Optimal Classification Program
Optimal Classification (OC) is a scaling procedure that performs non-parametric unfolding of binary choice data. Given a matrix of binary choices by individuals (for example, Yes or No) over a series of Parliamentary votes, OC produces a configuration of legislators and cutting lines/planes that maximize the correct classification of the choices. It is discussed in detail in:
-
"Non-Parametric Unfolding of Binary Choice Data." Political Analysis,
8:211-237, 2000.
Non-Parametric Unfolding of Binary Choice Data (1998 APSA Convention Paper)
Non-Parametric Analysis of Binary Choice Data (1997 Carnegie-Mellon Working Paper)
Download oc: OC Roll Call Analysis Software for R
Download OC scores on the Data Download page
Examples
107th Senate (Detailed Discussion of Input and Output Files)95th House
Brazilian Legislature 1995-98
California Assembly 1997-98
- Example One: The 107th Senate.
- The first line is the name of the roll call data file,
- the second line is the title, the
- third line, in order, is the number of dimensions
(1), the number of roll calls
(633), the
number of iterations (20 -- leave as is),
the number of "characters" to read off
the front of each legislator's record
(36 for Roll Call Data -- leave as is -- this
can be set as high as 99 depending upon how you have organized your data --
contact me kpoole@ucsd.edu if you have
questions about how to do this),
the record number of a
Senator that you believe is on the "Left" (this just sets "liberal" on the left --
lower ranks or negative values on the first dimension if the scaling is in
two or more dimensions -- and
"conservative" on the right), and the record number of a Senator that you
want to be "Up" on the second dimension (this feature is handy if you want, for
example, Southern Democrats to be "Up" or positive on the second
dimension -- in other countries, this could be another salient division such
as religion). In the 107th
10 is Senator Boxer
(D-CA) and
18 is Senator Graham
(D-FL). The last two numbers on the line are the
minimum number of roll calls for a legislator to be included in
the scaling -- 10 in this instance -- and
the minimum proportion on the minority side of a
roll call for the roll call to be included in the scaling --
0.005 or 0.5% in this instance. In the Senate,
this will select all roll call votes of 99-1 (minority proportion of .01)
to 50-50 (minority proportion of .50) and in the House all roll
calls votes of 432-3 (minority proportion of .007) to 218-217 (minority proportion
of .499).
Technically, the third line is seen by the program as:0000100633000200003600010000180001000.005
This spacing must not be changed! If you want to analyze 1221 roll calls in 3 dimensions with everything else the same the line must look like this:3 1221 20 36 10 18 10 0.005
- The fourth line is the format of the input roll call matrix.
- The fifth and last line is the format for
the coordinate output file (leave as is). Note that the
36 appears in both format
statements! The program writes out the front portion of each
legislator's record in the legislator output coordinate file. If this number
is changed -- see example 3 below -- change the number in both
format statements.
- Example Two: The 95th House.
- Example Three: The Brazilian Legislature 1995-98
- Example Four: California Assembly 1997-98
To see how Optimal Classification (OC) works,
download the program, the "control card" file, and the 107th Senate
Roll Call data files below:Optimal Classification (OC) Scaling Program Executable (Compiled For WINTEL Machines -- PERFL.EXE)
Optimal Classification (OC) Scaling Program Source Code (FORTRAN -- PERFL.FOR)
Control Card File (PERFSTRT.DAT)
107th Senate Roll Call Data (SEN107KH.ORD)
and place them in the same folder on a WINTEL machine. PERFSTRT.DAT looks like this:
SEN107KH.ORD
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING OF 107TH SENATE
1 633 20 36 10 18 10 0.005
(36A1,3900I1)
(I5,1X,36A1,2I5,50F8.3)PERFL
The program should only take a few seconds to run and it produces three output files -- PERF21.DAT, PERF23.DAT, and PERF25.DAT. PERF21.DAT should look something like this:
07 MAY 2003 14.44.35.31.This line is simply a Time Stamp RANDOM NUMBER SEED 90200 Random number generator seed -- it is used to generate SEN107KH.ORD random vectors to determine size of legislator polytope NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING OF 107TH SENATEThe first column after "ROLL CALLS" or "LEGISLATORS" is the number of dimensions, the second column is the number of classification errors, the third is the total number of choices, the fifth is the error proportion, the sixth column reports the correct classification, the seventh is the Aggregate Proportional Reduction in Error (APRE), and the last column is the Spearman correlation between the current legislator estimates and the previous iteration estimates. For the 107th Senate the algorithm quickly converges to 0.91956 (92.0%) in correct classification. APRE is defined as:
1 633 20 36 10 18 10 0.005
(36A1,3900I1) The lines in Blue are PERF21.DAT -- This is just a safety precaution (I5,1X,36A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 1 4098 48758 0.08405 0.91595 0.73766
2 LEGISLATORS 1 4042 48758 0.08290 0.91710 0.74125 0.99765
3 ROLL CALLS 1 3994 48758 0.08191 0.91809 0.74432
4 LEGISLATORS 1 3983 48758 0.08169 0.91831 0.74502 0.99934
5 ROLL CALLS 1 3966 48758 0.08134 0.91866 0.74611
6 LEGISLATORS 1 3962 48758 0.08126 0.91874 0.74637 0.99666
7 ROLL CALLS 1 3949 48758 0.08099 0.91901 0.74720
8 LEGISLATORS 1 3949 48758 0.08099 0.91901 0.74720 0.99983
9 ROLL CALLS 1 3938 48758 0.08077 0.91923 0.74790
10 LEGISLATORS 1 3936 48758 0.08073 0.91927 0.74803 0.99986
11 ROLL CALLS 1 3930 48758 0.08060 0.91940 0.74842
12 LEGISLATORS 1 3927 48758 0.08054 0.91946 0.74861 0.99988
13 ROLL CALLS 1 3924 48758 0.08048 0.91952 0.74880
14 LEGISLATORS 1 3924 48758 0.08048 0.91952 0.74880 0.99999
15 ROLL CALLS 1 3922 48758 0.08044 0.91956 0.74893
16 LEGISLATORS 1 3922 48758 0.08044 0.91956 0.74893 1.00000
10.58.05.23.
ELAPSED TIME OF JOB 10.58.07.62.
APRE = (Total Number of Choices Cast on Minority Side of all Roll Calls -
Total Classification Error)/(Total Number of Choices Cast on Minority Side of all Roll Calls)
In One Dimension the file PERF25.DAT contains the output coordinates for the Senators and
the roll calls. In one dimension, this is reported as a rank ordering. The
first part of the file shows the Senators in rank order, the second part shows
them in the order
that they appear in the roll call file with their ranking, the third part
shows the rank position of the roll call cutpoint in the order that they
appear in the roll call file, and the fourth part shows the roll call cutpoints
in rank order:
07 MAY 2003 14.44.35.31.
1 1074910133 0MINNESO 10011WELLSTONE 5 484 0.990 1.000
2 1074930925 0WISCONS 10001FEINGOLD 86 498 0.827 2.000
3 1074010412 0NEW JER 10001CORZINE 31 495 0.937 3.000
4 1071501171 0CALIFOR 10001BOXER 24 481 0.950 4.000
5 1071423031 0IOWA 10001HARKIN 30 488 0.939 5.000
6 1074010133 0MINNESO 10001DAYTON 20 486 0.959 6.000
7 1071502121 0ILLINOI 10001DURBIN 25 496 0.950 7.000
8 10714213 1 0CONNECT 10001DODD 27 483 0.944 8.000
9 10710808 3 0MASSACH 10001KENNEDY, ED 23 480 0.952 9.000
10 1071303952 0MARYLAN 10001SARBANES 11 498 0.978 10.000
11 10729142 5 0RHODE I 10001REED 20 497 0.960 11.000
etc.
The column in red is the number of classification errors
The column in purple is the total number of choices
The column in green is the proportion correctly classified
The column in blue is the rank position (tied ranks are allowed)
etc.
etc.
100 1071490853 0OKLAHOM 20001NICKLES, DO 25 495 0.949 100.000
101 1071462849 0TEXAS 20001GRAMM, PHIL 26 480 0.946 101.000
102 1071410547 0NORTH C 20001HELMS 16 358 0.955 102.000
103 1071542961 0ARIZONA 20001KYL 21 495 0.958 103.000
******************************************************************************
1 1079991099 0USA 200 BUSH 2 63 0.968 85.000
2 1074970041 0ALABAMA 20001SESSIONS 52 481 0.892 67.000
3 1079465941 0ALABAMA 20001SHELBY 54 488 0.889 66.000
4 1071490781 0ALASKA 20001MURKOWSKI 24 459 0.948 71.000
5 1071210981 0ALASKA 20001STEVENS 28 452 0.938 63.000
6 1071542961 0ARIZONA 20001KYL 21 495 0.958 103.000
7 1071503961 0ARIZONA 20001MCCAIN 125 478 0.738 58.000
8 1072930642 0ARKANSA 20001HUTCHINSON, 45 484 0.907 68.000
9 1072930542 0ARKANSA 10001LINCOLN 33 495 0.933 47.000
10 1071501171 0CALIFOR 10001BOXER 24 481 0.950 4.000
etc.
etc.
100 1074930925 0WISCONS 10001FEINGOLD 86 498 0.827 2.000
101 1071570325 0WISCONS 10001KOHL 35 484 0.928 39.000
102 1074970668 0WYOMING 20001ENZI 36 483 0.925 95.000
103 1071563368 0WYOMING 20001THOMAS 23 486 0.953 96.000
******************************************************************************
1 6 76 24 13 0.458 6 1 27.750
2 8 59 42 5 0.881 6 1 48.500
3 15 56 44 3 0.932 6 1 46.500
4 16 34 65 10 0.706 1 6 35.500
5 17 58 41 7 0.829 6 1 50.500
6 18 50 49 5 0.898 6 1 52.500
7 19 55 41 6 0.854 6 1 48.500
8 20 55 42 9 0.786 6 1 52.500
9 21 61 37 15 0.595 6 1 36.500
10 22 53 47 4 0.915 1 6 51.500
etc.
etc.
The column in black is a counter from 1 to the number of scaled roll calls
The column in indigo is the position of the roll call in the input roll call matrix
The column in red is the number of Yeas
The column in blue is the number of Nays
The column in coral is the number of classification errors
The column in turquoise is the Proportional Reduction in Error:
[PRE = (number voting in minority - classification errors)/number voting in minority]
The column in firebrick is the Predicted Choice Below the Midpoint (1 = Yea, 6 = Nay)
The column in limegreen is the Predicted Choice Above the Midpoint
The column in navy is the rank position of the roll call midpoint
etc.
etc.
490 625 47 52 2 0.957 1 6 49.500
491 626 69 30 5 0.833 6 1 33.500
492 627 73 26 7 0.731 6 1 33.500
493 628 83 16 7 0.562 6 1 14.500
494 629 91 9 8 0.111 6 1 2.500
495 630 56 44 5 0.886 6 1 50.500
496 631 85 12 8 0.333 1 6 94.500
497 632 87 11 8 0.273 1 6 99.500
498 633 92 2 2 0.000 1 6 103.000
******************************************************************************
276 344 1 94 1 0.000 1 6 1.000
109 128 11 88 11 0.000 1 6 1.000
328 406 17 80 17 0.000 1 6 1.000
195 223 3 94 3 0.000 1 6 1.000
71 88 96 3 2 0.333 6 1 1.500
269 336 1 100 0 1.000 1 6 1.500
300 371 88 10 8 0.200 6 1 2.500
494 629 91 9 8 0.111 6 1 2.500
439 557 94 3 1 0.667 6 1 2.500
244 300 90 7 4 0.429 6 1 3.500
488 622 58 36 34 0.056 6 1 3.500
65 80 94 6 5 0.167 6 1 3.500
291 360 33 65 30 0.091 1 6 3.500
174 198 93 6 4 0.333 6 1 4.500
etc.
etc.
