Following up on our previous post, below we apply Alpha-NOMINATE to the 114^{th} House. There have been 489 total votes in the House as of the August recess of which 435 are scalable (at least 2.5% in the minority). We used the R version of Alpha-NOMINATE to perform the analysis. We used 2000 samples from a slice sampler in one dimension with a burn-in of 1000. The first graph shows the Trace and Density plots for alpha.

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The mean was 0.99965 with a standard deviation of 0.0003347 strongly indicating that the Representatives’ utility functions were Gaussian.

The next four plots show the estimated ideal points for the 434 scalable Representatives along with their 95% Credible Intervals. On the left, Representative Grijalva (D-AZ) is located at -2.266. His 95% credible interval runs from -2.751 to -1.87. The five Republicans on the right end are Huelskamp (R-KS) at 2.62 (1.79 – 3.34), Sanford (R-SC) at 4.35 (4.06 – 4.61), Massie (R-KY) at 4.43 (4.20 – 4.66), Amash (R-MI) at 4.48 (4.27 – 4.70), and Jones (R-NC) at 5.27 (5.06 – 5.50).

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The Median of the Democratic Party is -1.310 with a standard deviation of 0.0284 and the Median of the Republican Party is 0.9490 with a standard deviation of 0.0224. The probabilities for the median Representative are 0.068 for Thompson (R-PA), 0.065 for Upton (R-MI), 0.060 for Young (R-AK), 0.059 for Reed (R-NY), 0.058 for Valadao (R-CA), and 0.057 for Turner (R-OH). Assuming that the Republicans vote as a bloc (highly unlikely!), the probabilities for the Filibuster Pivot are 0.049 for Rice (D-NY), 0.042 for Keating (D-MA), 0.039 for Connolly (D-VA), and 0.038 for Gabbard (D-HI), Carney (D-DE), and Delbene (D-WA). Again, President Obama will likely have the votes to prevent a veto override of his nuclear deal with Iran.

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