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

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 />

Do <strong>you</strong> know 0, 1, 2, or 3 or more Nicoles?<br />

◮ Censored-data model<br />

◮ y ik = 0, 1, 2, or ≥ 3<br />

◮ Use negative-binomial likelihood function:<br />

Pr(y =0), Pr(y =1), Pr(y =2),<br />

1 − Pr(y =0) − Pr(y =1) − Pr(y =2)<br />

◮ Gibbs-Metropolis algorithm is otherwise unchanged<br />

◮ Check with our data: parameter estimates are similar but<br />

problems with model fit for high values of y<br />

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

Studying polarization using <strong>surveys</strong>

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