Supervised Text Classification

Carregamento de biblioteca

library(RTextTools)

Dados seguindo a mesma distribuição

data(USCongress)

Alguns pontos de dados

head(USCongress)
##   ID cong billnum h_or_sen major
## 1  1  107    4499       HR    18
## 2  2  107    4500       HR    18
## 3  3  107    4501       HR    18
## 4  4  107    4502       HR    18
## 5  5  107    4503       HR     5
## 6  6  107    4504       HR    21
##                                                                                                                                                                                                                                       text
## 1                                                                                                                                                                                 To suspend temporarily the duty on Fast Magenta 2 Stage.
## 2                                                                                                                                                                                 To suspend temporarily the duty on Fast Black 286 Stage.
## 3                                                                                                                                                                                To suspend temporarily the duty on mixtures of Fluazinam.
## 4                                                                                                                                                                                  To reduce temporarily the duty on Prodiamine Technical.
## 5                                                                                                                                                     To amend the Immigration and Nationality Act in regard to Caribbean-born immigrants.
## 6 To amend title 38, United States Code, to extend the eligibility for housing loans guaranteed by the Secretary of Veterans Affairs under the Native American Housing Loan Pilot Program to veterans who are married to Native Americans.

Preprocessamento dos dados de entrada

Criação da matrix de term-document.

Notar que a remoção de termos esparsos está em .998, e portanto a simplificação da matrix é alta na remoção de termos esparsos, mas isso prejudica o desempenho do classificador (na pratica usaremos um valor menor). Além disso, o idioma está definido para ingles, mas o idioma em portugues está disponível. Também é neste momento que o pré-processamento dos dados é feito (remoção de números, stem, entre outros estão também disponíveis neste pacote).

doc_matrix <- create_matrix(USCongress$text, language = "english", removeNumbers = TRUE, 
    stemWords = TRUE, removeSparseTerms = 0.998)

Criação do container

O container será o input final para os algoritmos de aprendizagem. Ele utiliza a matrix de term-document e separa os dados em treino e teste (i.e. modelo HOLDOUT de generalização), bem como os labels associados a cada documento. Observar que o conjunto de treino foi definido como os 4k primeiros documentos e os remanescentes como dados de teste. Ao se definir virgin=FALSE estamos avaliando a generalizacão do modelo, enquanto em virgin=TRUE estamos querendo de fato a classificação de novos labels que não possuimos os valores ground truth.

container <- create_container(doc_matrix, USCongress$major, trainSize = 1:4000, 
    testSize = 4001:4449, virgin = FALSE)

Treinamento e Generalização dos modelos

Treinamento dos modelos

Existem trade-off na performance dos modelos de acordo com a distribuição dos dados e limite de processamento desejado, isso será dependente dos dados que queremos avaliar o treinamento. Aqui estao listado apenas os de baixo custo de memoria (os outros demoraram demais em meu mac).

SVM <- train_model(container, "SVM")
MAXENT <- train_model(container, "MAXENT")

Classificação dos dados de teste a partir dos modelos de treino para cada modelo de aprendizagem

SVM_CLASSIFY <- classify_model(container, SVM)
MAXENT_CLASSIFY <- classify_model(container, MAXENT)

Generalização

A biblioteca utiliza varias funções de performace. Eu particularmente prefiro apesar de mais trabalhosas as matrizes de confusão, que a biblioteca não implementa. De toda forma, fica a gosto do freguês!

analytics <- create_analytics(container, cbind(SVM_CLASSIFY, MAXENT_CLASSIFY))
summary(analytics)
## ENSEMBLE SUMMARY
## 
##        n-ENSEMBLE COVERAGE n-ENSEMBLE RECALL
## n >= 1                1.00              0.75
## n >= 2                0.77              0.87
## 
## 
## ALGORITHM PERFORMANCE
## 
##        SVM_PRECISION           SVM_RECALL           SVM_FSCORE 
##               0.6685               0.6530               0.6505 
## MAXENTROPY_PRECISION    MAXENTROPY_RECALL    MAXENTROPY_FSCORE 
##               0.6145               0.6325               0.6190
# CREATE THE data.frame SUMMARIES
topic_summary <- analytics@label_summary
alg_summary <- analytics@algorithm_summary
ens_summary <- analytics@ensemble_summary
doc_summary <- analytics@document_summary

Sumario de topicos

topic_summary
##    NUM_MANUALLY_CODED NUM_CONSENSUS_CODED NUM_PROBABILITY_CODED
## 1                   9                   8                     8
## 2                   5                   4                     4
## 3                  66                  62                    62
## 4                  24                  26                    26
## 5                  33                  36                    36
## 6                  27                  22                    22
## 7                  24                  26                    26
## 8                   4                   6                     6
## 10                 23                  22                    22
## 12                 28                  35                    35
## 13                  5                   6                     6
## 14                  8                   9                     9
## 15                 24                  23                    23
## 16                 16                  19                    19
## 17                 14                  14                    14
## 18                 19                  16                    16
## 19                  7                  10                    10
## 20                 52                  50                    50
## 21                 60                  55                    55
## 99                  1                   0                     0
##    PCT_CONSENSUS_CODED PCT_PROBABILITY_CODED PCT_CORRECTLY_CODED_CONSENSUS
## 1                88.89                 88.89                         55.56
## 2                80.00                 80.00                          0.00
## 3                93.94                 93.94                         83.33
## 4               108.33                108.33                         87.50
## 5               109.09                109.09                         81.82
## 6                81.48                 81.48                         70.37
## 7               108.33                108.33                         66.67
## 8               150.00                150.00                         50.00
## 10               95.65                 95.65                         73.91
## 12              125.00                125.00                         64.29
## 13              120.00                120.00                         60.00
## 14              112.50                112.50                         75.00
## 15               95.83                 95.83                         62.50
## 16              118.75                118.75                         68.75
## 17              100.00                100.00                         64.29
## 18               84.21                 84.21                         78.95
## 19              142.86                142.86                         57.14
## 20               96.15                 96.15                         82.69
## 21               91.67                 91.67                         81.67
## 99                0.00                  0.00                          0.00
##    PCT_CORRECTLY_CODED_PROBABILITY
## 1                            55.56
## 2                             0.00
## 3                            83.33
## 4                            87.50
## 5                            81.82
## 6                            70.37
## 7                            66.67
## 8                            50.00
## 10                           73.91
## 12                           64.29
## 13                           60.00
## 14                           75.00
## 15                           62.50
## 16                           68.75
## 17                           64.29
## 18                           78.95
## 19                           57.14
## 20                           82.69
## 21                           81.67
## 99                            0.00

