THE POLARIZATION OF AMERICAN POLITICS
Below are Notes for a Talk on Political Polarization that I gave at a Number of Universities and Meetings during AY2000-01. They are part of a book that I am currently writing with Howard Rosenthal and Nolan McCarty
C C ROLL CALL WEIGHTS C 1 50 - 55 92 0.23 2 56 - 60 80 0.20 3 61 - 65 60 0.15 4 66 - 70 44 0.11 5 71 - 75 32 0.08 6 76 - 80 24 0.06 7 81 - 85 20 0.05 8 86 - 90 16 0.04 9 91 - 95 20 0.05 10 96 - 97.5 12 0.13To construct the artificial data for each House we sampled each margin category with replacement to get the required number. For example, if for some House there were 75 roll calls with margins in the range 66 - 70 then 44 roll calls from those 75 were drawn with replacement. If there were no roll calls in the range then no roll calls could be included. Hence, there are a few Houses with fewer than 400 roll calls. For example, the 58th House had no roll calls with margins 71-75, 81-85, 86-90, and 91-95. It was the most extreme case. Houses 2, 3, 4, 15, 17, 19, 22, 23, and 78 each had one missing margin and House 18 had two missing margins. In sum, 94 of the 105 Houses had no missing margins and 103 of 105 Houses had either no missing margins or only one missing margin.
ENC = 1/S(vi)2 0 < vi < 1 = Vote Share of Candidate iNote that if vi = 1, ENC = 1, if vi = 1/N, ENC = N. Hence, if there are two candidates in the primary and both get 50%, ENC = 2.