182 207 42 58 6 0.857 6 1 54.500
424 532 50 46 0 1.000 1 6 54.500
394 498 58 35 11 0.686 1 6 54.500
187 215 55 43 5 0.884 1 6 54.500
445 567 48 51 5 0.896 6 1 54.500
170 194 52 45 2 0.956 1 6 54.500
312 383 39 45 0 1.000 6 1 54.500
63 78 54 46 11 0.761 6 1 55.500
183 210 46 52 3 0.935 6 1 55.500
436 548 55 43 2 0.953 1 6 55.500
204 232 52 48 3 0.938 1 6 55.500
450 577 57 42 6 0.857 1 6 55.500
125 146 55 43 9 0.791 1 6 55.500
193 221 42 54 12 0.714 1 6 55.500
181 206 55 45 2 0.956 1 6 55.500
241 293 56 44 3 0.932 1 6 55.500
184 211 54 44 1 0.977 1 6 55.500
256 316 46 54 0 1.000 6 1 56.500
166 189 51 49 11 0.776 6 1 56.500
390 494 58 38 8 0.789 1 6 56.500
191 219 37 59 9 0.757 6 1 56.500
173 197 43 57 3 0.930 6 1 56.500
168 191 52 47 3 0.936 1 6 56.500
19 32 56 43 3 0.930 1 6 57.500
306 377 54 44 2 0.955 1 6 57.500
156 179 42 58 10 0.762 6 1 57.500
etc.
etc.
147 169 96 1 1 0.000 1 6 103.000
146 168 97 1 1 0.000 1 6 103.000
143 164 98 2 2 0.000 1 6 103.000
79 97 98 1 1 0.000 1 6 103.000
77 95 95 3 3 0.000 1 6 103.000
59 74 99 1 1 0.000 1 6 103.000
498 633 92 2 2 0.000 1 6 103.000
The file PERF23.DAT has some miscellaneous diagnostics for the
program some of which are only needed for de-bugging purposes. Below are
portions of the file that may be of interest:The two lines below show how many roll calls and legislators meetThe second column with a first entry of 9.1248 are the eigenvalues. These can be used to make a Skree Plot like the one below.
the cutoff criteria in PERFSTRT.DAT ROLL-CALLS READ= 633 NUMBER REJECTED= 135 NUMBER ACCEPTED= 498 CUTOFF= 0.005 LEGISLATORS READ= 103 NUMBER REJECTED= 0 NUMBER ACCEPTED= 103 CUTOFF= 10 This shows the distribution of roll calls by margin DISTRIBUTION OF SCALABLE ROLL CALLS 1 50 - 55 128 0.257 2 56 - 60 98 0.197 3 61 - 65 51 0.102 4 66 - 70 44 0.088 5 71 - 75 30 0.060 6 76 - 80 27 0.054 7 81 - 85 18 0.036 8 86 - 90 21 0.042 9 91 - 95 26 0.052 10 96 - 99.5 55 0.110 This shows the number of choices on the majority side, the
total number of choices, and the proportion on the majority side AVERAGE MAJORITY MARGIN= 33137 48758 0.67962 etc. etc. Below are the eigenvalues of the double-centered agreement
score matrix (second column). These can be used to make a Skree Plot and
are a good check on the dimensionality of the data (see below). PERFORMANCE INDEX EIGENVALUE/VECTOR ROUTINE= 1 103 0 0 1 9.1248 66.8391 66.8391 11.4701 56.3429 56.3429 2 0.4053 2.9686 69.8078 0.7339 3.6050 59.9479 3 0.2800 2.0508 71.8585 0.5025 2.4685 62.4164 4 0.2454 1.7974 73.6559 0.3837 1.8846 64.3011 5 0.1658 1.2141 74.8700 0.3777 1.8553 66.1564 6 0.1502 1.1005 75.9705 0.3205 1.5742 67.7306 7 0.1420 1.0404 77.0109 0.2752 1.3520 69.0825 8 0.1278 0.9361 77.9471 0.2560 1.2577 70.3402 9 0.1057 0.7743 78.7214 0.2217 1.0891 71.4293 10 0.0916 0.6709 79.3923 0.1962 0.9635 72.3928 11 0.0762 0.5582 79.9505 0.1914 0.9404 73.3332 12 0.0719 0.5263 80.4768 0.1802 0.8853 74.2186 13 0.0669 0.4898 80.9666 0.1642 0.8066 75.0251 14 0.0654 0.4790 81.4456 0.1538 0.7557 75.7808 15 0.0583 0.4269 81.8725 0.1511 0.7424 76.5233 16 0.0548 0.4011 82.2736 0.1429 0.7021 77.2254 17 0.0499 0.3657 82.6393 0.1409 0.6919 77.9173 18 0.0468 0.3428 82.9821 0.1364 0.6701 78.5874 19 0.0438 0.3211 83.3032 0.1333 0.6548 79.2422 20 0.0400 0.2930 83.5962 0.1217 0.5980 79.8402 etc. etc.
If you change the number of dimensions from 1 to 2 in PERFSTRT.DAT and run PERFL again (be sure to save the output files from the one-dimensional run first!!!! -- they will be overwritten by the new ones!). PERF21.DAT should look something like this:
07 MAY 2003 14.05.12.23.
RANDOM NUMBER SEED 23100
SEN107KH.ORD
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING OF 107TH SENATE
2 633 20 36 10 18 10 0.005
(36A1,3900I1)
(I5,1X,36A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 2 3831 48758 0.07857 0.92143 0.75475 0.00000
LEGISLATORS 2 3752 48758 0.07695 0.92305 0.75981 0.00000
2 ROLL CALLS 2 3688 48758 0.07564 0.92436 0.76391 0.99015
LEGISLATORS 2 3662 48758 0.07511 0.92489 0.76557 0.97539
3 ROLL CALLS 2 3628 48758 0.07441 0.92559 0.76775 0.99454
LEGISLATORS 2 3623 48758 0.07431 0.92569 0.76807 0.99878
4 ROLL CALLS 2 3623 48758 0.07431 0.92569 0.76807 0.99849
LEGISLATORS 2 3619 48758 0.07422 0.92578 0.76832 0.99951
5 ROLL CALLS 2 3612 48758 0.07408 0.92592 0.76877 0.99940
LEGISLATORS 2 3612 48758 0.07408 0.92592 0.76877 0.99996
6 ROLL CALLS 2 3610 48758 0.07404 0.92596 0.76890 0.99982
LEGISLATORS 2 3610 48758 0.07404 0.92596 0.76890 0.99997
7 ROLL CALLS 2 3609 48758 0.07402 0.92598 0.76896 0.99989
LEGISLATORS 2 3607 48758 0.07398 0.92602 0.76909 0.99976
8 ROLL CALLS 2 3605 48758 0.07394 0.92606 0.76922 0.99851
LEGISLATORS 2 3604 48758 0.07392 0.92608 0.76928 0.99999
9 ROLL CALLS 2 3601 48758 0.07385 0.92615 0.76948 0.99925
LEGISLATORS 2 3601 48758 0.07385 0.92615 0.76948 0.99999
10 ROLL CALLS 2 3601 48758 0.07385 0.92615 0.76948 0.99975
LEGISLATORS 2 3600 48758 0.07383 0.92617 0.76954 0.99986
11 ROLL CALLS 2 3600 48758 0.07383 0.92617 0.76954 0.99893
LEGISLATORS 2 3599 48758 0.07381 0.92619 0.76961 0.99997
12 ROLL CALLS 2 3598 48758 0.07379 0.92621 0.76967 0.99965
LEGISLATORS 2 3598 48758 0.07379 0.92621 0.76967 0.99999
13 ROLL CALLS 2 3598 48758 0.07379 0.92621 0.76967 0.99993
LEGISLATORS 2 3597 48758 0.07377 0.92623 0.76973 0.99968
14 ROLL CALLS 2 3597 48758 0.07377 0.92623 0.76973 0.99995
LEGISLATORS 2 3596 48758 0.07375 0.92625 0.76980 0.99999
15 ROLL CALLS 2 3596 48758 0.07375 0.92625 0.76980 0.99965
LEGISLATORS 2 3596 48758 0.07375 0.92625 0.76980 1.00000
16 ROLL CALLS 2 3596 48758 0.07375 0.92625 0.76980 0.99845
LEGISLATORS 2 3596 48758 0.07375 0.92625 0.76980 1.00000
17 ROLL CALLS 2 3596 48758 0.07375 0.92625 0.76980 0.99792
LEGISLATORS 2 3596 48758 0.07375 0.92625 0.76980 1.00000
18 ROLL CALLS 2 3596 48758 0.07375 0.92625 0.76980 0.99990
LEGISLATORS 2 3596 48758 0.07375 0.92625 0.76980 1.00000
19 ROLL CALLS 2 3596 48758 0.07375 0.92625 0.76980 0.99954
LEGISLATORS 2 3596 48758 0.07375 0.92625 0.76980 1.00000
20 ROLL CALLS 2 3544 48758 0.07269 0.92731 0.77313 0.99770
LEGISLATORS 2 3542 48758 0.07264 0.92736 0.77325 0.99954
MEAN VOLUME LEG. 0.0079 0.0490
MACHINE PREC. 2 3542 48758 0.07264 0.92736 0.77325
MACHINE PREC. 2 3542 48758 0.07264 0.92736 0.77325
14.05.12.28.
ELAPSED TIME OF JOB 14.07.10.32.
The correct classification is now 92.736% (0.92736). The last column
shows the mean cosine between the current estimated normal vectors and the
normal vectors from the previous iteration. The Line:MEAN VOLUME LEG. 0.0079 0.0490reports some statistics about the average legislator polytope size. The first number is the average maximum distance to a polytope boundary, 0.0079, and the second number is the standard deviation of the maximum distance to a polytope boundary 0.0490. When there are more than 100 roll calls the space is so finely "chopped up" that these two numbers will typically be very small. The last two lines
MACHINE PREC. 2 3542 48758 0.07264 0.92736 0.77325are simply redundancy checks at convergence. These two lines should always be the same.
MACHINE PREC. 2 3542 48758 0.07264 0.92736 0.77325
In Two Dimensions PERF25.DAT first lists the legislator coordinates and then the roll call normal vectors and cutting points. The file should look very similar to this:
07 MAY 2003 14.05.12.23.Below is a plot of the first five cutting lines. The Red Arrows at the ends of the cutting lines point in the direction of a Yea vote. The Blue Dot is President Bush's position. With Just these five votes the Polytope President Bush is in predicts the voting pattern YYYNY.
