Audit Selections and Results for Congress03

Audit units are selected for audit weighted by the maximum possible miscount (up) they could contain. The audit units listed below were selected using the random seed value mersenne-twister 20100110 (plus hand picks) combined with the "Sequence" numbers according to the "Sum of Square Roots" pseudorandom number generator, to generate the values in the "Random" column. Each value from the "Random" column was then looked up in the "Cumulative Probability Total" column of the Unofficial Vote Tabulation Report, and the last row for which the "Cumulative Probability Total" was still larger than the Random number was selected.

This table lists the original machine counts, followed by the hand counts (as they become available), for each audit unit. If there is a discrepancy, the "Margin reduction" column lists the net reduction in the margin of victory for the unofficial winner, in votes. It will be negative if the margin increased. If there is a discrepancy, the "Taint" column will have a non-zero number. The KM column (Kaplan-Markov factor) indicates by what fraction each hand count reduces the probability of an incorrect outcome. It is larger when the Taint is greater than zero.

The Cumulative KM column summarizes the progress of the auditing for this contest. It comes from multiplying together all the KM factors up to and including that audit unit. When it becomes less than or equal to the pre-specified P-value (0.5 for this audit), the audit has reached its risk-reduction target. The progress is also shown in the graph, as the remaining risk drops down towards the target.

The first half of this list will be audited first, and if there are not many discrepancies with the hand count, that is all that will be needed. Otherwise, additional units moving down the list will be audited, until the target is reached. For more details, see the references on the main page.