Sumario de algoritmos

alg_summary
##    SVM_PRECISION SVM_RECALL SVM_FSCORE MAXENTROPY_PRECISION
## 1           0.38       0.67       0.48                 0.62
## 2           0.67       0.40       0.50                 0.00
## 3           0.89       0.86       0.87                 0.89
## 4           0.84       0.88       0.86                 0.81
## 5           0.73       0.73       0.73                 0.75
## 6           0.88       0.85       0.86                 0.86
## 7           0.72       0.75       0.73                 0.62
## 8           0.67       0.50       0.57                 0.33
## 10          0.77       0.74       0.75                 0.77
## 12          0.56       0.71       0.63                 0.51
## 13          0.60       0.60       0.60                 0.50
## 14          0.67       0.50       0.57                 0.67
## 15          0.74       0.71       0.72                 0.65
## 16          0.53       0.56       0.54                 0.58
## 17          0.73       0.57       0.64                 0.64
## 18          0.88       0.74       0.80                 0.94
## 19          0.45       0.71       0.55                 0.40
## 20          0.84       0.73       0.78                 0.86
## 21          0.82       0.85       0.83                 0.89
## 99           NaN       0.00        NaN                  NaN
##    MAXENTROPY_RECALL MAXENTROPY_FSCORE
## 1               0.56              0.59
## 2               0.00               NaN
## 3               0.83              0.86
## 4               0.88              0.84
## 5               0.82              0.78
## 6               0.70              0.77
## 7               0.67              0.64
## 8               0.50              0.40
## 10              0.74              0.75
## 12              0.64              0.57
## 13              0.60              0.55
## 14              0.75              0.71
## 15              0.62              0.63
## 16              0.69              0.63
## 17              0.64              0.64
## 18              0.79              0.86
## 19              0.57              0.47
## 20              0.83              0.84
## 21              0.82              0.85
## 99              0.00               NaN

Sumario de ensembles

ens_summary
##        n-ENSEMBLE COVERAGE n-ENSEMBLE RECALL
## n >= 1                1.00              0.75
## n >= 2                0.77              0.87

