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自動預測保險理賠:用具體案例講解機器學習之特征預處理

首發地址:https://yq.aliyun.com/articles/65158


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以下為譯文:


機器學習:特征預處理

Kaggle

                      保險理賠是多麼嚴重

Allstate1600

Allstate

可以在這裏查看數據,並輕鬆地在Excel中打開這些數據集,然後查看這些數據集中的變量/特征。數據集中有116個類別變量和14個連續變量,現在開始分析它

# import required libraries
# pandas for reading data and manipulation
# scikit learn to one hot encoder and label encoder
# sns and matplotlib to visualize
import pandas as pd
import seaborn as sns
import matplotlib.pyplot as plt
from sklearn.feature_extraction import DictVectorizer
import operator

Python 2.7.11你已經安裝這些模塊,你可以簡單地做下列操作

pip install <module name>

Example:
pip install pandas

pandas


查看數據集


TRAIN DATA
**************************************
   id cat1 cat2 cat3 cat4 cat5 cat6 cat7 cat8 cat9   ...        cont6  \
0   1    A    B    A    B    A    A    A    A    B   ...     0.718367   
1   2    A    B    A    A    A    A    A    A    B   ...     0.438917   
2   5    A    B    A    A    B    A    A    A    B   ...     0.289648   
3  10    B    B    A    B    A    A    A    A    B   ...     0.440945   
4  11    A    B    A    B    A    A    A    A    B   ...     0.178193   

      cont7    cont8    cont9   cont10    cont11    cont12    cont13  \
0  0.335060  0.30260  0.67135  0.83510  0.569745  0.594646  0.822493   
1  0.436585  0.60087  0.35127  0.43919  0.338312  0.366307  0.611431   
2  0.315545  0.27320  0.26076  0.32446  0.381398  0.373424  0.195709   
3  0.391128  0.31796  0.32128  0.44467  0.327915  0.321570  0.605077   
4  0.247408  0.24564  0.22089  0.21230  0.204687  0.202213  0.246011   

     cont14     loss  
0  0.714843  2213.18  
1  0.304496  1283.60  
2  0.774425  3005.09  
3  0.602642   939.85  
4  0.432606  2763.85  

[5 rows x 132 columns]
**************************************
TEST DATA
**************************************
   id cat1 cat2 cat3 cat4 cat5 cat6 cat7 cat8 cat9    ...        cont5  \
0   4    A    B    A    A    A    A    A    A    B    ...     0.281143   
1   6    A    B    A    B    A    A    A    A    B    ...     0.836443   
2   9    A    B    A    B    B    A    B    A    B    ...     0.718531   
3  12    A    A    A    A    B    A    A    A    A    ...     0.397069   
4  15    B    A    A    A    A    B    A    A    A    ...     0.302678   

      cont6     cont7    cont8    cont9   cont10    cont11    cont12  \
0  0.466591  0.317681  0.61229  0.34365  0.38016  0.377724  0.369858   
1  0.482425  0.443760  0.71330  0.51890  0.60401  0.689039  0.675759   
2  0.212308  0.325779  0.29758  0.34365  0.30529  0.245410  0.241676   
3  0.369930  0.342355  0.40028  0.33237  0.31480  0.348867  0.341872   
4  0.398862  0.391833  0.23688  0.43731  0.50556  0.359572  0.352251   

     cont13    cont14  
0  0.704052  0.392562  
1  0.453468  0.208045  
2  0.258586  0.297232  
3  0.592264  0.555955  
4  0.301535  0.825823  

[5 rows x 131 columns]
**************************************
TRAIN DATA
**************************************
   id cat1 cat2 cat3 cat4 cat5 cat6 cat7 cat8 cat9 cat10 cat11 cat12 cat13  \
0   1    A    B    A    B    A    A    A    A    B     A     B     A     A   
1   2    A    B    A    A    A    A    A    A    B     B     A     A     A   
2   5    A    B    A    A    B    A    A    A    B     B     B     B     B   
3  10    B    B    A    B    A    A    A    A    B     A     A     A     A   
4  11    A    B    A    B    A    A    A    A    B     B     A     B     A   

  cat14 cat15 cat16 cat17 cat18 cat19 cat20 cat21 cat22 cat23 cat24 cat25  \
0     A     A     A     A     A     A     A     A     A     B     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     A     A     A     A     A   
3     A     A     A     A     A     A     A     A     A     B     A     A   
4     A     A     A     A     A     A     A     A     A     B     A     A   

  cat26 cat27 cat28 cat29 cat30 cat31 cat32 cat33 cat34 cat35 cat36 cat37  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     A     A     A     B     A   
3     A     A     A     A     A     A     A     A     A     A     A     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat38 cat39 cat40 cat41 cat42 cat43 cat44 cat45 cat46 cat47 cat48 cat49  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     A     A     A     A     A   
3     A     A     A     A     A     A     A     A     A     A     A     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat50 cat51 cat52 cat53 cat54 cat55 cat56 cat57 cat58 cat59 cat60 cat61  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     A     A     A     A     A   
3     A     A     A     A     A     A     A     A     A     A     A     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat62 cat63 cat64 cat65 cat66 cat67 cat68 cat69 cat70 cat71 cat72 cat73  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     A     A     A     A     A   
3     A     A     A     A     A     A     A     A     A     A     A     B   
4     A     A     A     A     A     A     A     A     A     A     B     A   

