCIETY.FOR.THE.PREVENTION.OF.CRUELTY.TO.CHILDREN MANA.NATIONAL.LATINA.ORGANIZATION FIRST.AMENDMENT.PROJECT NATIONAL.WOMENS.POLITICAL.CAUCUS UNITED.CHURCH.OF.CHRIST CALIFORNIA.PRISON.FOCUS NATIONAL.ALLIANCE.FOR.MEDIA.ARTS.AND.CULTURE AMERICAN.CIVIL.LIBERTIES.UNION.OF.VERMONT NATIONAL.FEDERATION.OF.COMMUNITY.BROADCASTERS NATIONAL.ABORTION.FEDERATION SIKH.COALITION AMERICAN.CIVIL.LIBERTIES.UNION.OF.WASHINGTON AMERICAN.FEDERATION.OF.TELEVISION.AND.RADIO.ARTISTS AMERICAN.CIVIL.LIBERTIES.UNION.OF.COLORADO AMERICAN.FRIENDS.SERVICE.COMMITTEE NEW.YORK.CIVIL.LIBERTIES.UNION BAPTIST.JOINT.COMMITTEE.FOR.RELIGIOUS.LIBERTY NATIONAL.COALITION.AGAINST.CENSORSHIP MINNESOTA.PUBLIC.RADIO.AMERICAN.PUBLIC.MEDIA AMERICANS.FOR.RELIGIOUS.LIBERTY AMERICAN.CIVIL.LIBERTIES.UNIONN.OF.NORTHERN.CALIFORNIA WASHINGTON.AREA.LAWYERS.FOR.THE.ARTS DIRECTORS.GUILD.OF.AMERICA CATO.INSTITUTE Figure 3: Egocentric Network of American Civil Liberties Union Table 1: ERGMs of Interest Group Coalitions by Decade, 1930s-2000s 1930s Density 2-stars Isolates 1940s Density 2-stars Isolates 1950s Density 2-stars Isolates 1960s Density 2-stars Isolates 1970s Density 2-stars Isolates 1980s Density 2-stars Isolates 1990s Density 2-stars Isolates 2000s Density 2-stars Isolates Estimate Std. Error -7.58E+19 7.97E+13 3.64E+14 0.00E+00 0.00E+00 0.00E+00 -1.56E+05 1.16E-01 3.78E+00 5.08E+00 3.04E-05 4.11E-02 -1.56E+05 7.40E-02 3.92E+00 3.38E+03 3.06E-03 1.75E-01 -1.36E+06 6.11E-02 3.07E+00 3.17E-01 9.04E-04 4.98E-02 -1.59E+07 3.44E-02 3.28E+00 4.59E+04 2.21E-04 2.35E-02 -4.98E+07 1.73E-02 3.24E+00 4.08E-10 9.64E-05 1.29E-02 -6.16E+07 1.35E-02 3.47E+00 0.00E+00 6.93E-04 6.32E-01 -9.54E+07 2.04E-02 3.31E+00 0.00E+00 4.94E-04 3.27E-01 5 Table 2: Bipartite ERGM of Interest Group Coalitions, 2000-2009 Estimate Edges -8.351 Interest Group Star 2 0.100 Interest Group Star 3 -0.001 Brief Star 2 0.119 Brief Star 3 -0.002 Budget -0.020 Employees -0.026 Sales -0.017 Founded 0.009 SIC 0.074 Members -0.125 Plant Size -0.020 6 MCMC Std. Err. 1.591 0.402 0.008 0.005 0.000 0.006 0.004 0.009 0.006 0.004 0.001 0.004