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How many X's do you know'' surveys - Columbia University

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Overview<br />

Social and political polarization<br />

Background: how <strong>many</strong> people <strong>do</strong> <strong>you</strong> know?<br />

Learning from “<strong>How</strong> <strong>many</strong> X’s <strong>do</strong> <strong>you</strong> know” <strong>surveys</strong><br />

Next<br />

3 models<br />

Fitting our model<br />

Results: how <strong>many</strong> people <strong>do</strong> <strong>you</strong> know?<br />

Results: group sizes and overdispersions<br />

Confidence building and model extensions<br />

Computation in R<br />

◮ BUGS was too slow (over 1400 parameters)<br />

◮ Programming from scratch in R is awkward, buggy<br />

◮ Instead, we use our general Gibbs/Metropolis programming<br />

environment<br />

◮ Set up MCMC object<br />

◮ Specify Gibbs updates<br />

◮ Log-posterior density for Metropolis steps<br />

◮ Bounds on overdispersion parameters ω ∈ [1, 20]<br />

◮ Renormalization step<br />

◮ Result is a set of posterior simulations<br />

Gelman, DiPrete, Salganik, Teitler, Zheng<br />

Studying polarization using <strong>surveys</strong>

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