1 1079991099 0USA 200 BUSH 1 63 0.984 0.036 0.164 0.063 2 1074970041 0ALABAMA 20001SESSIONS 26 481 0.946 0.002 0.157 -0.168 3 1079465941 0ALABAMA 20001SHELBY 44 488 0.910 0.002 0.128 -0.100 4 1071490781 0ALASKA 20001MURKOWSKI 25 459 0.946 0.002 0.161 0.038 5 1071210981 0ALASKA 20001STEVENS 32 452 0.929 0.002 0.128 -0.006 6 1071542961 0ARIZONA 20001KYL 29 495 0.941 0.002 0.213 -0.044 7 1071503961 0ARIZONA 20001MCCAIN 110 478 0.770 0.002 0.097 -0.074 8 1072930642 0ARKANSA 20001HUTCHINSON, 46 484 0.905 0.002 0.147 0.021 9 1072930542 0ARKANSA 10001LINCOLN 40 495 0.919 0.002 -0.089 0.080 10 1071501171 0CALIFOR 10001BOXER 22 481 0.954 0.002 -0.204 -0.081 etc. The column in red is the number of classification errors
The column in purple is the total number of choices
The column in green is the proportion correctly classified
The column in black is the maximum size of the polytope containing the legislator
The last two columns in blue are the two dimensional coordinates
etc.
etc.
100 1074930925 0WISCONS 10001FEINGOLD 40 498 0.920 0.002 -0.184 -0.503 101 1071570325 0WISCONS 10001KOHL 29 484 0.940 0.003 -0.135 0.058 102 1074970668 0WYOMING 20001ENZI 33 483 0.932 0.002 0.180 -0.028 103 1071563368 0WYOMING 20001THOMAS 26 486 0.947 0.002 0.187 -0.001 1 6 76 24 10 23 80 6 1 0.583 -0.172 0.991 -0.133 2 8 59 42 3 47 56 6 1 0.929 -0.057 0.937 -0.350 3 15 56 44 2 45 58 6 1 0.955 -0.081 0.995 0.101 4 16 34 65 7 30 73 1 6 0.794 -0.163 0.995 -0.096 5 17 58 41 8 44 59 6 1 0.805 -0.052 0.925 0.380 6 18 50 49 4 50 53 6 1 0.918 -0.010 0.974 0.228 7 19 55 41 5 41 62 6 1 0.878 -0.102 0.983 0.181 8 20 55 42 8 46 57 6 1 0.810 -0.038 0.906 0.423 9 21 61 37 16 45 58 6 1 0.568 -0.053 0.926 0.376 10 22 53 47 3 54 49 1 6 0.936 0.060 0.985 -0.170 etc. etc. The column in black is a counter from 1 to the number of scaled roll calls
The column in indigo is the position of the roll call in the input roll call matrix
The column in red is the number of Yeas
The column in blue is the number of Nays
The column in coral is the number of classification errors
The column in teal is the number of Predicted Choices Below the Projected Midpoint
The column in deeppink is the number of Predicted Choices Above the Projected Midpoint
The column in firebrick is the Predicted Choice Below the Projected Midpoint (1 = Yea, 6 = Nay)
The column in limegreen is the Predicted Choice Above the Projected Midpoint
The column in turquoise is the Proportional Reduction in Error
The column in magenta is the projected midpoint on the Line defined by the Normal Vector
The last two columns in darkblue is the Normal Vector for the Cutting Plane
etc.
etc.
490 625 47 52 2 48 55 1 6 0.957 -0.029 0.890 0.456 491 626 69 30 2 30 73 6 1 0.933 -0.133 0.958 0.286 492 627 73 26 4 30 73 6 1 0.846 -0.134 0.959 0.282 493 628 83 16 6 21 82 6 1 0.625 -0.079 0.449 0.893 494 629 91 9 7 2 101 6 1 0.222 -0.249 0.970 0.243 495 630 56 44 4 49 54 6 1 0.909 -0.046 0.978 -0.207 496 631 85 12 3 88 15 1 6 0.750 0.149 0.814 -0.581 497 632 87 11 7 94 9 1 6 0.364 0.179 0.957 -0.290 498 633 92 2 2 0 103 6 1 0.000 -0.325 0.955 0.296
Below is a plot of the Senator coordinates. The R tokens are Republicans, the S tokens are Southern Democrats (11 states of the Confederacy plus Kentucky and Oklahoma), the D tokens are Northern (Non-Southern) Democrats, and the P is President Bush.
Control Card File for 95th
House (PERFSTRT.H95) (Rename this to PERFSTRT.DAT)
95th House Roll
Call Data (HOU95KH.ORD)PERF21.DAT for the 95th in two dimensions should look something like this:
07 MAY 2003 15.14.18.17.The correct classification is 88.246% (0.88246) with an APRE of 0.53111. The 95th (1977-78) House was part of the 3-Party period from the late 1930s to the mid-1980s when the Democratic Party was split into Northern and Southern blocs (see my book with Howard Rosenthal Congress: A Political-Economic History of Roll Call Voting, our paper D-NOMINATE After 10 Years: A Comparative Update to Congress: A Political-Economic History of Roll Call Voting [a version of this paper was published in Legislative Studies Quarterly, 26:5-29, 2001], and my monograph with Nolan McCarty and Howard Rosenthal Income Redistribution and the Realignment of American Politics, 1997, AEI Press. Congressional voting through this period was two dimensional.
RANDOM NUMBER SEED 37600
HOU95KH.ORD
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING OF 95TH HOUSE
2 1540 20 36 1 5 10 0.005
(36A1,3900I1)
(I5,1X,36A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 2 67910 554899 0.12238 0.87762 0.51180 0.00000
LEGISLATORS 2 67239 554899 0.12117 0.87883 0.51662 0.00000
2 ROLL CALLS 2 66802 554899 0.12039 0.87961 0.51976 0.99849
LEGISLATORS 2 66636 554899 0.12009 0.87991 0.52096 0.99512
3 ROLL CALLS 2 66487 554899 0.11982 0.88018 0.52203 0.99895
LEGISLATORS 2 66427 554899 0.11971 0.88029 0.52246 0.99963
4 ROLL CALLS 2 66367 554899 0.11960 0.88040 0.52289 0.99890
LEGISLATORS 2 66334 554899 0.11954 0.88046 0.52313 0.99967
5 ROLL CALLS 2 66308 554899 0.11950 0.88050 0.52331 0.99922
LEGISLATORS 2 66282 554899 0.11945 0.88055 0.52350 0.99990
6 ROLL CALLS 2 66263 554899 0.11941 0.88059 0.52364 0.99975
LEGISLATORS 2 66251 554899 0.11939 0.88061 0.52372 0.99991
7 ROLL CALLS 2 66236 554899 0.11937 0.88063 0.52383 0.99993
LEGISLATORS 2 66223 554899 0.11934 0.88066 0.52392 0.99985
8 ROLL CALLS 2 66215 554899 0.11933 0.88067 0.52398 0.99996
LEGISLATORS 2 66210 554899 0.11932 0.88068 0.52402 0.99993
9 ROLL CALLS 2 66208 554899 0.11932 0.88068 0.52403 0.99999
LEGISLATORS 2 66206 554899 0.11931 0.88069 0.52405 0.99999
10 ROLL CALLS 2 66201 554899 0.11930 0.88070 0.52408 0.99897
LEGISLATORS 2 66200 554899 0.11930 0.88070 0.52409 1.00000
11 ROLL CALLS 2 66199 554899 0.11930 0.88070 0.52410 0.99995
LEGISLATORS 2 66198 554899 0.11930 0.88070 0.52410 1.00000
12 ROLL CALLS 2 66196 554899 0.11929 0.88071 0.52412 1.00000
LEGISLATORS 2 66194 554899 0.11929 0.88071 0.52413 1.00000
13 ROLL CALLS 2 66192 554899 0.11929 0.88071 0.52415 1.00000
LEGISLATORS 2 66192 554899 0.11929 0.88071 0.52415 1.00000
14 ROLL CALLS 2 66191 554899 0.11928 0.88072 0.52415 0.99997
LEGISLATORS 2 66188 554899 0.11928 0.88072 0.52418 0.99986
15 ROLL CALLS 2 66184 554899 0.11927 0.88073 0.52421 0.99999
LEGISLATORS 2 66178 554899 0.11926 0.88074 0.52425 0.99993
16 ROLL CALLS 2 66173 554899 0.11925 0.88075 0.52428 0.99999
LEGISLATORS 2 66171 554899 0.11925 0.88075 0.52430 0.99999
17 ROLL CALLS 2 66170 554899 0.11925 0.88075 0.52431 0.99999
LEGISLATORS 2 66170 554899 0.11925 0.88075 0.52431 1.00000
18 ROLL CALLS 2 66170 554899 0.11925 0.88075 0.52431 0.99999
LEGISLATORS 2 66169 554899 0.11925 0.88075 0.52431 1.00000
19 ROLL CALLS 2 66169 554899 0.11925 0.88075 0.52431 0.99998
LEGISLATORS 2 66169 554899 0.11925 0.88075 0.52431 1.00000
20 ROLL CALLS 2 65322 554899 0.11772 0.88228 0.53040 0.99095
LEGISLATORS 2 65226 554899 0.11755 0.88245 0.53109 0.99826
MEAN VOLUME LEG. 0.0034 0.0035
MACHINE PREC. 2 65223 554899 0.11754 0.88246 0.53111
MACHINE PREC. 2 65223 554899 0.11754 0.88246 0.53111
15.14.18.21.
ELAPSED TIME OF JOB 15.41.01.21.
Below is a Skree Plot of the Eigenvalues of the Double-Centered agreement score matrix. In contrast to the Skree Plot for the 107th Senate, note that the "elbow" is not as sharp indicating the possible presence of a 2nd dimension:
Below is a plot of the Representative coordinates. The R tokens are Republicans, the S tokens are Southern Democrats (11 states of the Confederacy plus Kentucky and Oklahoma), the D tokens are Northern (Non-Southern) Democrats, and the P is President Carter.
This example is courtesy of
Barry Ames via
Scott Morgenstern and is discussed in
detail in Scott's forthcoming book
Patterns of Legislative Politics:
Roll Call Voting in Latin America and the United States.
Control Card File for
Brazilian Legislature (PERFSTRT.BRAZIL) (Rename this to PERFSTRT.DAT)
Brazil Roll
Call Data for 1995-98 (BRAZIL2A.TXT)The PERF21.DAT should look something like this in one dimension:
08 MAY 2003 12.02.34.98.The correct classification is 91.0% (0.90998) with an APRE of .659 (0.65869). Although the correct classification is very high, the average majority margin for the roll calls is 73.6% (0.73626), this is printed out in PERF23.DAT) which is why the APRE, although quite high, is only .659. The eigenvalue pattern suggests that there may be two or three dimensions underlying the data.
RANDOM NUMBER SEED 38000
BRAZIL2A.TXT
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING
1 420 20 43 2 1 10 0.005
(43a1,3600I1)
(I5,1X,43A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 1 14534 139474 0.10421 0.89579 0.60489
2 LEGISLATORS 1 13432 139474 0.09630 0.90370 0.63485 0.98111
3 ROLL CALLS 1 13108 139474 0.09398 0.90602 0.64366
4 LEGISLATORS 1 12879 139474 0.09234 0.90766 0.64988 0.98837
5 ROLL CALLS 1 12755 139474 0.09145 0.90855 0.65326
6 LEGISLATORS 1 12674 139474 0.09087 0.90913 0.65546 0.99684
7 ROLL CALLS 1 12648 139474 0.09068 0.90932 0.65616
8 LEGISLATORS 1 12616 139474 0.09045 0.90955 0.65703 0.99703
9 ROLL CALLS 1 12598 139474 0.09033 0.90967 0.65752
10 LEGISLATORS 1 12577 139474 0.09017 0.90983 0.65809 0.99849
11 ROLL CALLS 1 12569 139474 0.09012 0.90988 0.65831
12 LEGISLATORS 1 12565 139474 0.09009 0.90991 0.65842 0.99977
13 ROLL CALLS 1 12557 139474 0.09003 0.90997 0.65864
14 LEGISLATORS 1 12555 139474 0.09002 0.90998 0.65869 0.99943
12.31.42.17.