Sumario de documentos

doc_summary
##     SVM_LABEL SVM_PROB MAXENTROPY_LABEL MAXENTROPY_PROB MANUAL_CODE
## 1          12   0.7164               12          1.0000          12
## 2           5   0.7672                5          1.0000           5
## 3          15   0.7716               15          1.0000          15
## 4          10   0.9037               10          1.0000          10
## 5           3   0.9991                3          1.0000           3
## 6          18   0.6284               18          1.0000          18
## 7          21   0.9992               21          1.0000          21
## 8          16   0.3400               12          1.0000          12
## 9          20   0.9899               20          1.0000          20
## 10          3   0.6280                3          1.0000           3
## 11          5   0.4966                5          1.0000           5
## 12         21   0.9930               21          1.0000          21
## 13         21   0.7480               10          0.9991          21
## 14         21   0.7346               21          1.0000          21
## 15         12   0.8758               12          1.0000          12
## 16          3   0.9562                3          1.0000           3
## 17         16   0.6113               16          0.6964           3
## 18         21   0.4063                7          0.6985           7
## 19         17   0.2797                6          0.7673           3
## 20         16   0.5937               16          1.0000          16
## 21          3   0.9999                3          1.0000           3
## 22         15   0.9659               15          1.0000          15
## 23         20   0.7574               20          1.0000          20
## 24         20   0.8300               20          1.0000          20
## 25         21   0.6625               21          1.0000          21
## 26          3   0.9978                3          1.0000           3
## 27          5   0.4292                5          0.8623           5
## 28          3   0.8961                3          1.0000           4
## 29         15   0.6374               15          1.0000          15
## 30          5   0.1630                3          1.0000           1
## 31          4   0.9209                4          1.0000           4
## 32         12   0.3184               15          1.0000          12
## 33          4   0.9985                4          1.0000           4
## 34         12   0.5217               12          1.0000          20
## 35         20   0.7767               20          1.0000          20
## 36          4   0.3241               15          0.5041           4
## 37          4   0.9893                4          1.0000           4
## 38          1   0.6743                1          1.0000           1
## 39         20   0.8333               20          0.9482          20
## 40         20   0.6637               20          1.0000          20
## 41         20   0.7005               20          1.0000          20
## 42         21   0.8940               21          1.0000          21
## 43          4   0.8837                4          1.0000          12
## 44         13   0.8924               13          1.0000          16
## 45         21   0.6559               21          0.9999          21
## 46          6   0.9300                6          1.0000           6
## 47         20   0.6623               20          1.0000          20
## 48         19   0.4707               19          1.0000          18
## 49          7   0.9232                7          1.0000          20
## 50          7   0.2611                7          0.9995           8
## 51          3   0.9674                3          1.0000           3
## 52          1   0.3145               15          1.0000          16
## 53         21   0.4050               20          1.0000          20
## 54          1   0.3963               16          1.0000          16
## 55         21   0.3362               21          1.0000          21
## 56         10   0.8465               10          1.0000          10
## 57         21   0.8491               21          1.0000          21
## 58         16   0.2575               20          0.6219          16
## 59         21   0.7509               21          1.0000          21
## 60          1   0.1941                1          0.8838           1
## 61          7   0.9982                7          1.0000           7
## 62          3   1.0000                3          1.0000           3
## 63         12   0.6572               12          1.0000          12
## 64          3   0.9909                3          1.0000           3
## 65         18   0.9551               18          1.0000          18
## 66         20   0.8493               20          1.0000          20
## 67         15   0.4411                5          1.0000           5
## 68         21   0.8752               21          1.0000          21
## 69          4   0.9794                4          1.0000           4
## 70          4   0.9383                4          1.0000           4
## 71          1   0.5730               16          0.9999          16
## 72          4   0.9496                4          1.0000           4
## 73         21   0.9189               21          1.0000          21
## 74         10   0.5489               12          1.0000          10
## 75         16   0.8068               16          1.0000          16
## 76         16   0.7246               16          1.0000          16
## 77         10   0.6057               10          0.9998          10
## 78         20   0.9188               20          1.0000          20
## 79          3   0.1238                5          0.9996          17
## 80         21   0.9844               21          1.0000          21
## 81          5   0.2424                5          1.0000          20
## 82          7   0.8447                7          1.0000           7
## 83          4   0.9616                4          1.0000           4
## 84          7   0.8147                7          1.0000           7
## 85          1   0.4612               16          1.0000          16
## 86         17   0.5383               17          1.0000          17
## 87          3   0.9090                3          1.0000           3
## 88          3   0.9991                3          1.0000           3
## 89         15   0.1765                5          0.9974          15
## 90          3   0.8658                3          1.0000           3
## 91         15   0.4582               15          1.0000          15
## 92         12   0.1660               12          0.9830          21
## 93         15   0.5855               15          0.6691          15
## 94          1   0.6305               20          1.0000          20
## 95         12   0.7024               12          1.0000          12
## 96         15   0.3136                1          1.0000           1
## 97         20   0.8116               20          1.0000          20
## 98         20   0.3698               20          1.0000          20
## 99          4   0.9794                4          1.0000           4
## 100         5   0.8192                5          1.0000           5
## 101        18   0.1367                7          0.9986          20
## 102         5   0.5340               20          0.9993          20
## 103         4   0.9901                4          1.0000           4
## 104         3   0.9441                3          1.0000           3
## 105        18   0.9288               18          1.0000          18
## 106        14   0.8074               14          0.9954          14
## 107        21   0.7407               21          1.0000          21
## 108         2   0.5054               17          1.0000           2
## 109        20   0.9409               20          1.0000          20
## 110        15   0.2922               14          1.0000          14
## 111        14   0.4515               14          1.0000          13
## 112        15   0.8643               12          1.0000          15
## 113         6   0.2296                5          1.0000           6
## 114        19   0.3906               19          0.9995           5
## 115        12   0.4737               12          1.0000           2
## 116        19   0.7423               19          1.0000          19
## 117         3   0.9941                3          1.0000           3
## 118         3   0.6064                3          1.0000           3
## 119        15   0.6173               15          1.0000          15
## 120         6   0.9098                6          1.0000           6
## 121         5   0.6280                5          0.9990           5
## 122        21   0.8677               21          1.0000          21
## 123         3   0.9567                3          1.0000           3
## 124         3   0.9969                3          1.0000           3
## 125         5   0.6437                5          1.0000           5
## 126         3   0.9904                3          1.0000           3
## 127        21   0.6710               21          0.9999          10
## 128        21   0.5154               21          1.0000          21
## 129         3   0.9237                3          1.0000           3
## 130        10   0.2433               10          1.0000          10
## 131        15   0.5570               12          1.0000          12
## 132        17   0.1423               17          1.0000          17
## 133        12   0.3474               12          0.9019          20
## 134        21   0.8758               21          1.0000          21
## 135         6   0.4960               20          1.0000          20
## 136         4   0.9811                4          1.0000           4
## 137         7   0.2661               16          1.0000          21
## 138        17   0.5498               17          1.0000          17
## 139        20   0.2360               16          1.0000          20
## 140        21   0.9068               19          1.0000           7
## 141         8   0.8365                8          1.0000           8
## 142         3   0.7946                3          1.0000           3
## 143        20   0.6142               20          1.0000          20
## 144         5   0.7844                5          1.0000           5
## 145        13   0.9877               13          1.0000          