Sequence Random Batches Ballots Maximum relative miscount: up CNGAIP CNGDEM CNGGRN CNGLIB CNGPAF CNGREP Under CNGDEM CNGLIB CNGPAF CNGREP Margin reduction Taint KM Cumulative KM
000001 0.408279 0606736740 670 0.039707 0 266 0 20 23 289 72 266 20 23 289 0 0.951148 0.951148
000002 0.800619 060678057156 716 0.045551 0 285 0 8 17 364 42 285 8 17 364 0 0.951148 0.904683
000003 0.946763 0606782030 592 0.025497 0 309 0 5 50 162 66 309 5 50 162 0 0.951148 0.860488
000004 0.497369 0606758200 706 0.051452 0 210 0 10 30 402 54 211 10 30 403 0 0.951148 0.818452
000005 0.461929 0606755800 688 0.037873 0 301 0 12 34 274 67 301 12 34 274 0 0.951148 0.778469
000006 0.812794 060678057620 544 0.036670 0 195 0 12 13 291 33 196 12 13 293 -2 (note) -0.000368 0.950798 0.740167
000007 0.723504 060678034804 436 0.027846 0 175 0 7 7 225 22 205 7 7 195 60 (note) 0.123457 1.085113 0.803164
000008 0.831293 060678061130 863 0.057698 0 330 0 16 6 474 37 330 16 6 474 0 0.951148 0.763929
000009 0.162158 0606721310 440 0.022632 0 197 0 4 35 152 52 197 4 35 152 0 0.951148 0.726609
000010 0.982467 0609549700A 634 0.042457 0 229 0 26 21 336 22 229 26 21 336 0 0.951148 0.691113
000011 0.956941 0606787344 338 0.025096 0 86 0 7 15 186 44 86 7 15 186 0 0.951148 0.657351
000012 0.676670 060678029102 736 0.041769 0 330 0 19 26 323 38 334 19 26 324 3 (note) 0.004115 0.955079 0.627822
000013 0.600174 060678024324 417 0.026471 0 156 0 12 14 201 34 156 12 14 201 0 0.951148 0.597152
000014 0.369314 0606734106 623 0.034607 0 257 0 25 32 238 71 257 25 32 238 0 0.951148 0.567980
000015 0.242124 0606724312 26 0.001662 0 9 0 0 2 12 3 11 2 3 10 4 (note) 0.137931 1.103332 0.626671
000016 0.802390 060678057206 591 0.035753 0 246 0 13 14 279 39 246 13 14 279 0 0.951148 0.596057
000017 0.773400 060678053126 444 0.026528 0 185 0 13 16 204 26 185 13 16 204 0 0.951148 0.566938
000018 0.031712 06005AV130 424 0.028992 0 149 0 13 12 231 19 150 13 12 230 2 (note) 0.003953 0.954923 0.541382
000019 0.278919 0606726108 685 0.039592 0 284 0 14 36 290 61 284 14 36 290 0 0.951148 0.514935
000020 0.689625 060678031204 538 0.038332 0 166 0 13 23 297 39 166 13 23 297 0 0.951148 0.489779
000021 0.364742 0606733224 684 0.048760 0 220 0 10 9 387 58 220 10 11 387 2 (note) 0.000289 0.951423 0.465987
000022 0.686959 060678031132 724 0.046582 0 270 0 14 22 359 59 270 14 22 359 0 0.951148 0.443223
000023 0.980938 0609549700A 634 0.042457 0 229 0 26 21 336 22 229 26 21 336 0 0.951148 0.421571
000024 0.309017 0606728102 685 0.036040 0 316 0 23 27 260 59 316 23 27 260 0 0.951148 0.400976
000025 0.971225 0606789318 606 0.042686 0 174 0 17 43 313 59 174 17 43 313 0 0.951148 0.381388
000026 0.767892 060678052200 527 0.028476 0 247 0 15 21 217 27 247 15 21 217 0 0.951148 0.362757
000027 0.566319 060678023118 579 0.033175 0 247 0 14 34 247 37 247 14 34 247 0 0.951148 0.345035
000028 0.313497 0606728312 710 0.038790 0 323 0 22 25 290 50 323 22 25 290 0 0.951148 0.328180
000029 0.032250 06005CP01 447 0.030883 0 152 0 15 15 244 21 152 15 15 244 0 0.951148 0.312148
000030 0.490957 0606757750 381 0.026643 0 118 0 11 24 202 26 118 11 24 202 0 0.951148 0.296899
000031 0.120903 06009520 990 0.067954 0 332 0 34 33 528 63 332 36 33 528 2 (note) 0.000199 0.951337 0.282451
000032 0.099487 06009350 919 0.055406 0 392 0 30 16 440 41 393 30 16 442 -2 (note) -0.000244 0.950917 0.268587
000033 0.628309 060678025810 435 0.021486 0 224 0 9 18 164 20 224 9 18 164 0 0.951148 0.255466
000034 0.101225 06009350 919 0.055406 0 392 0 30 16 440 41 393 30 16 442 -2 (note) -0.000244 0.950917 0.242927
000035 0.289737 0606726420 382 0.021085 0 172 0 14 15 158 23 182 14 15 158 10 (note) 0.027174 0.977717 0.237514
000036 0.996040 0609594939 209 0.013407 0 80 0 4 6 105 14 80 4 6 105 0 0.951148 0.225911
000037 0.543676 060678022102 467 0.028706 0 182 0 13 15 216 41 182 13 15 216 0 0.951148 0.214875
000038 0.127084 06009535 1119 0.075804 0 393 0 35 39 597 55 393 35 39 597 0 0.951148 0.204378
000039 0.121083 06009520 990 0.067954 0 332 0 34 33 528 63 332 36 33 528 2 (note) 0.000199 0.951337 0.194432
000040 0.033285 06005CP01 447 0.030883 0 152 0 15 15 244 21 152 15 15 244 0 0.951148 0.184934
000041 0.566818 060678023126 442 0.028305 0 163 0 16 21 215 27 164 16 21 215 1 (note) 0.002024 0.953078 0.176256
000042 0.828676 060678061100 1020 0.068470 0 395 0 14 12 570 29 395 14 12 570 0 0.951148 0.167646
000043 0.342894 0606731404 628 0.039764 0 228 0 13 36 294 57 228 13 36 294 0 0.951148 0.159456
000044 0.588563 060678023624 436 0.024294 0 180 0 21 27 168 40 180 21 27 168 0 0.951148 0.151666
000045 0.110315 06009430 990 0.063370 0 377 0 34 30 493 56 377 34 30 493 0 0.951148 0.144257
000046 0.277330 0606726108 685 0.039592 0 284 0 14 36 290 61 284 14 36 290 0 0.951148 0.137210
000047 0.047917 06005CP16 319 0.020799 0 115 0 15 12 159 18 115 15 12 159 0 0.951148 0.130507
000048 0.193523 0606722716 644 0.034607 0 294 0 9 25 254 62 294 9 25 254 0 0.951148 0.124132
000049 0.900551 060678089318 537 0.034779 0 191 0 10 40 261 35 191 10 40 261 0 0.951148 0.118068
000050 0.619219 060678025430 538 0.030023 0 248 0 9 15 234 32 249 17 15 234 1 (note) 0.001908 0.952967 0.112514
000051 0.422998 0606737312 530 0.036212 0 185 0 12 11 287 35 186 21 11 287 9 (note) 0.001678 0.952747 0.107198
000052 0.176488 0606722120 568 0.034034 0 212 0 5 18 238 95 212 5 18 238 0 0.951148 0.101961
000053 0.098457 06009340 846 0.047270 0 383 0 37 17 362 47 383 37 17 362 0 0.951148 0.096980

Discrepancy Notes

KM Factor Graph

Here is an interactive graph of the KM factor data. Hover the mouse over the points to see the exact values.

Page generated: Thu, 2 Dec 2010 19:14:00 -0700