ELAPSED TIME OF JOB 12.32.32.96.
Below is the rank ordering from Left to Right. The party codes are in the column next to the classification errors (some are missing). The political parties are:
PT = Worker's PartyParties in Red are generally considered to be on the Left, parties in Magenta are generally considered to be in the Center, and parties in Blue are generally considered to be on the Right.
PPB = Brazilian Progressive Party
PDT = Democratic Labor Party
PMDB = Party of the Brazilian Democratic Movement
PFL = Party of the Liberal Front
PSDB = Party of Brazilian Social Democracy
PTB = Brazilian Labor Party
1 PAULO BERNARDO PR PT 3 335 0.991 1.000In two dimensions the PERF21.DAT should look something like this:
2 PAULO PAIM RS PT 5 362 0.986 2.500
3 LUCIANO ZICA SP PT 7 358 0.980 2.500
4 JOSE PIMENTEL CE PT 8 372 0.978 4.000
5 ANA JULIA PA PT 1 204 0.995 5.000
6 MARCELO DEDA SE PT 4 361 0.989 7.500
7 ARLINDO CHINAGLIA SP PT 7 360 0.981 7.500
8 MARIA DA CONCEICAO TAVARES RJ PT 5 215 0.977 7.500
9 CHICO FERRAMENTA MG PT 4 199 0.980 7.500
10 LUIZ ALBERTO 2 133 0.985 10.000
11 HAROLDO SABOIA MA PT 1 210 0.995 11.000
12 JOANA DARC 0 142 1.000 13.000
13 JOSE AUGUSTO 11 159 0.931 13.000
14 GERALDO PASTANA 1 153 0.993 13.000
15 LUIZ GUSHIKEN SP PT 13 347 0.963 21.000
16 PADRE ROQUE PR PT 8 316 0.975 21.000
17 MARIA LAURA DF PT 6 326 0.982 21.000
18 NILMARIO MIRANDA MG PT 5 297 0.983 21.000
19 EDUARDO JORGE SP PT 8 386 0.979 21.000
20 JOSE MACHADO MG PPB 4 366 0.989 21.000
21 JAIR MENEGUELLI SP PT 3 335 0.991 21.000
22 CELSO DANIEL SP PT 3 203 0.985 21.000
23 NEDSON MICHELETI PR PT 5 341 0.985 21.000
24 ESTHER GROSSI RS PT 5 280 0.982 21.000
25 JOSE FORTUNATI RS PT 4 185 0.978 21.000
26 JOAO PAULO MG PT 2 344 0.994 21.000
27 JOSE FRITSCH SC PPB 4 207 0.981 21.000
28 MILTON TEMER RJ PT 2 358 0.994 31.500
29 JAQUES WAGNER BA PT 4 317 0.987 31.500
30 ALCIDES MODESTO BA PT 6 343 0.983 31.500
31 MIGUEL ROSSETTO RS PT 4 350 0.989 31.500
32 DOMINGOS DUTRA MA PT 6 198 0.970 31.500
33 CARLOS SANTANA RJ PT 3 306 0.990 31.500
34 JOAO COSER ES PT 3 353 0.992 31.500
35 ADAO PRETTO RS PT 3 349 0.991 31.500
36 HELIO BICUDO SP PT 5 324 0.985 42.500
37 HUMBERTO COSTA PE PT 7 368 0.981 42.500
38 PAULO ROCHA PA PT 6 359 0.983 42.500
39 IVAN VALENTE SP PT 2 363 0.994 42.500
40 JOSE GENOINO SP PT 5 379 0.987 42.500
41 MILTON MENDES SC PPB 4 382 0.990 42.500
42 LUIZ MAINARDI RS PT 5 342 0.985 42.500
43 MARTA SUPLICY SP PT 6 300 0.980 42.500
44 GILNEY VIANA MT PT 4 340 0.988 42.500
45 AUGUSTO CARVALHO DF 31 387 0.920 42.500
46 FERNANDO FERRO PE PT 5 360 0.986 42.500
47 JOAO FASSARELLA 4 388 0.990 42.500
48 PEDRO WILSON GO PT 5 362 0.986 42.500
49 JOSE AUGUSTO RAMOS SP PT 6 216 0.972 42.500
50 CHICO VIGILANTE DF PT 7 331 0.979 50.000
51 PAULO DELGADO MG PT 9 332 0.973 51.000
52 LUIZ EDUARDO GREENHALGH 2 134 0.985 52.000
53 RICARDO GOMYDE PR 15 290 0.948 53.500
54 ALDO ARANTES GO 17 359 0.953 53.500
55 FERNANDO LOPES RJ PDT 13 320 0.959 56.500
56 JANDIRA FEGHALI RJ 14 377 0.963 56.500
57 ALDO REBELO SP 16 338 0.953 56.500
58 HAROLDO LIMA BA 16 334 0.952 56.500
59 AGNELO QUEIROZ DF 15 351 0.957 59.000
60 LINDBERG FARIAS RJ 12 292 0.959 60.000
61 INACIO ARRUDA CE 14 348 0.960 61.000
62 GILVAN FREIRE PB 47 351 0.866 62.000
63 JOSE CARLOS SABOIA MA 5 88 0.943 63.000
64 NILSON GIBSON PE 36 358 0.899 64.000
65 GERVASIO OLIVEIRA AP PDT 13 302 0.957 65.000
66 FERNANDO GABEIRA RJ 62 311 0.801 66.000
67 DERCIO KNOP 14 158 0.911 67.000
68 RAQUEL CAPIBERIBE AP 14 284 0.951 68.000
69 RICARDO HERACLIO PE 27 315 0.914 69.500
70 ALEXANDRE CARDOSO RJ 18 310 0.942 69.500
71 NEIVA MOREIRA PDT 8 139 0.942 71.500
72 GONZAGA PATRIOTA PE PDT 20 279 0.928 71.500
73 EDSON EZEQUIEL RJ PDT 8 213 0.962 73.000
74 CARLOS CARDINAL RS PDT 11 384 0.971 74.000
75 CIDINHA CAMPOS RJ PDT 14 342 0.959 75.500
76 FERNANDO ZUPPO 19 365 0.948 75.500
77 FERNANDO LYRA PE 10 203 0.951 77.000
78 PEDRO VALADARES SE 21 303 0.931 78.500
79 MATHEUS SCHMIDT RS PDT 16 363 0.956 78.500
80 AIRTON DIPP RS PDT 19 378 0.950 80.500
81 RENAN KURTZ RS PDT 10 331 0.970 80.500
82 MARCIA CIBILIS VIANA RJ PDT 13 313 0.958 82.000
83 ENIO BACCI RS PDT 26 330 0.921 84.000
84 JOSE MAURICIO RJ PDT 16 327 0.951 84.000
85 MIRO TEIXEIRA RJ PDT 18 360 0.950 84.000
86 CORIOLANO SALES BA PDT 32 350 0.909 86.000
87 GIOVANNI QUEIROZ PA PDT 22 344 0.936 87.000
88 EURIPEDES MIRANDA RO PDT 24 308 0.922 88.000
89 FERNANDO RIBAS CARLI PPB 44 217 0.797 89.000
90 LEONEL PAVAN SC PDT 25 218 0.885 90.000
91 LUIZ DURAO ES PDT 62 264 0.765 91.000
92 ANTONIO BRASIL PA PMDB 52 351 0.852 92.000
93 MAURICIO REQUIAO PR PMDB 55 376 0.854 93.000
94 JOAO COLACO PE 38 193 0.803 94.000
95 RAIMUNDO BEZERRA CE PMDB 9 36 0.750 95.000
96 JERONIMO REIS SE 7 37 0.811 96.000
97 NOEL DE OLIVEIRA RJ PMDB 33 285 0.884 97.000
98 JOSE PINOTTI SP 45 227 0.802 98.000
99 BOSCO FRANCA SE PMDB 33 123 0.732 99.000
100 IZIDORIO OLIVEIRA 3 20 0.850 100.000
101 MARCELO BARBIERI SP PMDB 44 249 0.823 101.000
102 ARNALDO FARIA DE SA SP PPB 97 386 0.749 102.000
103 ALVARO VALLE RJ 33 177 0.814 103.000
104 JARBAS LIMA RS PPB 64 402 0.841 104.000
105 ADYLSON MOTTA RS PPB 71 388 0.817 105.000
106 PRISCO VIANA BA PPB 87 325 0.732 106.000
107 HERMES PARCIANELLO PR PMDB 58 292 0.801 107.000
108 ELCIONE BARBALHO PA PMDB 66 311 0.788 108.000
109 RITA CAMATA ES PMDB 8 49 0.837 109.000
110 JAIR BOLSONARO RJ PPB 79 362 0.782 110.000
111 JOAO THOME MESTRINHO AM 62 295 0.790 111.000
112 JAIR SOARES RS PPB 84 368 0.772 112.000
113 COLBERT MARTINS 27 148 0.818 113.000
114 DOMINGOS LEONELLI BA 75 324 0.769 114.000
115 MOACYR ANDRADE AL PPB 68 271 0.749 115.000
116 LUIZ BUAIZ ES 91 357 0.745 116.000
117 OSMAR LEITAO RJ PFL 76 201 0.622 117.000
118 ADELSON SALVADOR ES PMDB 106 365 0.710 118.000
119 FLAVIO ARNS PR PSDB 82 359 0.772 119.000
120 PAES DE ANDRADE CE PMDB 40 201 0.801 120.000
121 EDUARDO COELHO 48 156 0.692 121.500
122 CHICAO BRIGIDO AC PMDB 96 332 0.711 121.500
123 ANA CATARINA 41 162 0.747 123.000
124 JOAO TOTA AC PPB 38 119 0.681 124.000
125 MARCOS VINICIUS DE CAMPOS 47 168 0.720 125.000
126 PAULO NASCIMENTO 28 159 0.824 126.000
127 ANTONIO JOAQUIM MT PSDB 76 250 0.696 127.000
128 AECIO DE BORBA CE PPB 35 138 0.746 128.000
129 ELIAS ABRAHAO PR PMDB 24 200 0.880 129.000
130 CARLOS MENDES GO PMDB 35 156 0.776 130.000
131 NELSON BORNIER RJ PSDB 1 16 0.938 131.000
132 EDUARDO BARBOSA MG PSDB 9 121 0.926 132.000
133 CASSIO CUNHA LIMA PB PMDB 34 169 0.799 133.000
134 ODAISA FERNANDES 28 166 0.831 134.000
135 FRANCISCO DIOGENES AC PFL 6 43 0.860 135.000
136 JOSE MELO AC PFL 29 167 0.826 136.500
137 RAIMUNDO COLOMBO 28 161 0.826 136.500
138 MAURICIO CAMPOS MG PSDB 53 350 0.849 138.000
139 PEDRO LUIS ALBUQUERQUE 26 133 0.805 139.000
140 MARCOS VINICIUS 29 169 0.828 140.000
141 MESSIAS GOIS SE PFL 34 165 0.794 141.000
142 PEDRO NOVAES MA PMDB 45 161 0.720 142.500
143 HUGO LAGRANHA RS PTB 55 211 0.739 142.500
144 MAURI SERGIO AC PMDB 9 123 0.927 144.000
145 JORGE ANDERS ES PSDB 12 182 0.934 145.000
