Probabilistic Models in Political Science
Pablo Barber´ a Center for Data Science New York University www.pablobarbera.com
Probabilistic Models in Political Science Pablo Barber a Center - - PowerPoint PPT Presentation
Probabilistic Models in Political Science Pablo Barber a Center for Data Science New York University www.pablobarbera.com 4 / 54 5 / 54 Two approaches to the study of social media and politics: 1. How social media platforms transform
Pablo Barber´ a Center for Data Science New York University www.pablobarbera.com
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. Are social media creating ideological “echo chambers”?
. Can we infer latent individual traits (e.g. political ideology) from online ties (follows, likes...)?
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I Two common patterns about social behavior:
traits (“birds of a feather tweet together”)
reinforces current views and for avoiding opinion challenges.
I Social media networks replicate offline networks. I Key assumption: individuals prefer to follow political
I These decisions contain information about allocation of
I Use this information to estimate ideological locations of
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NYTimeskrugman senrobportman maddow FiveThirtyEight HRC WhiteHouse BarackObama
BarackObama WhiteHouse GOP maddow FoxNews HRC . . .
ryanpetrik 1 1 1 1 . . . user 2 1 1 . . . user 3 1 1 . . . user 4 1 1 1 . . . user 5 1 1 . . . . . . user n 1 1 . . . 8 / 54
I Users’ and politicians’ ideology (✓i and j) are defined as
I Data: “following” decisions, a matrix of binary choices (Yij). I Spatial following model: for n users, indexed by i, and m
↵j measures popularity of politician j i measures political interest of user i is a normalizing constant
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φj1 = −1.51 αj1 = 3.51 φj2 = 1.09 αj2 = 2.59
−2 2
θi, Ideology of Twitter user i Pr(yij = 1)
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I Goal of learning:
I ✓i: ideological positions of users i = 1, . . . , n I j: ideological positions of political accounts j = 1, . . . , m
I Likelihood function:
n
i=1 m
j=1
I Exact inference is intractable → MCMC (approx. inference) I Estimation:
I First stage: HMC in Stan with random sample of Y to compute
posterior distribution of j-indexed parameters.
I Second stage: parallelized MH in R for rest of i-indexed
parameters (assuming independence), on NYU’s HPC.
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I m = list of 620 popular political accounts in the U.S.
→ Legislators, president, candidates, other political figures, media outlets, journalists, interest groups. . .
I n = followers of at least one of these accounts
→ 30.8M users (∼75% of U.S. users) → 100K of these were matched with voter files
I States: AK, CA, FL, OH, PA. I Unique, perfect matches on first and last name, and county.
I Code:
I Method: github.com/pablobarbera/twitter ideology I Applications: github.com/SMAPPNYU/echo chambers I Data collection: streamR, Rfacebook packages for R
(available on CRAN)
I Data analysis: github.com/pablobarbera/pytwools (python) 12 / 54
@HillaryClinton @nancypelosi @VP @BarackObama Median House D Median Senate D @senjohnmccain Median Senate R Median House R @sentedcruz
@maddow @NPR @msnbc @nytimes @cnnbrk @washingtonpost @FoxNews @DRUDGE_REPORT @glennbeck @limbaugh
@glaad @OccupyWallSt @dailykos @aclu @hrw @BrookingsInst @RANDCorporation @CatoInstitute @AEI @Heritage @nra @redstate
Political Actors Media Interest Groups −1.5 0.0 1.5 −1.5 0.0 1.5 −1.5 0.0 1.5
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I Correlation with measures based on roll-call votes.