13
## 146        20   0.3308                5          1.0000           5
## 147        13   0.7187               12          1.0000          13
## 148         3   0.7593                3          1.0000           3
## 149        21   0.9416               21          1.0000          21
## 150         5   0.6226                5          0.9944           5
## 151         1   0.3787               10          0.9385           6
## 152         6   0.9374                6          1.0000           6
## 153         3   0.2009                3          1.0000          10
## 154        15   0.2080               16          1.0000          15
## 155         5   0.1728               21          0.9982           2
## 156        12   0.9179               12          1.0000          12
## 157        20   0.7673               20          1.0000          20
## 158         3   0.7879                3          1.0000           3
## 159         3   0.9625                3          1.0000           3
## 160         5   0.4542                5          1.0000          15
## 161         5   0.6716                5          1.0000           5
## 162        21   0.9898               21          1.0000          21
## 163        12   0.2513               12          1.0000           2
## 164        12   0.3127               15          0.9998          10
## 165        12   0.6516               12          1.0000          12
## 166        19   0.7896                7          1.0000          19
## 167         5   0.6062                5          0.7369           5
## 168        21   0.7262               21          1.0000          21
## 169        20   0.9527               20          1.0000          20
## 170        20   0.2537               15          1.0000          15
## 171         6   0.9926                6          1.0000           6
## 172         3   0.8710                3          1.0000           3
## 173         5   0.6251                5          0.6184           3
## 174         6   0.8554                6          1.0000           6
## 175        10   0.9065               10          1.0000          10
## 176        20   0.8498               20          1.0000          20
## 177        16   0.9311               16          1.0000          16
## 178         1   0.9777                1          1.0000           6
## 179        21   0.5553               21          1.0000          21
## 180         6   0.4044                6          1.0000           6
## 181         6   0.9971                6          1.0000           6
## 182         3   0.9298                3          1.0000           3
## 183         3   0.9862                3          1.0000           3
## 184         6   0.8222                6          1.0000           6
## 185         6   0.7343                6          1.0000           6
## 186        12   0.9803               12          1.0000          12
## 187        20   0.9314               20          1.0000          20
## 188         5   0.6062                5          0.7369           5
## 189        12   0.2215               13          1.0000          21
## 190        21   0.7443               21          1.0000          21
## 191        15   0.2944               15          1.0000          17
## 192         3   0.5909                3          1.0000           3
## 193        20   0.6847               20          1.0000          20
## 194        10   0.4540                1          1.0000          18
## 195        20   0.8674               20          1.0000          20
## 196         8   0.8678                8          1.0000           8
## 197        21   0.6358               21          1.0000          21
## 198        20   0.9003               20          1.0000          20
## 199        21   0.5530               12          0.9998          21
## 200        20   0.9234               20          1.0000          20
## 201         6   0.7294                6          1.0000           6
## 202        12   0.2373               14          1.0000          12
## 203        20   0.2692               16          1.0000          16
## 204         3   0.9455                3          1.0000           3
## 205        20   0.6393               20          1.0000          20
## 206        21   0.8114               21          1.0000          21
## 207        20   0.1981                5          1.0000           5
## 208        20   0.8205               20          1.0000          20
## 209        10   0.5283               10          1.0000          10
## 210         3   0.4199                3          0.9587           3
## 211         3   0.4439               13          1.0000          13
## 212        20   0.2615               12          1.0000           4
## 213         1   0.5817                8          1.0000           7
## 214        17   0.6109               17          1.0000          17
## 215        15   0.3088               18          1.0000          18
## 216        15   0.5768                2          1.0000          15
## 217        19   0.7243               19          0.9866          18
## 218        10   0.5590               10          1.0000          10
## 219        10   0.7418               10          1.0000          10
## 220        10   0.4271               10          1.0000          10
## 221        21   0.8420               21          1.0000          21
## 222        20   0.4034               20          1.0000          20
## 223         6   0.9988                6          1.0000           6
## 224         3   0.5669                3          1.0000           3
## 225        12   0.4672               20          1.0000          12
## 226        18   0.9288               18          1.0000          18
## 227        18   0.9288               18          1.0000          18
## 228        18   0.9288               18          1.0000          18
## 229        18   0.9288               18          1.0000          18
## 230        18   0.9288               18          1.0000          18
## 231        18   0.9288               18          1.0000          18
## 232        21   0.4160               21          1.0000          21
## 233         7   0.6411                7          1.0000           7
## 234         3   0.9906                3          1.0000           3
## 235        10   0.5265               10          1.0000          17
## 236        14   0.4270               14          1.0000          14
## 237        21   0.9117               21          1.0000          21
## 238         6   0.8881                6          1.0000           6
## 239         3   0.9839                3          1.0000           3
## 240        21   0.5040               21          1.0000          21
## 241         7   0.8199                7          1.0000           7
## 242        20   0.8639               20          1.0000          20
## 243        21   0.9542               21          1.0000          21
## 244        21   0.3262               21          1.0000          21
## 245         4   0.8933                4          1.0000           4
## 246        21   0.3901               16          0.9959          19
## 247        21   0.5126                7          1.0000          21
## 248        10   0.5907               10          1.0000          10
## 249        12   0.1725               18          0.9999           3
## 250        18   0.9957               18          1.0000          18
## 251        21   0.2489               15          1.0000           5
## 252        21   0.5739               21          1.0000          21
## 253         7   0.6934                7          1.0000           7
## 254         7   0.2690                2          1.0000           7
## 255        21   0.9836               21          1.0000          21
## 256        16   0.8050               16          1.0000          16
## 257        16   0.1251               14          0.5783           7
## 258        21   0.9995               21          1.0000          21
## 259         3   0.7565                3          1.0000           3
## 260         5   0.6062                5          0.7369           5
## 261        21   0.9956               21          1.0000          21
## 262         6   0.9976                6          1.0000           6
## 263         1   0.8594                1          1.0000           1
## 264         4   0.4901                4          1.0000           4
## 265        12   0.4668               15          1.0000          15
## 266        20   0.8358               20          1.0000          20
## 267        12   0.9763               12          1.0000          12
## 268        21   0.5348                7          1.0000           7
## 269         3   0.6389                3          1.0000           3
## 270         4   0.9357                4          1.0000           4
## 271        21   0.7934               21          1.0000          21
## 272        16   0.4079               21          1.0000          21
## 273         4   0.9834                4          1.0000           4
## 274        21   0.9320               21          1.0000          21
## 275        15   0.1628               17          0.9997          15
## 276        16   0.7704               16          1.0000          16
## 277         6   0.9998                6          1.0000           6
## 278         5   0.6716                5          1.0000           5
## 279         5   0.7265                5          1.0000           5
## 280        12   0.4610               12          0.7684          10
## 281        12   0.3048               12          1.0000           1
## 282         3   0.3201                3          1.0000           3
## 283         5   0.5119               20          1.0000           5
## 284        20   0.7279               20          1.0000          20
## 285         4   0.6567                4          1.0000          14
## 286        12   0.2718               15          0.8582          12
## 287         3   0.9999                3          1.0000           3
## 288        21   0.8797               21          1.0000          21
## 289        16   0.8789               16          1.0000          16
## 290         7   0.9555                7          1.0000           7
## 291         7   0.7948                7          1.0000          15
## 292         