146 NILTON GOMES (BAIANO) ES 28 182 0.846 146.000
147 EDSON SOARES MG PSDB 13 84 0.845 147.000
148 REGIS DE OLIVEIRA SP PFL 43 226 0.810 148.000
149 ADOLFO FETTER JUNIOR RS PPB 28 109 0.743 149.000
150 JAIR SIQUEIRA MG PPB 27 208 0.870 150.000
151 ANDRE PUCCINELLI MS PMDB 15 148 0.899 151.000
152 ILDEMAR KUSSLER RO PSDB 16 164 0.902 152.000
153 LUIS PIAUHYLINO PE 37 204 0.819 153.500
154 FATIMA PELAEZ AP PSDB 8 174 0.954 153.500
155 LUIZ CARLOS SANTOS SP PMDB 34 308 0.890 156.000
156 JOSE ELIAS MURAD MG PSDB 8 216 0.963 156.000
157 BENEDITO SA PI PSDB 8 201 0.960 156.000
158 MELQUIADES NETO TO PFL 29 262 0.889 158.000
159 MARCIO FORTES RJ PSDB 34 304 0.888 160.000
160 AYRTON XEREZ RJ PSDB 37 331 0.888 160.000
161 JOSE MUCIO MONTEIRO PE 37 362 0.898 160.000
162 EDUARDO MASCARENHAS RJ PSDB 32 284 0.887 162.000
163 ADELAIDE NERI AC PMDB 25 157 0.841 163.000
164 IVO MAINARDI RS PMDB 33 324 0.898 164.000
165 JOAO MAIA AC PFL 39 320 0.878 166.000
166 ELISEU PADILHA RS PMDB 34 272 0.875 166.000
167 MARCELO TEIXEIRA CE PMDB 31 307 0.899 166.000
168 MAURICIO NAJAR PFL 38 361 0.895 168.000
169 CANDIDO MENDES 22 127 0.827 169.000
170 JOSE COSTA AL 26 144 0.819 170.000
171 EDSON QUEIROZ CE 50 295 0.831 171.000
172 LUIZ DANTAS 19 127 0.850 172.000
173 OLAVO CALHEIROS AL PMDB 69 328 0.790 173.000
174 MARCOS LIMA MG PMDB 94 326 0.712 174.000
175 ARMANDO COSTA MG PMDB 64 348 0.816 175.000
176 ALMINO AFFONSO SP 66 331 0.801 176.000
177 AYRES DA CUNHA SP PFL 41 366 0.888 177.000
178 LEONIDAS CRISTINO CE 54 391 0.862 178.000
179 CARLOS MOSCONI MG PSDB 9 219 0.959 179.000
180 ALVARO RIBEIRO PE 38 152 0.750 180.000
181 ANTONIO KANDIR SP PSDB 8 154 0.948 181.000
182 OSWALDO SOLER PSDB 19 194 0.902 183.000
183 JOAO NATAL GO PMDB 38 302 0.874 183.000
184 IBERE FERREIRA 18 140 0.871 183.000
185 NELSON HARTER 44 150 0.707 185.000
186 LUIS ROBERTO PONTE RS 66 263 0.749 186.000
187 PAULO LUSTOSA CE PPB 48 122 0.607 187.000
188 CARLOS AIRTON AC PPB 62 261 0.762 188.000
189 CELIA MENDES AC PPB 69 289 0.761 189.000
190 PAULO DE VELASCO 1 15 0.933 190.500
191 NILTON CERQUEIRA RJ 1 20 0.950 190.500
192 ANTONIO BALHMANN CE 50 323 0.845 192.000
193 JOFRAN FREJAT DF 80 363 0.780 193.000
194 BENEDITO DOMINGOS DF 37 330 0.888 195.000
195 NILTON BAIANO PPB 35 157 0.777 195.000
196 JOSE LINHARES CE 64 356 0.820 195.000
197 ERALDO TRINDADE AP PPB 89 319 0.721 197.000
198 EDISON ANDRINO SC PMDB 72 301 0.761 198.500
199 HELIO ROSAS SP PMDB 27 308 0.912 198.500
200 ASDRUBAL BENTES PA PMDB 18 129 0.860 200.500
201 PAULO RITZEL RS PMDB 37 347 0.893 200.500
202 EMERSON OLAVO PIRES RO PSDB 28 202 0.861 202.500
203 JOSE COIMBRA SP PTB 58 343 0.831 202.500
204 IVANDRO CUNHA LIMA PB PMDB 53 346 0.847 205.500
205 JOSE ALDEMIR PB PMDB 68 352 0.807 205.500
206 FEU ROSA ES PPB 42 319 0.868 205.500
207 JOSE LUIZ CLEROT PB PMDB 95 347 0.726 205.500
208 EZIDIO PINHEIRO RS PSDB 74 376 0.803 208.000
209 MARIA ELVIRA MG PMDB 23 243 0.905 209.000
210 FIRMO DE CASTRO CE PSDB 44 342 0.871 210.000
211 MARIO MARTINS PA PMDB 10 209 0.952 213.500
212 LUIZ MAXIMO PSDB 17 135 0.874 213.500
213 OSCAR GOLDONI MS PMDB 61 267 0.772 213.500
214 MARISA SERRANO MS PSDB 39 367 0.894 213.500
215 MARCAL FILHO PSDB 23 196 0.883 213.500
216 REGINA LINO 21 139 0.849 213.500
217 JOAO LEAO BA PSDB 25 367 0.932 221.500
218 CARLOS APOLINARIO SP PMDB 25 350 0.929 221.500
219 PINHEIRO LANDIM CE PMDB 18 315 0.943 221.500
220 JOAO ALMEIDA BA PMDB 29 351 0.917 221.500
221 CARLOS NELSON SP PMDB 36 295 0.878 221.500
222 CONFUCIO MOURA RO PMDB 29 321 0.910 221.500
223 JOAO HENRIQUE PI PMDB 19 323 0.941 221.500
224 FERNANDO DINIZ MG PMDB 18 318 0.943 221.500
225 FREIRE JUNIOR TO 39 208 0.812 221.500
226 ORCINO GONCALVES GO PMDB 27 333 0.919 221.500
227 DJALMA DE ALMEIDA CESAR 8 167 0.952 229.000
228 NEUTO DE CONTO SC PMDB 18 132 0.864 229.000
229 FETTER JUNIOR 35 153 0.771 229.000
230 PIMENTEL GOMES CE 46 341 0.865 229.000
231 NICIAS RIBEIRO PA PSDB 17 187 0.909 229.000
232 FERNANDO GOMES BA PTB 7 181 0.961 232.500
233 LAIRE ROSADO RN PMDB 10 183 0.945 232.500
234 JOSE CHAVES PE PMDB 28 281 0.900 234.500
235 MARIO NEGROMONTE BA PSDB 17 355 0.952 234.500
236 BARBOSA NETO GO PMDB 21 242 0.913 237.500
237 JOSE PRIANTE PA PMDB 34 307 0.889 237.500
238 LIDIA QUINAN GO PMDB 24 335 0.928 237.500
239 GENESIO BERNARDINO MG PMDB 28 364 0.923 237.500
240 DEJANDIR DALPASQUALE SC PMDB 8 108 0.926 241.000
241 B. SA 6 146 0.959 241.000
242 ARY KARA SP 35 311 0.887 241.000
243 ANTONIO DO VALLE MG PMDB 60 394 0.848 244.000
244 EDINHO ARAUJO SP PMDB 38 387 0.902 244.000
245 GEDDEL VIEIRA LIMA BA PMDB 16 320 0.950 244.000
246 GERMANO RIGOTTO RS PMDB 21 333 0.937 247.500
247 JORGE TADEU MUDALEN SP PPB 31 321 0.903 247.500
248 JOAO MAGALHAES PMDB 25 184 0.864 247.500
249 HENRIQUE EDUARDO ALVES RN PMDB 24 303 0.921 247.500
250 EDINHO BEZ SC PMDB 28 358 0.922 250.000
251 ODACIR KLEIN RS PMDB 7 188 0.963 253.000
252 DARCISIO PERONDI RS PMDB 33 349 0.905 253.000
253 DE VELASCO 11 161 0.932 253.000
254 ARMANDO ABILIO PB PMDB 22 380 0.942 253.000
255 LUIZ PIAUHYLINO 9 150 0.940 253.000
256 MOREIRA FRANCO RJ PMDB 28 377 0.926 257.000
257 ALBERICO FILHO MA PMDB 27 287 0.906 257.000
258 GONZAGA MOTA 52 311 0.833 257.000
259 HUMBERTO SOUTO MG PFL 1 59 0.983 259.000
260 ALOYSIO NUNES FERREIRA SP PSDB 44 395 0.889 260.500
261 OSCAR ANDRADE PFL 9 179 0.950 260.500
262 ISRAEL PINHEIRO MG PTB 11 148 0.926 263.000
263 ARTHUR VIRGILIO 3 122 0.975 263.000
264 PAULO HESLANDER MG PTB 43 335 0.872 263.000
265 EMANUEL FERNANDES 1 62 0.984 265.000
266 ELIAS MURAD 4 132 0.970 267.500
267 CUNHA LIMA SP PPB 85 376 0.774 267.500
268 BONIFACIO DE ANDRADA MG PSDB 25 367 0.932 267.500
269 MURILO DOMINGOS 15 193 0.922 267.500
270 PEDRO YVES PPB 82 250 0.672 270.000
271 PAULO MOURAO TO PSDB 22 282 0.922 271.500
272 MARCIA MARINHO MA PSDB 17 225 0.924 271.500
273 JOAO FAUSTINO RN PSDB 8 136 0.941 273.000
274 ALBERTO GOLDMAN SP PSDB 32 352 0.909 276.000
275 MARINHA RAUPP RO PSDB 24 238 0.899 276.000
276 JOSE ANIBAL SP PSDB 9 303 0.970 276.000
277 NELSON OTOCH CE PSDB 13 299 0.957 276.000
278 ANTONIO CARLOS PANNUNZIO SP PSDB 17 371 0.954 276.000
279 JOSE THOMAZ NONO AL PSDB 36 290 0.876 283.500
280 ARNALDO MADEIRA 20 391 0.949 283.500
281 ALZIRA EWERTON AM PSDB 24 251 0.904 283.500
282 CANDINHO MATTOS PSDB 26 305 0.915 283.500
283 MARCONI PERILLO GO PSDB 28 340 0.918 283.500
284 JOVAIR ARANTES GO PSDB 29 347 0.916 283.500
285 LUIZ CARLOS HAULY PR PSDB 12 362 0.967 283.500
286 FRANCO MONTORO SP PSDB 14 288 0.951 283.500
287 KOYU IHA SP PSDB 17 349 0.951 283.500
288 NELSON MARCHEZAN RS PSDB 20 381 0.948 283.500
289 DALILA FIGUEIREDO 27 143 0.811 290.000
290 FATIMA PELAES 6 140 0.957 290.000
291 ARNON BEZERRA CE PSDB 12 314 0.962 290.000
292 ADEMIR LUCAS MG PSDB 29 215 0.865 294.000
293 RAIMUNDO GOMES DE MATOS 7 159 0.956 294.000
294 PEDRO HENRY PSDB 8 247 0.968 294.000
295 NESTOR DUARTE BA PSDB 19 327 0.942 294.000
296 OCTAVIO ELISIO MG PSDB 20 165 0.879 294.000
297 LUIZ HENRIQUE SC PMDB 15 167 0.910 297.000