I Individual and aggregate-level survey responses I Voting registration files
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House Senate
ρR = 0.46
ρR = 0.63
−2 −1 1 2 −2 −1 1 2 −2 −1 1 2
Estimated Twitter Ideal Points Ideology Estimates Based on Roll−Call Votes (Simon Jackman's ideal point estimates)
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AL AZ AR CA CO CT DE FL GA ID IL IN IA KS KY LA ME MD MA MI MN MS MO MT NE NV NH NJ NM NY NC ND OH OK OR PA RI SC SD TN TX UT VT VA WA WV WI WY
ρ = −0.916 40% 45% 50% 55% −0.4 −0.2 0.0 0.2 0.4 0.6
Ideology of Median Twitter User in Each State Mean Liberal Opinion (Lax and Phillips, 2012)
ρ = 0.791
−0.5 0.0 0.5 −0.6 −0.4 −0.2 0.0 0.2 0.4
Ideology of Median Twitter User in Each City Public Preference Estimate (Tausanovitch and Warshaw, 2013) 16 / 54
California Florida Ohio Pennsylvania −2 −1 1 2 Dem Rep Dem Rep Dem Rep Dem Rep Dem Rep
Party Registration θi, Twitter−Based Ideology Estimates
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@nytimes @msnbc @JimWebbUSA @HillaryClinton @POTUS @LincolnChafee @MotherJones @GovernorOMalley @SenSanders @SenWarren @tedcruz @RealBenCarson @ScottWalker @RandPaul @rushlimbaugh @BobbyJindal @GovernorPerry @GovernorPataki @JohnKasich @marcorubio @DRUDGE_REPORT @RepPaulRyan @GrahamBlog @GovMikeHuckabee @JebBush @RickSantorum @FoxNews @GovChristie @CarlyFiorina @realDonaldTrump @WSJ Average Republican in 114th Congress Average Twitter User Average Democrat in 114th Congress
−2 −1 1 2
Position on latent ideological scale
Twitter ideology scores of potential Democratic and Republican presidential primary candidates
Barber´ a “Who is the most conservative Republican candidate for president?” The Washington Post, June 16 2015
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Tweets mentioning Obama Tweets mentioning Romney 50K 100K −2 2 −2 2
Estimated Ideology Count of Sent Tweets Obama Romney −2 −1 1 2 −2 −1 1 2 −2 −1 1 2
Estimated Ideology of Author Estimated Ideology of Retweeter
0.00% 0.25% 0.50% 0.75% 1.00% 1.25% % of Tweets
Barber´ a (2015) “Birds of the Same Feather Tweet Together: Bayesian Ideal Point Estimation Using Twitter Data.” Political Analysis
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Barber´ a, Jost, Nagler, Tucker, & Bonneau (2015) “Tweeting From Left to Right: Is Online Political Communication More Than an Echo Chamber?” Psychological Science
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. As voters are able to directly interact with politicians, does the quality of political representation improve?
. Are legislators’ and citizens’ social media messages a valid proxy for the attention they give to different political issues?
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Barber´ a, Nagler, Egan, Bonneau, Jost, & Tucker (2014) “Leaders or Followers? Measuring Political Responsiveness in the U.S. Congress Using Social Media Data.” APSA Conference Paper.
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651,116 tweets by Members of U.S. Congress, from Jan. 1, 2013 to
Political Participation Lab (SMaPP) using Twitter’s Streaming API.
20 Feb−13 May−13 Aug−13 Nov−13 Feb−14 May−14 Aug−14 Nov−14 Feb−15
Tweets per Week
Members
House Republicans Senate Democrats Senate Republicans
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I Followers of 5 major media outlets (CNN, FoxNews, MSNBC,
NYT, WSJ) located in U.S. (filtered by time zone)
I Random sample of 10,000 (out of ∼30M)
I Follow 3+ Rep MCs and no Dem MCs I Random sample of 10,000 (out of 203,140)
I Follow 3+ Dem MCs and no Rep MCs I Random sample of 10,000 (out of 67,843) 28 / 54
Table : Number of tweets in dataset
Period of analysis: January 1, 2013 to December 31, 2014.
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I 273,007 tweets from 36 largest media outlets in U.S. (print,
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I Each document is a mixture over K = 100 latent topics. I Topics are distributions over V = 75, 000 n-grams (up to
trigrams, selected by frequency; keeping hashtags)
I Estimated parameters:
ˆ β Distribution of n-grams over topics (K × V) ˆ θ Distribution of topics over documents (K × N)
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I Topic models are powerful tools for exploring large data sets
!"#$%&'() *"+,#)
+"/,9#)1 +.&),3&'(1 "65%51 :5)2,'0("'1 .&/,0,"'1
2,'3$1 4$3,5)%1 &(2,#)1 6$332,)%1 )+".()1 65)&65//1 )"##&.1 65)7&(65//1 8""(65//1
New+document+ What+is+this+document+about?+
Words+w1,+…,+wN+
θ
Distribu6on+of+topics+
weather+ .50+ finance+ .49+ sports+ .01+
I LDA is one of the simplest and most widely used topic
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I Document = random mixture over latent topics I Topic = distribution over n-grams
I Choose a topic zm ∼ Multinomial(✓i) I Choose a word wim ∼ Multinomial(i,k=zm)
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I Applications that aggregate by author or day outperform
I K is fixed at 100 based on cross-validated model fit.