7   0.4068               21          0.9505           7
## 293        21   0.9474               21          1.0000          21
## 294         7   0.8463                7          1.0000          21
## 295        12   0.2847               12          1.0000          12
## 296        20   0.7079               12          0.9998          12
## 297         5   0.8862                5          1.0000           5
## 298         3   0.9859                3          1.0000           3
## 299        20   0.9877               20          1.0000          20
## 300        10   0.5726               10          1.0000          10
## 301        14   0.6245               19          1.0000          19
## 302         3   0.9253                3          1.0000           3
## 303        15   0.6293               15          0.9856          15
## 304         2   0.1869                2          0.5221           3
## 305        16   0.6248               16          1.0000          21
## 306         7   0.9036                7          1.0000           7
## 307         7   0.9529                7          1.0000           7
## 308        15   0.6972               15          1.0000          15
## 309        21   0.9980               21          1.0000          21
## 310         3   0.8405               20          0.9941           3
## 311         3   0.7071                3          1.0000           3
## 312         3   0.8503                3          1.0000           3
## 313        20   0.6497               20          1.0000          20
## 314         7   0.9088                7          1.0000           7
## 315        21   0.7014               21          1.0000          21
## 316        21   0.9848               21          1.0000          21
## 317         3   0.9531                3          1.0000           3
## 318         7   0.8009                7          0.9973           7
## 319        12   0.4618               12          1.0000          12
## 320         5   0.7027                5          1.0000           5
## 321         6   0.1430               13          1.0000          12
## 322         5   0.6092                5          1.0000           5
## 323        20   0.6944               20          1.0000          20
## 324        15   0.7120               15          1.0000          15
## 325        10   0.8404               10          1.0000          10
## 326        12   0.6229               12          1.0000          12
## 327         8   0.5508                5          1.0000           5
## 328        21   0.3324               21          1.0000          21
## 329         3   0.9797                3          1.0000           3
## 330        19   0.3213               20          1.0000           8
## 331         4   0.8540                4          1.0000           4
## 332         3   0.9908                3          1.0000           3
## 333         2   0.2805                3          0.9997           2
## 334         5   0.1803               14          1.0000          14
## 335        21   0.8009               21          1.0000          21
## 336        12   0.4436               17          0.9717          17
## 337         4   0.9925                4          1.0000           4
## 338         5   0.6062                5          0.7369           5
## 339        17   0.2219               17          0.9998          20
## 340        10   0.3585               10          1.0000          10
## 341        20   0.5225               20          1.0000          20
## 342         3   0.1788               16          0.8573          15
## 343         5   0.1543                6          0.9741          12
## 344        19   0.7513               19          1.0000          19
## 345        17   0.2752               17          1.0000          20
## 346        20   0.8729               20          1.0000          20
## 347        21   0.9583               21          1.0000          21
## 348        16   0.3750                5          1.0000           5
## 349         6   0.9729                6          1.0000           6
## 350        19   0.2607               19          1.0000          12
## 351        19   0.5367               19          1.0000          19
## 352         3   0.9681                3          1.0000           3
## 353         3   0.8027                3          1.0000           3
## 354        21   0.2995               21          1.0000          21
## 355         3   0.9584                3          1.0000           3
## 356         6   0.8225                6          0.9993           6
## 357        21   0.3849               12          1.0000          16
## 358        18   0.9853               18          1.0000          18
## 359         7   0.5999                4          0.9979           4
## 360         3   0.9989                3          1.0000           3
## 361        13   0.3048                3          1.0000           3
## 362        17   0.5488               17          1.0000          17
## 363         4   0.9564                4          1.0000           4
## 364         4   0.8297                4          1.0000           4
## 365        12   0.8880               12          1.0000          12
## 366        10   0.3314               10          1.0000          10
## 367         3   0.9892                3          1.0000           3
## 368         4   0.9794                4          1.0000           4
## 369        12   0.8155               12          1.0000          12
## 370        12   0.3186                3          1.0000          12
## 371        17   0.5298               17          1.0000          17
## 372        17   0.7174               17          1.0000          17
## 373         7   0.9423                7          1.0000           7
## 374         3   0.9083                7          1.0000           3
## 375        10   0.7866               10          1.0000          10
## 376        10   0.5316               10          1.0000          10
## 377        16   0.7547               21          1.0000          21
## 378        16   0.8355               21          1.0000          16
## 379         7   0.1591                2          0.8225           7
## 380         4   0.8756                4          1.0000           4
## 381         1   0.8203                1          0.9707          17
## 382         5   0.7410                5          1.0000           3
## 383        20   0.9016               20          1.0000          20
## 384        21   0.8200               21          1.0000          21
## 385        12   0.7551               12          1.0000          12
## 386         5   0.3147                5          0.9971           5
## 387         7   0.7238                7          1.0000           7
## 388         3   0.9991                3          1.0000           3
## 389        20   0.6194               20          1.0000          20
## 390        19   0.5543               10          0.9935          19
## 391         5   0.5649                5          1.0000           5
## 392        18   0.9742               18          1.0000          18
## 393        20   0.2953               20          0.9993          17
## 394        21   0.3275               20          0.8639          20
## 395        14   0.7883               14          1.0000          14
## 396         7   0.4054                3          1.0000           7
## 397        16   0.5186               20          1.0000          20
## 398        21   0.5925                8          0.9989          21
## 399         4   0.5587                4          1.0000           3
## 400         1   0.3705                1          1.0000           1
## 401         3   0.1217               10          0.8326          10
## 402         1   0.3180                4          0.9999          10
## 403        10   0.6947               10          0.6293          14
## 404         7   0.6736                7          1.0000           7
## 405         3   0.3234                3          1.0000           5
## 406        20   0.1892               20          0.8347          20
## 407        21   0.9328               21          1.0000          21
## 408         5   0.9802                5          1.0000           5
## 409        12   0.2847               12          1.0000          12
## 410         5   0.2935                5          1.0000           5
## 411         3   0.9988                3          1.0000           3
## 412        15   0.4570               15          1.0000          15
## 413        13   0.9336               13          1.0000          13
## 414         6   0.9634                6          1.0000           6
## 415        21   0.2209               20          1.0000          12
## 416        12   0.7982               12          1.0000           3
## 417         3   0.5785                3          1.0000           3
## 418        18   0.1427               17          0.9758          21
## 419        18   0.9293               18          1.0000          18
## 420        18   0.9293               18          1.0000          18
## 421         7   0.6871                7          1.0000          21
## 422         1   0.3009               15          0.9175           1
## 423        10   0.2880                8          0.8164          18
## 424        19   0.7704               19          1.0000           6
## 425        21   0.2207               21          1.0000          20
## 426        21   0.9634               21          1.0000          21
## 427         3   0.6810                3          1.0000           3
## 428         5   0.3990               12          0.9998           5
## 429         4   0.9794                4          1.0000          15
## 430        20   0.3381               20          0.9967          20
## 431        10   0.3807                8          1.0000           7
## 432         6   0.9997                6          1.0000           6
## 433         6   0.9973                6          1.0000           5
## 434        12   0.1809                5          0.9151           6
## 435         6   0.2632               12          1.0000           6
## 436         6   0.4293               21          1.0000           6
## 437        15   0.5924               15          0.9983          15
## 438         6   0.7854               