298 ALEXANDRE SANTOS RJ PSDB 12 331 0.964 298.000
299 DANILO DE CASTRO MG PSDB 11 364 0.970 301.500
300 AECIO NEVES MG PSDB 10 303 0.967 301.500
301 JOSE DE ABREU SP PSDB 21 290 0.928 301.500
302 ANTONIO FEIJAO AP PSDB 21 345 0.939 301.500
303 ITAMAR SERPA RJ PSDB 17 301 0.944 301.500
304 LUCIANO CASTRO RR PSDB 21 338 0.938 301.500
305 MOISES BENNESBY 6 117 0.949 305.000
306 JAYME SANTANA MA PSDB 25 298 0.916 306.500
307 PAULO FEIJO RJ PSDB 5 358 0.986 306.500
308 EDSON SILVA CE PSDB 12 253 0.953 311.000
309 ADELSON RIBEIRO SE PSDB 35 377 0.907 311.000
310 OLAVIO ROCHA 2 157 0.987 311.000
311 CIPRIANO CORREIA RN PSDB 14 312 0.955 311.000
312 CECI CUNHA AL PSDB 19 344 0.945 311.000
313 JOSE TELES 25 133 0.812 311.000
314 ALDIR CABRAL 12 161 0.925 311.000
315 OSMANIO PEREIRA MG PSDB 13 319 0.959 315.000
316 CARLOS ALBERTO RN PSDB 5 242 0.979 317.000
317 ARTHUR VIRGILIO NETO AM PMDB 4 207 0.981 317.000
318 LUIZ FERNANDO AM PPB 18 323 0.944 317.000
319 BENITO GAMA BA PFL 13 362 0.964 322.000
320 NARCIO RODRIGUES 9 203 0.956 322.000
321 ADROALDO STRECK RS PSDB 15 383 0.961 322.000
322 RENATO JOHNSSON PR PSDB 23 345 0.933 322.000
323 DILSO SPERAFICO 9 155 0.942 322.000
324 RICARDO RIQUE PB PMDB 5 189 0.974 322.000
325 MOACIR MICHELETTO PMDB 51 141 0.638 322.000
326 LAURA CARNEIRO RJ PFL 38 275 0.862 326.500
327 FERNANDO TORRES AL PSDB 42 299 0.860 326.500
328 MARCUS VICENTE 3 142 0.979 328.000
329 JOSE EGYDIO RJ PFL 22 208 0.894 329.000
330 LUIZ MOREIRA BA PFL 19 345 0.945 330.000
331 ANTONIO AURELIANO MG PSDB 6 223 0.973 331.000
332 MARCIO REINALDO MOREIRA 17 160 0.894 332.000
333 MARIO DE OLIVEIRA MG 38 307 0.876 334.000
334 PEDRO CANEDO GO 52 294 0.823 334.000
335 NAIR XAVIER LOBO GO PMDB 20 306 0.935 334.000
336 OLAVO ROCHA PA PSDB 11 206 0.947 336.500
337 DUILIO PISANESCHI SP PTB 33 344 0.904 336.500
338 LUCIANO PIZZATO PR 12 178 0.933 338.000
339 DOLORES NUNES PFL 24 320 0.925 340.000
340 CELSO RUSSOMANNO SP PPB 20 347 0.942 340.000
341 PHILEMON RODRIGUES MG PTB 44 336 0.869 340.000
342 ALBERICO CORDEIRO AL PTB 39 246 0.841 344.000
343 EXPEDITO JUNIOR RO PFL 33 314 0.895 344.000
344 AUGUSTO FARIAS AL PFL 72 295 0.756 344.000
345 NELSON TRAD MS PTB 32 313 0.898 344.000
346 FERNANDO GONCALVES RS PPB 17 378 0.955 344.000
347 FLAVIO PALMIER DA VEIGA RJ PSDB 9 132 0.932 348.000
348 LUCIANO PIZZATTO 5 137 0.964 348.000
349 ETEVALDA GRASSI DE MENEZES 8 162 0.951 348.000
350 ANIVALDO VALE PA PSDB 21 364 0.942 351.500
351 JURANDYR PAIXAO SP PPB 18 222 0.919 351.500
352 DARCI COELHO TO PFL 8 259 0.969 351.500
353 LEOPOLDO BESSONE MG PTB 68 314 0.783 351.500
354 OSVALDO REIS TO 25 251 0.900 354.000
355 JOSE LOURENCO BA PFL 5 154 0.968 356.000
356 LUIS BARBOSA RR PPB 16 341 0.953 356.000
357 HERCULANO ANGHINETTI MG PSDB 23 311 0.926 356.000
358 FRANCISCO HORTA MG PFL 29 355 0.918 358.000
359 ALCIONE ATHAYDE RJ PPB 26 381 0.932 359.000
360 JOSE CARLOS COUTINHO RJ PFL 12 176 0.932 361.000
361 LAEL VARELLA MG PFL 5 286 0.983 361.000
362 PEDRO IRUJO BA PMDB 42 336 0.875 361.000
363 ELTON ROHNELT RR PFL 13 304 0.957 363.000
364 AUGUSTINO FREITAS MT 4 67 0.940 364.500
365 MOISES LIPNIK RR 24 246 0.902 364.500
366 PAULO TITAN PA PMDB 38 212 0.821 368.500
367 MARILU GUIMARAES MS PFL 26 283 0.908 368.500
368 JOSE CARLOS VIEIRA SC PFL 14 359 0.961 368.500
369 MICHEL TEMER SP PMDB 13 215 0.940 368.500
370 HOMERO OGUIDO PR PMDB 9 219 0.959 368.500
371 EULER RIBEIRO AM PFL 19 298 0.936 368.500
372 CORAUCI SOBRINHO SP PFL 93 394 0.764 372.000
373 ELISEU MOURA MA PFL 25 247 0.899 373.000
374 OSMIR LIMA AC PFL 11 181 0.939 374.000
375 CHICO DA PRINCESA PR PTB 34 359 0.905 376.000
376 OSVALDO COELHO PE PFL 8 266 0.970 376.000
377 OSVALDO BIOLCHI RS PTB 29 341 0.915 376.000
378 CARLOS MELLES MG PFL 10 305 0.967 378.000
379 ELISEU RESENDE MG PFL 12 362 0.967 379.500
380 MALULY NETTO SP PFL 22 320 0.931 379.500
381 REMI TRINTA MA 21 201 0.896 381.000
382 LAMARTINE POSELLA 10 156 0.936 383.500
383 ARLINDO VARGAS 3 119 0.975 383.500
384 JOSE REZENDE 9 106 0.915 383.500
385 JOSE SANTANA DE VASCONCELLOS 3 146 0.979 383.500
386 INOCENCIO DE OLIVEIRA PE PFL 4 239 0.983 387.500
387 ABELARDO LUPION PR PFL 13 348 0.963 387.500
388 JOSE TUDE BA PTB 5 226 0.978 387.500
389 LIMA NETTO RJ PFL 22 349 0.937 387.500
390 HUGO RODRIGUES DA CUNHA MG PPB 14 344 0.959 390.000
391 MARCOS MEDRADO BA 5 142 0.965 391.000
392 CARLOS MAGNO SE PFL 20 360 0.944 392.500
393 JULIO CESAR PI PFL 13 306 0.958 392.500
394 DAVI ALVES SILVA MA PPB 14 203 0.931 394.000
395 OSORIO ADRIANO DF PFL 8 325 0.975 396.000
396 JOSE CARLOS LACERDA RJ PSDB 24 198 0.879 396.000
397 JOSE JORGE PE PFL 13 289 0.955 396.000
398 BENEDITO DE LIRA AL 31 369 0.916 399.500
399 JAIRO AZI BA PFL 6 360 0.983 399.500
400 AUGUSTO VIVEIROS 44 371 0.881 399.500
401 EFRAIM MORAIS PB PFL 6 355 0.983 399.500
402 JOAO IENSEN PR PPB 19 279 0.932 403.000
403 ANTONIO JOAQUIM ARAUJO MA 33 232 0.858 403.000
404 RAUL BELEM MG PFL 6 245 0.976 403.000
405 MAURO LOPES MG PMDB 24 333 0.928 405.500
406 AFFONSO CAMARGO PR PFL 11 294 0.963 405.500
407 MAX ROSENMANN PR PSDB 42 235 0.821 407.500
408 ARACELY DE PAULA MG PFL 7 363 0.981 407.500
409 JOSE BORBA PR PTB 24 328 0.927 409.000
410 FRANCISCO RODRIGUES RR PTB 19 287 0.934 410.000
411 IBERE FERREIRA DE SOUZA RN PFL 0 188 1.000 411.000
412 NAN SOUZA MA PFL 19 232 0.918 412.000
413 ALCESTE ALMEIDA RR PMDB 45 314 0.857 413.500
414 CARLOS ALBERTO CAMPISTA RJ PFL 4 128 0.969 413.500
415 MURILO PINHEIRO AP PFL 13 325 0.960 416.000
416 PAULO CORDEIRO PR PFL 24 331 0.927 416.000
417 LEUR LOMANTO BA PFL 6 351 0.983 416.000
418 CESAR BANDEIRA MA PFL 11 321 0.966 421.000
419 ADAUTO PEREIRA PB PFL 6 320 0.981 421.000
420 ALVARO GAUDENCIO NETO PB PFL 10 360 0.972 421.000
421 HILARIO COIMBRA PA PSDB 23 334 0.931 421.000
422 RAIMUNDO SANTOS PA PFL 43 284 0.849 421.000
423 COSTA FERREIRA MA PFL 18 320 0.944 421.000
424 JONIVAL LUCAS BA PFL 5 346 0.986 421.000
425 DJALMA CESAR 0 15 1.000 425.000
426 CLAUDIO CHAVES PFL 15 170 0.912 428.000
427 ADEMIR CUNHA 8 162 0.951 428.000
428 ANTONIO GERALDO 11 288 0.962 428.000
429 INOCENCIO OLIVEIRA 2 163 0.988 428.000
430 JOAO RIBEIRO TO PFL 36 156 0.769 428.000
431 JOAO CARLOS BACELAR BA PFL 1 127 0.992 431.000
432 ODILIO BALBINOTTI PR PSDB 30 295 0.898 436.000
433 PAULO BAUER SC PFL 72 350 0.794 436.000
434 EUJACIO SIMOES BA 9 331 0.973 436.000
435 LUIZ BRAGA BA PFL 9 380 0.976 436.000
436 JOAO MELLAO NETO SP PFL 6 303 0.980 436.000
437 MAGNO BACELAR MA PFL 38 334 0.886 436.000
438 MANOEL CASTRO BA PFL 16 381 0.958 436.000
439 ALEXANDRE CERANTO PR PFL 7 270 0.974 436.000
440 JAIME FERNANDES MA PFL 4 379 0.989 436.000
441 ATILA LINS AM PFL 7 276 0.975 441.000
442 PAULO GOUVEA SC PFL 20 381 0.948 442.500
443 PAULO LIMA PFL 20 254 0.921 442.500
444 PEDRO NOVAIS 11 133 0.917 444.000
445 ANTONIO DOS SANTOS CE PFL 17 234 0.927 445.000
446 FELIX MENDONCA BA PTB 10 375 0.973 446.000
447 PAULO BORNHAUSEN SC PFL 11 321 0.966 449.500
448 CLAUDIO CAJADO BA PFL 5 376 0.987 449.500
449 PAES LANDIM PI PFL 11 289 0.962 449.500