logLikelihood 0.80 0.85 0.90 0.95 1.00 10 20 30 40 50 60 70 80 90 100 110 120
Number of topics Ratio wrt worst value
I Text is parsed with scikit-learn in python I Estimation: Collapsed Gibbs Sampler in C++ (Griffits and
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Table : Contemporaneous Pearson Correlations in Topic Distribution
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I Regress proportion of tweets on topic k at time t by each
I Do legislators’ tweets predict tweets by the public, controlling
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I More complex generative models for tweets that exploit
I Text- vs network-based estimates of political ideology I Predicting latent probability to turn out to vote based on
I Multilingual topic modeling I Detecting irony and sarcasm (Trump!) I Identifying bots and spam with user and text features only
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φ
j, Elites' Ideology Estimates
θi, Users' Ideology Estimates
G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G
−2 −1 1 2 −2 −1 1 2 −2 −1 1 2
Parameter Estimates (Model with Geographic Covariate) Parameter Estimates (Baseline Model)
Index 44 / 54
Index 45 / 54
Indeterminacy Approach 1 Approach 2 Additive aliasing (1) Fix α0
j = 0 or β0 i = 0
Fix µα = 0 or µβ = 0 Additive aliasing (2) Fix φ0
j = +1 or θ0 i = +1
Fix µφ = 0 or µθ = 0 Multiplicative aliasing Fix φ00
j = −1 or θ00 i = −1
Fix σφ = 1 or σθ = 1
phi theta
G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G GG G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G G−2.5 0.0 2.5 −2.5 0.0 2.5 Approach 1 Approach 2 −2.5 0.0 2.5 −2.5 0.0 2.5
Estimated value of parameter True value of parameter Index 46 / 54
New Yorker MSNBC Think Progress Daily Kos Slate Al Jazeera NPR News The Atlantic TIME New York Times FiveThirtyEight Los Angeles Times Salon Huffington Post Newsweek ABC News CBS News U.S. News CNN Christian Science Monitor CNBC Washington Post USA Today Financial Times The Economist Reuters Wall Street Journal Forbes Politico The Hill Washington Times Fox News Drudge Report Real Clear Politics Red State −2 −1 1 Estimated Ideological Ideal Point (Accounts Weighted by Number of Followers)
Barber´ a & Sood (2014) “Follow Your Ideology: A Measure of Ideological Location of Media Sources”, MPSA Conference
Index 47 / 54
USA Today Wall Street Journal CBS News U.S. News ABC News CNN ABC Washington Post NBC News Los Angeles Times TIME Time Magazine New York Times NPR News MSNBC −1 1 2
φj, Estimated Ideological Ideal Points
Barber´ a & Sood (2014) “Follow Your Ideology: A Measure of Ideological Location of Media Sources”, MPSA Conference
Index 47 / 54
Newtown Shooting Oscars 2014 Syria Winter Olympics Boston Marathon Minimum Wage Marriage Equality Budget
State of the Union 2012 Election 0.00 0.25 0.50 0.75 1.00
Estimated Rate of Cross−Ideological Retweeting (Exponentiated Coefficient from Poisson Regression)
Conservatives
Barber´ a, Jost, Nagler, Tucker, & Bonneau (2015) “Tweeting From Left to Right: Is Online Political Communication More Than an Echo Chamber?” Psychological Science
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P(yij = 1) = logit1 αi + βj −
d
X
k=1
γd(θik − φjk)2 ! Estimated ideological positions for 120 parties in 28 European countries
Left-Right Dimension Pro/Anti-European Union Dimension
Grunen AN0 2011 FPO OVP SPO FDL ERC C CD&V CDA CDU−CSU KD CU Cs ODS DL PO CpE Syriza Cons DPP DIMAR SLD PD D66 Ecol. Reform Verts Fine Gael Centre M5S LNNK FDP FI GD ZZA GL Green Green U ANEL Labour PL PvdA Lab PiS SEL FG V Left Lib LibDem FP Venstre Mod. Coalition FN PN NEOS ND N−VA NSi LN VLD Sinn Fein PASOK PVV PC VVD Piraten Podemos PSL PP IRL MR Reform SNP SDS CDS SAP SocDem SPD SD PS SP PS sp.a SF Fianna Fail PSOE SD Linke Finns UPM UCD UDI UPyD UKIP IU SP Unity
r=0.81
0.0 2.5 5.0 7.5 10.0 0.0 2.5 5.0 7.5 10.0
Ideology estimates (Surveys) Ideology estimates (Twitter)
Grunen AN0 2011 FPO OVP SPO FDL ERC C CD&V CDA KD CU Cs ODS DL PO Syriza Cons DPP DIMAR SLD PD D66 Ecol. Reform Verts Fine Gael Centre M5S LNNK FDP FI GD ZZA GL Green Green U ANEL Labour PL PvdA Lab PiS SEL FG V Left Lib LibDem FP Venstre Mod. Coalition FN PN NEOS ND N−VA LN VLD Sinn Fein PASOK PVV PC VVD Piraten Podemos PSL PP IRL MR Reform SNP SDS CDS SAP SocDem SPD SD SP PS sp.a SF Fianna Fail PSOE SD Linke Finns UPM UCD UPyD UKIP IU SP Unity
r=0.77
0.0 2.5 5.0 7.5 10.0 0.0 2.5 5.0 7.5 10.0
Ideology estimates (Surveys) Ideology estimates (Twitter)
Barber´ a, Popa, & Schmitt (2015) “Analyzing the Common Multidimensional Political Space for Voters, Parties, and Legislators in Europe”, MPSA Conference
Index 49 / 54
I Co-partisans (party supporters) I Issues owned by each party (e.g. economy for Republicans;
I Constituents (vs general public) I Informed public vs random sample of U.S. Twitter users I Individuals with income above median
50 / 54
Index 51 / 54
Index 52 / 54