16          0.9999           6
## 439        12   0.5360               12          1.0000          99
## 440         6   0.9984                6          1.0000           6
## 441        15   0.7715               15          0.9589          15
## 442         3   0.6830                5          0.8119           3
## 443        12   0.4711               15          1.0000          15
## 444         1   0.6473                7          1.0000           1
## 445        14   0.9892               14          1.0000          14
## 446        17   0.9388               17          1.0000          17
## 447         3   0.8999                3          1.0000           3
## 448         3   0.9965                3          1.0000           3
## 449         3   0.9535                3          1.0000           3
##     CONSENSUS_CODE CONSENSUS_AGREE CONSENSUS_INCORRECT PROBABILITY_CODE
## 1               12               2                   0               12
## 2                5               2                   0                5
## 3               15               2                   0               15
## 4               10               2                   0               10
## 5                3               2                   0                3
## 6               18               2                   0               18
## 7               21               2                   0               21
## 8               12               1                   0               12
## 9               20               2                   0               20
## 10               3               2                   0                3
## 11               5               2                   0                5
## 12              21               2                   0               21
## 13              10               1                   1               10
## 14              21               2                   0               21
## 15              12               2                   0               12
## 16               3               2                   0                3
## 17              16               2                   1               16
## 18               7               1                   0                7
## 19               6               1                   1                6
## 20              16               2                   0               16
## 21               3               2                   0                3
## 22              15               2                   0               15
## 23              20               2                   0               20
## 24              20               2                   0               20
## 25              21               2                   0               21
## 26               3               2                   0                3
## 27               5               2                   0                5
## 28               3               2                   1                3
## 29              15               2                   0               15
## 30               3               1                   1                3
## 31               4               2                   0                4
## 32              15               1                   1               15
## 33               4               2                   0                4
## 34              12               2                   1               12
## 35              20               2                   0               20
## 36              15               1                   1               15
## 37               4               2                   0                4
## 38               1               2                   0                1
## 39              20               2                   0               20
## 40              20               2                   0               20
## 41              20               2                   0               20
## 42              21               2                   0               21
## 43               4               2                   1                4
## 44              13               2                   1               13
## 45              21               2                   0               21
## 46               6               2                   0                6
## 47              20               2                   0               20
## 48              19               2                   1               19
## 49               7               2                   1                7
## 50               7               2                   1                7
## 51               3               2                   0                3
## 52              15               1                   1               15
## 53              20               1                   0               20
## 54              16               1                   0               16
## 55              21               2                   0               21
## 56              10               2                   0               10
## 57              21               2                   0               21
## 58              20               1                   1               20
## 59              21               2                   0               21
## 60               1               2                   0                1
## 61               7               2                   0                7
## 62               3               2                   0                3
## 63              12               2                   0               12
## 64               3               2                   0                3
## 65              18               2                   0               18
## 66              20               2                   0               20
## 67               5               1                   0                5
## 68              21               2                   0               21
## 69               4               2                   0                4
## 70               4               2                   0                4
## 71              16               1                   0               16
## 72               4               2                   0                4
## 73              21               2                   0               21
## 74              12               1                   1               12
## 75              16               2                   0               16
## 76              16               2                   0               16
## 77              10               2                   0               10
## 78              20               2                   0               20
## 79               5               1                   1                5
## 80              21               2                   0               21
## 81               5               2                   1                5
## 82               7               2                   0                7
## 83               4               2                   0                4
## 84               7               2                   0                7
## 85              16               1                   0               16
## 86              17               2                   0               17
## 87               3               2                   0                3
## 88               3               2                   0                3
## 89               5               1                   1                5
## 90               3               2                   0                3
## 91              15               2                   0               15
## 92              12               2                   1               12
## 93              15               2                   0               15
## 94              20               1                   0               20
## 95              12               2                   0               12
## 96               1               1                   0                1
## 97              20               2                   0               20
## 98              20               2                   0               20
## 99               4               2                   0                4
## 100              5               2                   0                5
## 101              7               1                   1                7
## 102             20               1                   0               20
## 103              4               2                   0                4
## 104              3               2                   0                3
## 105             18               2                   0               18
## 106             14               2                   0               14
## 107             21               2                   0               21
## 108             17               1                   1               17
## 109             20               2                   0               20
## 110             14               1                   0               14
## 111             14               2                   1               14
## 112             12               1                   1               12
## 113              5               1                   1                5
## 114             19               2                   1               19
## 115             12               2                   1               12
## 116             19               2                   0               19
## 117              3               2                   0                3
## 118              3               2                   0                3
## 119             15               2                   0               15
## 120              6               2                   0                6
## 121              5               2                   0                5
## 122             21               2                   0               21
## 123              3               2                   0                3
## 124              3               2                   0                3
## 125              5               2                   0                5
## 126              3               2                   0                3
## 127             21               2                   