450 MUSSA DEMES PI PFL 13 298 0.956 449.500
451 JOSE ROCHA BA PFL 6 386 0.984 449.500
452 JOSE CARLOS ALELUIA BA PFL 8 359 0.978 449.500
453 HERACLITO FORTES PI PMDB 18 334 0.946 454.000
454 MAURO FECURY MA PFL 11 173 0.936 454.000
455 JAIRO CARNEIRO BA PFL 6 364 0.984 454.000
456 AROLDO CEDRAZ BA PFL 4 355 0.989 456.000
457 ALBERTO SILVA PI PMDB 11 294 0.963 457.000
458 MENDONCA FILHO PE PFL 10 353 0.972 458.000
459 JOSE MENDONCA BEZERRA PE PFL 5 311 0.984 459.500
460 JAIME MARTINS MG PFL 19 296 0.936 459.500
461 LUIS EDUARDO BA PFL 2 159 0.987 461.000
462 PEDRINHO ABRAO GO PTB 10 243 0.959 462.000
463 EUDORO PEDROZA 5 61 0.918 463.000
464 AROLDE DE OLIVEIRA RJ PFL 11 308 0.964 464.500
465 CIRO NOGUEIRA PI PFL 15 345 0.957 464.500
466 RICARDO BARROS PR PPB 20 284 0.930 466.000
467 PEDRO CORREA PE PPB 18 332 0.946 467.500
468 CARLOS DA CARBRAS AM PPB 7 175 0.960 467.500
469 JOSE JANENE PR 28 325 0.914 470.000
470 JOAO MENDES RJ PPB 27 329 0.918 470.000
471 MARQUINHO CHEDID SP 13 262 0.950 470.000
472 ANTONIO JORGE TO PFL 18 354 0.949 472.000
473 BASILIO VILLANI PR PSDB 14 285 0.951 473.500
474 RICARDO IZAR SP PPB 18 348 0.948 473.500
475 DELFIM NETTO SP PPB 36 277 0.870 475.500
476 NELSON MARQUEZELLI SP PTB 19 334 0.943 475.500
477 BETO MANSUR SP PPB 5 150 0.967 477.000
478 PAUDERNEY AVELINO AM PFL 10 297 0.966 478.000
479 HUGO BIEHL SC PPB 34 355 0.904 479.000
480 FLAVIO DERZI MS 23 259 0.911 480.000
481 ANTONIO UENO PR PFL 10 283 0.965 481.500
482 MARCIO MOREIRA MG 19 227 0.916 481.500
483 LAPROVITA VIEIRA RJ 35 310 0.887 483.000
484 ANIBAL GOMES CE PSDB 29 345 0.916 485.000
485 NEWTON CARDOSO MG 38 191 0.801 485.000
486 JOSE RESENDE MG PPB 7 238 0.971 485.000
487 EURICO MIRANDA RJ PPB 21 309 0.932 491.000
488 CARLOS CAMURCA RO 24 147 0.837 491.000
489 JOSE TELLES SE PPB 40 211 0.810 491.000
490 ARI MAGALHAES PI PPB 28 241 0.884 491.000
491 AUGUSTO NARDES RS PPB 58 352 0.835 491.000
492 ARY VALADAO PPB 2 73 0.973 491.000
493 ODELMO LEAO MG 16 388 0.959 491.000
494 NELSON MEURER PR 24 355 0.932 491.000
495 JULIO REDECKER RS PPB 54 306 0.824 491.000
496 NEY LOPES RN PFL 12 306 0.961 496.000
497 BENEDITO GUIMARAES PA PPB 21 304 0.931 498.500
498 JOAO PIZZOLATTI SC PPB 45 352 0.872 498.500
499 MARIA VALADAO GO PTB 26 305 0.915 498.500
500 MARIO CAVALLAZZI SC PPB 38 344 0.890 498.500
501 FAUSTO MARTELLO SP PPB 30 262 0.885 501.000
502 DILCEU SPERAFICO PR 38 388 0.902 503.000
503 ENIVALDO RIBEIRO PB PPB 12 317 0.962 503.000
504 BETINHO ROSADO RN PFL 37 325 0.886 503.000
505 FRANCISCO DORNELLES RJ PPB 8 120 0.933 505.000
506 GERSON PERES PA PPB 28 340 0.918 506.000
507 JORGE WILSON RJ PMDB 27 354 0.924 507.500
508 FELIPE MENDES PI PPB 20 370 0.946 507.500
509 NEIF JABUR MG PMDB 14 102 0.863 509.000
510 IBRAHIM ABI-ACKEL MG PPB 43 333 0.871 510.000
511 CUNHA BUENO SP PPB 73 232 0.685 511.000
512 CLEONANCIO FONSECA SE PMDB 66 263 0.749 512.000
513 ADHEMAR DE BARROS FILHO SP PPB 47 232 0.797 513.000
514 FRANCISCO SILVA 56 308 0.818 514.000
515 JACKSON PEREIRA CE PSDB 0 52 1.000 515.000
516 EMILIO ASSMAR 60 164 0.634 516.000
517 DILSON SPERAFICO MS PSDB 28 212 0.868 517.000
518 AGNALDO TIMOTEO RJ PDT 17 178 0.904 518.000
08 MAY 2003 13.36.09.50.The percent correctly classified is 92.1% (0.92072) and the APRE is .699 (0.69939). In the two-dimensional plot below the party tokens are:
RANDOM NUMBER SEED 59800
BRAZIL2A.TXT
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING
2 420 20 43 2 1 10 0.005
(43a1,3600I1)
(I5,1X,43A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 2 13483 139474 0.09667 0.90333 0.63346 0.00000
LEGISLATORS 2 12103 139474 0.08678 0.91322 0.67098 0.00000
2 ROLL CALLS 2 11869 139474 0.08510 0.91490 0.67734 0.99271
LEGISLATORS 2 11655 139474 0.08356 0.91644 0.68316 0.95625
3 ROLL CALLS 2 11581 139474 0.08303 0.91697 0.68517 0.99325
LEGISLATORS 2 11499 139474 0.08245 0.91755 0.68740 0.98592
4 ROLL CALLS 2 11459 139474 0.08216 0.91784 0.68849 0.99876
LEGISLATORS 2 11427 139474 0.08193 0.91807 0.68936 0.99609
5 ROLL CALLS 2 11411 139474 0.08181 0.91819 0.68979 0.99852
LEGISLATORS 2 11387 139474 0.08164 0.91836 0.69044 0.99597
6 ROLL CALLS 2 11380 139474 0.08159 0.91841 0.69063 0.99865
LEGISLATORS 2 11366 139474 0.08149 0.91851 0.69102 0.98805
7 ROLL CALLS 2 11354 139474 0.08141 0.91859 0.69134 0.99930
LEGISLATORS 2 11343 139474 0.08133 0.91867 0.69164 0.99432
8 ROLL CALLS 2 11337 139474 0.08128 0.91872 0.69180 0.99917
LEGISLATORS 2 11312 139474 0.08110 0.91890 0.69248 0.99245
9 ROLL CALLS 2 11309 139474 0.08108 0.91892 0.69256 0.99833
LEGISLATORS 2 11301 139474 0.08103 0.91897 0.69278 0.99956
10 ROLL CALLS 2 11298 139474 0.08100 0.91900 0.69286 0.99964
LEGISLATORS 2 11274 139474 0.08083 0.91917 0.69352 0.99946
11 ROLL CALLS 2 11271 139474 0.08081 0.91919 0.69360 0.99951
LEGISLATORS 2 11264 139474 0.08076 0.91924 0.69379 0.99946
12 ROLL CALLS 2 11259 139474 0.08072 0.91928 0.69392 0.99767
LEGISLATORS 2 11254 139474 0.08069 0.91931 0.69406 0.99926
13 ROLL CALLS 2 11252 139474 0.08067 0.91933 0.69411 0.99674
LEGISLATORS 2 11244 139474 0.08062 0.91938 0.69433 0.99971
14 ROLL CALLS 2 11242 139474 0.08060 0.91940 0.69439 0.99957
LEGISLATORS 2 11235 139474 0.08055 0.91945 0.69458 0.99886
15 ROLL CALLS 2 11235 139474 0.08055 0.91945 0.69458 0.99960
LEGISLATORS 2 11232 139474 0.08053 0.91947 0.69466 0.99946
16 ROLL CALLS 2 11231 139474 0.08052 0.91948 0.69469 0.99985
LEGISLATORS 2 11227 139474 0.08050 0.91950 0.69479 0.99982
17 ROLL CALLS 2 11222 139474 0.08046 0.91954 0.69493 0.99969
LEGISLATORS 2 11197 139474 0.08028 0.91972 0.69561 0.98847
18 ROLL CALLS 2 11194 139474 0.08026 0.91974 0.69569 0.99980
LEGISLATORS 2 11191 139474 0.08024 0.91976 0.69577 0.99966
19 ROLL CALLS 2 11191 139474 0.08024 0.91976 0.69577 0.99994
LEGISLATORS 2 11191 139474 0.08024 0.91976 0.69577 0.99989
20 ROLL CALLS 2 11096 139474 0.07956 0.92044 0.69836 0.99640
LEGISLATORS 2 11067 139474 0.07935 0.92065 0.69914 0.99402
MEAN VOLUME LEG. 0.0337 0.0642
MACHINE PREC. 2 11058 139474 0.07928 0.92072 0.69939
MACHINE PREC. 2 11058 139474 0.07928 0.92072 0.69939
13.36.09.56.
ELAPSED TIME OF JOB 13.43.58.48.
w PT = Worker's Party
p PPB = Brazilian Progressive Party
d PDT = Democratic Labor Party
b PMDB = Party of the Brazilian Democratic Movement
L PFL = Party of the Liberal Front
s PSDB = Party of Brazilian Social Democracy
t PTB = Brazilian Labor Party
u = Unknown
This example is courtesy of
Jeff Lewis.
Control Card File for
California Assembly 1997-98 (PERFSTRT.CALIFORNIA) (Rename this to PERFSTRT.DAT)
California Assembly Roll
Call Data for 1997-98 (CA1997.TXT)The PERF21.DAT should look something like this in one dimension:
11 MAY 2003 15.28.08.51.The correct classification is a very high 95.7% (0.95727) with an APRE of .813 (0.81253). This legislature is essentially unidimensional. Further evidence of this is shown by the skree plot of the eigenvalues of the double-centered agreement score matrix. The second eigenvalue is very small and only slightly higher than the 3rd.
