[Data Mining in Politics]

How Influential are the Senators?

Also see [How influential are individual states?]

X: senator vote variable
Y: outcome variable

I(X;Y): mutual information between outcome and vote
H(Y): entropy of the outcome
H(X,Y): entropy of both the outcome and the senator's vote

I(X;Y)/H(Y): the percentage of outcome entropy eliminated by the senator's vote
Agreement: the percentage of issues when the vote and the outcome matched.
NotVotingP: the probability that the senator did not cast a vote.

SenatorI(X;Y)/H(Y) I(X;Y)/H(X,Y)Agreement NotVotingP
Frist (R-TN)0.4742380.695109 0.8801740.004357
Stevens (R-AK)0.4749720.694702 0.8779960.006536
Roberts (R-KS)0.4749720.694702 0.8779960.006536
Grassley (R-IA)0.4538130.703028 0.8779960.000000
Cochran (R-MS)0.4811910.694224 0.8779960.008715
Burns (R-MT)0.4683360.700246 0.8779960.006536
DeWine (R-OH)0.4548330.705084 0.8758170.002179
Chambliss (R-GA)0.4479600.712514 0.8736380.002179
Talent (R-MO)0.4440880.727237 0.8649240.013072
Coleman (R-MN)0.4254910.726867 0.8649240.002179
Alexander (R-TN)0.4675100.717190 0.8649240.021786
Lugar (R-IN)0.4375440.727242 0.8627450.008715
Dole (R-NC)0.4238220.734735 0.8627450.004357
Warner (R-VA)0.4363960.729844 0.8627450.010893
Brownback (R-KS)0.4378300.732817 0.8627450.013072
Voinovich (R-OH)0.4423360.735162 0.8583880.019608
Bond (R-MO)0.4422650.734784 0.8583880.019608
Bennett (R-UT)0.4342770.737670 0.8583880.017429
Hatch (R-UT)0.4129030.747451 0.8540310.008715
Graham (R-SC)0.4031290.754974 0.8540310.006536
Cornyn (R-TX)0.4072100.751135 0.8540310.006536
Shelby (R-AL)0.4199780.752062 0.8518520.019608
Craig (R-ID)0.4086800.752860 0.8518520.008715
Sessions (R-AL)0.3852220.766266 0.8474950.004357
Allen (R-VA)0.3833660.767922 0.8474950.006536
Crapo (R-ID)0.4056870.759502 0.8431370.015251
Hagel (R-NE)0.4317040.752565 0.8431370.034858
Santorum (R-PA)0.3616240.784297 0.8387800.006536
Fitzgerald (R-IL)0.378455 0.7810540.836601 0.019608
Bunning (R-KY)0.4057770.766532 0.8366010.026144
Hutchison (R-TX)0.3776540.780235 0.8344230.019608
Enzi (R-WY)0.3484310.791561 0.8344230.002179
Lott (R-MS)0.3889120.780487 0.8322440.030501
Murkowski (R-AK)0.4298400.760157 0.8300650.052288
Specter (R-PA)0.3564920.791923 0.8300650.015251
McConnell (R-KY)0.4358380.757595 0.8300650.050109
Inhofe (R-OK)0.3793510.786643 0.8300650.028322
Allard (R-CO)0.3429070.798798 0.8300650.006536
Thomas (R-WY)0.3566950.796950 0.8213510.017429
Nickles (R-OK)0.3210940.816564 0.8169930.008715
Kyl (R-AZ)0.3202320.815281 0.8169930.006536
Ensign (R-NV)0.3368120.811604 0.8169930.021786
Gregg (R-NH)0.3244170.817297 0.8126360.017429
Collins (R-ME)0.2783650.831523 0.8061000.000000
Snowe (R-ME)0.2763640.834689 0.8061000.000000
Smith (R-OR)0.3988840.785602 0.8061000.071895
Campbell (R-CO)0.3510030.810301 0.8039220.050109
Domenici (R-NM)0.4050370.788043 0.8017430.082789
Sununu (R-NH)0.3165790.830587 0.7973860.034858
McCain (R-AZ)0.2678950.850225 0.7930280.010893
Chafee (R-RI)0.2479290.861402 0.7821350.008715
Miller (D-GA)0.3143450.859489 0.6644880.228758
Breaux (D-LA)0.0540100.972301 0.6470590.013072
Nelson (D-NE)0.0429280.978488 0.6165580.039216
Baucus (D-MT)0.0283970.985166 0.6165580.002179
Landrieu (D-LA)0.0115670.994358 0.5708060.028322
Lincoln (D-AR)0.0157360.991978 0.5468410.017429
Bayh (D-IN)0.0042750.997775 0.5468410.004357
Carper (D-DE)0.0038280.998147 0.5446620.021786
Conrad (D-ND)0.0012120.999399 0.5403050.010893
Pryor (D-AR)0.0000920.999952 0.5337690.004357
Dorgan (D-ND)0.0012630.999362 0.5098040.008715
Kohl (D-WI)0.0134240.993212 0.4880170.010893
Johnson (D-SD)0.0124170.993617 0.4836600.006536
Bingaman (D-NM)0.0182300.990854 0.4749460.013072
Reid (D-NV)0.0117550.993935 0.4727670.004357
Daschle (D-SD)0.0133750.993217 0.4727670.013072
Wyden (D-OR)0.0199350.989759 0.4727670.010893
Feinstein (D-CA)0.0119670.994085 0.4684100.023965
Jeffords (I-VT)0.0098800.995305 0.4640520.032680
Stabenow (D-MI)0.0171720.991059 0.4640520.002179
Dodd (D-CT)0.0115740.994308 0.4640520.019608
Dayton (D-MN)0.0154330.992516 0.4618740.028322
Feingold (D-WI)0.0161800.991578 0.4596950.000000
Rockefeller (D-WV)0.022887 0.9882780.455338 0.006536
Cantwell (D-WA)0.0196100.989909 0.4553380.006536
Levin (D-MI)0.0208400.989061 0.4531590.000000
Nelson (D-FL)0.0248640.987306 0.4488020.017429
Murray (D-WA)0.0265220.986564 0.4466230.015251
Akaka (D-HI)0.0269640.985669 0.4466230.000000
Schumer (D-NY)0.0309190.984136 0.4444440.008715
Mikulski (D-MD)0.0255080.987585 0.4422660.028322
Byrd (D-WV)0.0136690.993629 0.4422660.039216
Hollings (D-SC)0.0244660.988894 0.4400870.067538
Leahy (D-VT)0.0296870.984863 0.4379080.010893
Durbin (D-IL)0.0366240.981570 0.4379080.015251
Biden (D-DE)0.0211310.990542 0.4357300.076253
Clinton (D-NY)0.0302040.984624 0.4335510.008715
Sarbanes (D-MD)0.0332980.983614 0.4248370.021786
Corzine (D-NJ)0.0406080.979724 0.4248370.021786
Reed (D-RI)0.0402570.979681 0.4248370.010893
Kennedy (D-MA)0.0280220.986851 0.4204790.045752
Lautenberg (D-NJ)0.051529 0.9744710.416122 0.021786
Inouye (D-HI)0.0155250.993302 0.4117650.124183
Harkin (D-IA)0.0316860.985593 0.4117650.063181
Boxer (D-CA)0.0475300.976473 0.4052290.021786
Graham (D-FL)0.0348430.986229 0.2723310.324619
Edwards (D-NC)0.0335550.986697 0.2461870.387800
Lieberman (D-CT)0.0154840.993589 0.1960780.544662
Kerry (D-MA)0.0343920.984711 0.1307190.640523