1               21
## 128             21               2                   0               21
## 129              3               2                   0                3
## 130             10               2                   0               10
## 131             12               1                   0               12
## 132             17               2                   0               17
## 133             12               2                   1               12
## 134             21               2                   0               21
## 135             20               1                   0               20
## 136              4               2                   0                4
## 137             16               1                   1               16
## 138             17               2                   0               17
## 139             16               1                   1               16
## 140             19               1                   1               19
## 141              8               2                   0                8
## 142              3               2                   0                3
## 143             20               2                   0               20
## 144              5               2                   0                5
## 145             13               2                   0               13
## 146              5               1                   0                5
## 147             12               1                   1               12
## 148              3               2                   0                3
## 149             21               2                   0               21
## 150              5               2                   0                5
## 151             10               1                   1               10
## 152              6               2                   0                6
## 153              3               2                   1                3
## 154             16               1                   1               16
## 155             21               1                   1               21
## 156             12               2                   0               12
## 157             20               2                   0               20
## 158              3               2                   0                3
## 159              3               2                   0                3
## 160              5               2                   1                5
## 161              5               2                   0                5
## 162             21               2                   0               21
## 163             12               2                   1               12
## 164             15               1                   1               15
## 165             12               2                   0               12
## 166              7               1                   1                7
## 167              5               2                   0                5
## 168             21               2                   0               21
## 169             20               2                   0               20
## 170             15               1                   0               15
## 171              6               2                   0                6
## 172              3               2                   0                3
## 173              5               2                   1                5
## 174              6               2                   0                6
## 175             10               2                   0               10
## 176             20               2                   0               20
## 177             16               2                   0               16
## 178              1               2                   1                1
## 179             21               2                   0               21
## 180              6               2                   0                6
## 181              6               2                   0                6
## 182              3               2                   0                3
## 183              3               2                   0                3
## 184              6               2                   0                6
## 185              6               2                   0                6
## 186             12               2                   0               12
## 187             20               2                   0               20
## 188              5               2                   0                5
## 189             13               1                   1               13
## 190             21               2                   0               21
## 191             15               2                   1               15
## 192              3               2                   0                3
## 193             20               2                   0               20
## 194              1               1                   1                1
## 195             20               2                   0               20
## 196              8               2                   0                8
## 197             21               2                   0               21
## 198             20               2                   0               20
## 199             12               1                   1               12
## 200             20               2                   0               20
## 201              6               2                   0                6
## 202             14               1                   1               14
## 203             16               1                   0               16
## 204              3               2                   0                3
## 205             20               2                   0               20
## 206             21               2                   0               21
## 207              5               1                   0                5
## 208             20               2                   0               20
## 209             10               2                   0               10
## 210              3               2                   0                3
## 211             13               1                   0               13
## 212             12               1                   1               12
## 213              8               1                   1                8
## 214             17               2                   0               17
## 215             18               1                   0               18
## 216              2               1                   1                2
## 217             19               2                   1               19
## 218             10               2                   0               10
## 219             10               2                   0               10
## 220             10               2                   0               10
## 221             21               2                   0               21
## 222             20               2                   0               20
## 223              6               2                   0                6
## 224              3               2                   0                3
## 225             20               1                   1               20
## 226             18               2                   0               18
## 227             18               2                   0               18
## 228             18               2                   0               18
## 229             18               2                   0               18
## 230             18               2                   0               18
## 231             18               2                   0               18
## 232             21               2                   0               21
## 233              7               2                   0                7
## 234              3               2                   0                3
## 235             10               2                   1               10
## 236             14               2                   0               14
## 237             21               2                   0               21
## 238              6               2                   0                6
## 239              3               2                   0                3
## 240             21               2                   0               21
## 241              7               2                   0                7
## 242             20               2                   0               20
## 243             21               2                   0               21
## 244             21               2                   0               21
## 245              4               2                   0                4
## 246             16               1                   1               16
## 247              7               1                   1                7
## 248             10               2                   0               10
## 249             18               1                   1               18
## 250             18               2                   0               18
## 251             15               1                   1               15
## 252             21               2                   0               21
## 253              7               2                   0                7
## 254              2               1                   1                2
## 255             21               2                   0               21
## 256             16               2                   0               16
## 257             14               1                   1               14
## 258             21               2                   0               21
## 259              3               2                   0                3
## 260              5               2                   0                5
## 261             21               2                   0               21
## 262              6               2                   0                6
## 263              1               2                   0                1
## 264              4               2                   0                4
## 265             15               1                   0               15
## 266             