RANDOM NUMBER SEED 51200
CA1997.TXT
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING OF 1997 CA LEGISLATURE
1 1569 20 33 4 1 10 0.005
(33A1,3900I1)
(I5,1X,33A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 1 5015 115044 0.04359 0.95641 0.80876
2 LEGISLATORS 1 4984 115044 0.04332 0.95668 0.80994 0.99906
3 ROLL CALLS 1 4945 115044 0.04298 0.95702 0.81143
4 LEGISLATORS 1 4943 115044 0.04297 0.95703 0.81150 0.99936
5 ROLL CALLS 1 4920 115044 0.04277 0.95723 0.81238
6 LEGISLATORS 1 4919 115044 0.04276 0.95724 0.81242 0.99973
7 ROLL CALLS 1 4916 115044 0.04273 0.95727 0.81253
8 LEGISLATORS 1 4916 115044 0.04273 0.95727 0.81253 0.99990
15.28.08.62.
ELAPSED TIME OF JOB 15.28.13.07.
Below is the rank ordering from Left to Right. The the red D's are Democrats and the blue R's are Republicans. There is no overlap of the two political parties.
1 MIGDEN CAROLE D 37 1510 0.975 1.000PERF21.DAT for the California Assembly in two dimensions should look something like this:
2 ARONER DION D 35 1464 0.976 2.000
3 MARTINEZ DIANE D 152 1441 0.895 3.000
4 KUEHL SHEILA D 30 1495 0.980 4.000
5 VILLARAIGOSAANTONIO R. D 46 1491 0.969 5.000
6 BOWEN DEBRA D 107 1477 0.928 6.000
7 ORTIZ DEBORAH V. D 30 1501 0.980 7.000
8 FLOYD RICHARD D 142 1031 0.862 8.000
9 ESCUTIA MARTHA M. D 30 1504 0.980 9.000
10 SHELLEY KEVIN D 13 1508 0.991 10.000
11 KNOX WALLY D 25 1471 0.983 11.000
12 SWEENEY MICHIEAL D 44 1508 0.971 12.000
13 STROM-MARTINVIRGINIA D 27 1478 0.982 13.000
14 HONDA MIKE D 28 1514 0.982 14.000
15 FIGUEROA LIZ D 15 1450 0.990 15.000
16 PERATA DON D 25 1516 0.984 16.000
17 MAZZONI KERRY D 44 1516 0.971 17.500
18 MURRAY KEVIN D 33 1402 0.976 17.500
19 NAPOLITANO GRACE F. D 21 1510 0.986 19.000
20 WAYNE HOWARD D 36 1452 0.975 20.000
21 LEMPART TED D 24 1485 0.984 21.000
22 TORLAKSON TOM D 15 1536 0.990 22.000
23 BROWN VALERIE D 33 1480 0.978 23.000
24 DAVIS SUSAN D 11 1464 0.992 24.000
25 KEELEY FRED D 20 1530 0.987 25.000
26 THOMSON HELEN D 28 1516 0.982 26.000
27 ALQUIST ELAINE WHITE D 15 1510 0.990 27.000
28 WILDMAN SCOTT D 45 1462 0.969 28.500
29 CALDERA LOUIS D 85 797 0.893 28.500
30 WASHINGTON CARL D 40 1419 0.972 30.500
31 SCOTT JACK D 36 1425 0.975 30.500
32 GALLEGOS MARTIN D 15 1468 0.990 32.000
33 CARDENAS TONY D 9 1466 0.994 33.000
34 BUSTAMANTE CRUZ M. D 4 1504 0.997 34.000
35 HERTZBERG ROBERT M. D 11 1504 0.993 35.000
36 DUCHENY DENISE MORENO D 16 1432 0.989 36.000
37 HAVICE SALLY D 125 1491 0.916 37.000
38 VINCENT EDWARD D 14 1491 0.991 38.000
39 BACA JOE D 24 1505 0.984 39.000
40 WRIGHT RODERICK D 58 1450 0.960 40.000
41 PAPAN LOU D 28 1428 0.980 41.000
42 MACHADO MICHAEL J. D 16 1394 0.989 42.000
43 CARDOZA DENNIS A. D 32 1461 0.978 43.000
44 CUNNEEN JIM R 62 1473 0.958 44.000
45 FRUSETTA PETER R 66 1391 0.953 45.000
46 KUYKENDALL STEVEN T. R 35 1411 0.975 46.000
47 FIRESTONE BROOKS R 46 1365 0.966 47.000
48 MORRISSEY JIM R 68 1481 0.954 48.000
49 PACHECO ROD R 115 1410 0.918 49.000
50 PRENTER ROBERT M. R 72 1345 0.946 50.000
51 AGUIAR FRED R 66 1470 0.955 51.000
52 GOLDSMITH JAN R 119 1397 0.915 52.000
53 RICHTER BERNIE R 104 1099 0.905 53.000
54 TAKASUGI NAO R 75 1472 0.949 54.000
55 GRANLUND BRETT R 145 1512 0.904 55.000
56 LEACH LYNNE C. R 85 1397 0.939 56.000
57 BATTIN JIM R 81 1451 0.944 57.000
58 CAMPBELL BILL R 113 1476 0.923 58.000
59 WOODS TOM R 115 1371 0.916 59.000
60 MARGETT BOB R 62 1362 0.954 60.000
61 ASHBURN ROY R 64 1459 0.956 61.000
62 BORDONARO TOM J. R 102 1490 0.932 62.000
63 MILLER GARY R 71 1491 0.952 63.000
64 BOWLER LARRY R 117 1464 0.920 64.000
65 ALBY BARBARA R 67 1286 0.948 65.000
66 HOUSE GEORGE R 148 1454 0.898 66.000
67 POOCHIGIAN CHARLES S. R 35 1453 0.976 67.000
68 BREWER MARILYN C. R 120 1475 0.919 68.000
69 MARROW BILL R 107 1486 0.928 69.000
70 LEONARD BILL R 151 1468 0.897 70.000
71 RUNNER GEORGE R 82 1384 0.941 71.000
72 OLBERG KEITH R 46 1353 0.966 72.000
73 THOMPSON BRUCE R 157 1360 0.885 73.000
74 KALOOGIAN HOWARD R 65 1361 0.952 74.000
75 OLLER THOMAS (RICO) R 49 1477 0.967 75.000
76 ACKERMAN RICHARD (DICK)R 104 1550 0.933 76.000
77 BAUGH SCOTT R 90 1465 0.939 77.000
78 PRINGLE CURT R 91 1335 0.932 78.000
79 BALDWIN STEVE R 83 1400 0.941 79.000
80 MCCLINTOCK TOM J. R 114 1493 0.924 80.000
11 MAY 2003 15.54.16.54.The correct classification is now 96.4% (0.96368) with an APRE of 0.84067. The increase of .641% in correct classification was paid for by increasing the number of parameters from 80+1569 = 1649 in one dimension to (80+1569)*2 = 3298 in two dimensions. In other words increasing the correct classification by 4916-4178 = 738 was paid for by adding 1649 parameters -- more than two parameters for each additional correctly classified choice!
RANDOM NUMBER SEED 87400
CA1997.TXT
NON-PARAMETRIC MULTIDIMENSIONAL UNFOLDING OF 1997 CA LEGISLATURE
2 1569 20 33 4 1 10 0.005
(33A1,3900I1)
(I5,1X,33A1,2I5,50F8.3)
******************************************************************************
1 ROLL CALLS 2 4498 115044 0.03910 0.96090 0.82847 0.00000
LEGISLATORS 2 4474 115044 0.03889 0.96111 0.82939 0.00000
2 ROLL CALLS 2 4409 115044 0.03832 0.96168 0.83187 0.99637
LEGISLATORS 2 4398 115044 0.03823 0.96177 0.83228 0.99958
3 ROLL CALLS 2 4369 115044 0.03798 0.96202 0.83339 0.99877
LEGISLATORS 2 4367 115044 0.03796 0.96204 0.83347 0.99980
4 ROLL CALLS 2 4354 115044 0.03785 0.96215 0.83396 0.99922
LEGISLATORS 2 4353 115044 0.03784 0.96216 0.83400 0.99998
5 ROLL CALLS 2 4347 115044 0.03779 0.96221 0.83423 0.99922
LEGISLATORS 2 4345 115044 0.03777 0.96223 0.83431 0.99994
6 ROLL CALLS 2 4342 115044 0.03774 0.96226 0.83442 0.99792
LEGISLATORS 2 4341 115044 0.03773 0.96227 0.83446 0.99999
7 ROLL CALLS 2 4332 115044 0.03766 0.96234 0.83480 0.99929
LEGISLATORS 2 4331 115044 0.03765 0.96235 0.83484 1.00000
8 ROLL CALLS 2 4328 115044 0.03762 0.96238 0.83495 0.99901
LEGISLATORS 2 4328 115044 0.03762 0.96238 0.83495 1.00000
9 ROLL CALLS 2 4328 115044 0.03762 0.96238 0.83495 0.99967
LEGISLATORS 2 4328 115044 0.03762 0.96238 0.83495 1.00000
10 ROLL CALLS 2 4325 115044 0.03759 0.96241 0.83507 0.99891
LEGISLATORS 2 4325 115044 0.03759 0.96241 0.83507 1.00000
11 ROLL CALLS 2 4325 115044 0.03759 0.96241 0.83507 0.99901
LEGISLATORS 2 4324 115044 0.03759 0.96241 0.83511 1.00000
12 ROLL CALLS 2 4323 115044 0.03758 0.96242 0.83514 0.99922
LEGISLATORS 2 4323 115044 0.03758 0.96242 0.83514 1.00000
13 ROLL CALLS 2 4323 115044 0.03758 0.96242 0.83514 0.99890
LEGISLATORS 2 4323 115044 0.03758 0.96242 0.83514 1.00000
14 ROLL CALLS 2 4321 115044 0.03756 0.96244 0.83522 0.99875
LEGISLATORS 2 4321 115044 0.03756 0.96244 0.83522 1.00000
15 ROLL CALLS 2 4321 115044 0.03756 0.96244 0.83522 0.99896
LEGISLATORS 2 4321 115044 0.03756 0.96244 0.83522 1.00000
16 ROLL CALLS 2 4321 115044 0.03756 0.96244 0.83522 0.99840
LEGISLATORS 2 4321 115044 0.03756 0.96244 0.83522 1.00000
17 ROLL CALLS 2 4320 115044 0.03755 0.96245 0.83526 0.99927
LEGISLATORS 2 4320 115044 0.03755 0.96245 0.83526 1.00000
18 ROLL CALLS 2 4319 115044 0.03754 0.96246 0.83530 0.99922
LEGISLATORS 2 4319 115044 0.03754 0.96246 0.83530 1.00000
19 ROLL CALLS 2 4319 115044 0.03754 0.96246 0.83530 0.99894
LEGISLATORS 2 4319 115044 0.03754 0.96246 0.83530 1.00000
20 ROLL CALLS 2 4178 115044 0.03632 0.96368 0.84067 0.99622
LEGISLATORS 2 4178 115044 0.03632 0.96368 0.84067 1.00000
MEAN VOLUME LEG. 0.0024 0.0013
MACHINE PREC. 2 4178 115044 0.03632 0.96368 0.84067
MACHINE PREC. 2 4178 115044 0.03632 0.96368 0.84067
15.54.16.60.
ELAPSED TIME OF JOB 15.59.13.70.
Below is a two-dimensional plot of the California Assembly Representatives. The R tokens are Republicans and the D tokens are Democrats.