20               2                   0               20
## 267             12               2                   0               12
## 268              7               1                   0                7
## 269              3               2                   0                3
## 270              4               2                   0                4
## 271             21               2                   0               21
## 272             21               1                   0               21
## 273              4               2                   0                4
## 274             21               2                   0               21
## 275             17               1                   1               17
## 276             16               2                   0               16
## 277              6               2                   0                6
## 278              5               2                   0                5
## 279              5               2                   0                5
## 280             12               2                   1               12
## 281             12               2                   1               12
## 282              3               2                   0                3
## 283             20               1                   1               20
## 284             20               2                   0               20
## 285              4               2                   1                4
## 286             15               1                   1               15
## 287              3               2                   0                3
## 288             21               2                   0               21
## 289             16               2                   0               16
## 290              7               2                   0                7
## 291              7               2                   1                7
## 292             21               1                   1               21
## 293             21               2                   0               21
## 294              7               2                   1                7
## 295             12               2                   0               12
## 296             12               1                   0               12
## 297              5               2                   0                5
## 298              3               2                   0                3
## 299             20               2                   0               20
## 300             10               2                   0               10
## 301             19               1                   0               19
## 302              3               2                   0                3
## 303             15               2                   0               15
## 304              2               2                   1                2
## 305             16               2                   1               16
## 306              7               2                   0                7
## 307              7               2                   0                7
## 308             15               2                   0               15
## 309             21               2                   0               21
## 310             20               1                   1               20
## 311              3               2                   0                3
## 312              3               2                   0                3
## 313             20               2                   0               20
## 314              7               2                   0                7
## 315             21               2                   0               21
## 316             21               2                   0               21
## 317              3               2                   0                3
## 318              7               2                   0                7
## 319             12               2                   0               12
## 320              5               2                   0                5
## 321             13               1                   1               13
## 322              5               2                   0                5
## 323             20               2                   0               20
## 324             15               2                   0               15
## 325             10               2                   0               10
## 326             12               2                   0               12
## 327              5               1                   0                5
## 328             21               2                   0               21
## 329              3               2                   0                3
## 330             20               1                   1               20
## 331              4               2                   0                4
## 332              3               2                   0                3
## 333              3               1                   1                3
## 334             14               1                   0               14
## 335             21               2                   0               21
## 336             17               1                   0               17
## 337              4               2                   0                4
## 338              5               2                   0                5
## 339             17               2                   1               17
## 340             10               2                   0               10
## 341             20               2                   0               20
## 342             16               1                   1               16
## 343              6               1                   1                6
## 344             19               2                   0               19
## 345             17               2                   1               17
## 346             20               2                   0               20
## 347             21               2                   0               21
## 348              5               1                   0                5
## 349              6               2                   0                6
## 350             19               2                   1               19
## 351             19               2                   0               19
## 352              3               2                   0                3
## 353              3               2                   0                3
## 354             21               2                   0               21
## 355              3               2                   0                3
## 356              6               2                   0                6
## 357             12               1                   1               12
## 358             18               2                   0               18
## 359              4               1                   0                4
## 360              3               2                   0                3
## 361              3               1                   0                3
## 362             17               2                   0               17
## 363              4               2                   0                4
## 364              4               2                   0                4
## 365             12               2                   0               12
## 366             10               2                   0               10
## 367              3               2                   0                3
## 368              4               2                   0                4
## 369             12               2                   0               12
## 370              3               1                   1                3
## 371             17               2                   0               17
## 372             17               2                   0               17
## 373              7               2                   0                7
## 374              7               1                   1                7
## 375             10               2                   0               10
## 376             10               2                   0               10
## 377             21               1                   0               21
## 378             21               1                   1               21
## 379              2               1                   1                2
## 380              4               2                   0                4
## 381              1               2                   1                1
## 382              5               2                   1                5
## 383             20               2                   0               20
## 384             21               2                   0               21
## 385             12               2                   0               12
## 386              5               2                   0                5
## 387              7               2                   0                7
## 388              3               2                   0                3
## 389             20               2                   0               20
## 390             10               1                   1               10
## 391              5               2                   0                5
## 392             18               2                   0               18
## 393             20               2                   1               20
## 394             20               1                   0               20
## 395             14               2                   0               14
## 396              3               1                   1                3
## 397             20               1                   0               20
## 398              8               1                   1                8
## 399              4               2                   1                4
## 400              1               2                   0                1
## 401             10               1                   0               10
## 402              4               1                   1                4
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##     PROBABILITY_INCORRECT
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