  cat74 cat75 cat76 cat77 cat78 cat79 cat80 cat81 cat82 cat83 cat84 cat85  \
0     A     B     A     D     B     B     D     D     B     D     C     B   
1     A     A     A     D     B     B     D     D     A     B     C     B   
2     A     A     A     D     B     B     B     D     B     D     C     B   
3     A     A     A     D     B     B     D     D     D     B     C     B   
4     A     A     A     D     B     D     B     D     B     B     C     B   

  cat86 cat87 cat88 cat89 cat90 cat91 cat92 cat93 cat94 cat95 cat96 cat97  \
0     D     B     A     A     A     A     A     D     B     C     E     A   
1     D     B     A     A     A     A     A     D     D     C     E     E   
2     B     B     A     A     A     A     A     D     D     C     E     E   
3     D     B     A     A     A     A     A     D     D     C     E     E   
4     B     C     A     A     A     B     H     D     B     D     E     E   

  cat98 cat99 cat100 cat101 cat102 cat103 cat104 cat105 cat106 cat107 cat108  \
0     C     T      B      G      A      A      I      E      G      J      G   
1     D     T      L      F      A      A      E      E      I      K      K   
2     A     D      L      O      A      B      E      F      H      F      A   
3     D     T      I      D      A      A      E      E      I      K      K   
4     A     P      F      J      A      A      D      E      K      G      B   

  cat109 cat110 cat111 cat112 cat113 cat114 cat115 cat116     cont1     cont2  \
0     BU     BC      C     AS      S      A      O     LB  0.726300  0.245921   
1     BI     CQ      A     AV     BM      A      O     DP  0.330514  0.737068   
2     AB     DK      A      C     AF      A      I     GK  0.261841  0.358319   
3     BI     CS      C      N     AE      A      O     DJ  0.321594  0.555782   
4      H      C      C      Y     BM      A      K     CK  0.273204  0.159990   

      cont3     cont4     cont5     cont6     cont7    cont8    cont9  \
0  0.187583  0.789639  0.310061  0.718367  0.335060  0.30260  0.67135   
1  0.592681  0.614134  0.885834  0.438917  0.436585  0.60087  0.35127   
2  0.484196  0.236924  0.397069  0.289648  0.315545  0.27320  0.26076   
3  0.527991  0.373816  0.422268  0.440945  0.391128  0.31796  0.32128   
4  0.527991  0.473202  0.704268  0.178193  0.247408  0.24564  0.22089   

    cont10    cont11    cont12    cont13    cont14     loss  
0  0.83510  0.569745  0.594646  0.822493  0.714843  2213.18  
1  0.43919  0.338312  0.366307  0.611431  0.304496  1283.60  
2  0.32446  0.381398  0.373424  0.195709  0.774425  3005.09  
3  0.44467  0.327915  0.321570  0.605077  0.602642   939.85  
4  0.21230  0.204687  0.202213  0.246011  0.432606  2763.85  
**************************************
TEST DATA
**************************************
   id cat1 cat2 cat3 cat4 cat5 cat6 cat7 cat8 cat9 cat10 cat11 cat12 cat13  \
0   4    A    B    A    A    A    A    A    A    B     A     B     A     A   
1   6    A    B    A    B    A    A    A    A    B     A     A     A     A   
2   9    A    B    A    B    B    A    B    A    B     B     A     B     B   
3  12    A    A    A    A    B    A    A    A    A     A     A     A     A   
4  15    B    A    A    A    A    B    A    A    A     A     A     A     A   

  cat14 cat15 cat16 cat17 cat18 cat19 cat20 cat21 cat22 cat23 cat24 cat25  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     B     B     A   
2     B     A     A     A     A     A     A     A     A     B     A     A   
3     A     A     A     A     A     A     A     A     A     A     A     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat26 cat27 cat28 cat29 cat30 cat31 cat32 cat33 cat34 cat35 cat36 cat37  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     A     A     A     B     A   
3     A     A     A     A     A     A     A     A     A     A     B     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat38 cat39 cat40 cat41 cat42 cat43 cat44 cat45 cat46 cat47 cat48 cat49  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     B     B     A     A     A     A     A     A     A     A     A     A   
3     B     A     A     B     A     A     A     A     A     A     A     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat50 cat51 cat52 cat53 cat54 cat55 cat56 cat57 cat58 cat59 cat60 cat61  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     A     A   
2     A     A     A     A     A     A     A     B     A     A     A     A   
3     A     A     A     A     A     A     A     A     A     A     A     A   
4     B     A     A     A     A     A     A     A     A     A     A     A   

  cat62 cat63 cat64 cat65 cat66 cat67 cat68 cat69 cat70 cat71 cat72 cat73  \
0     A     A     A     A     A     A     A     A     A     A     A     A   
1     A     A     A     A     A     A     A     A     A     A     B     A   
2     A     A     A     A     A     A     A     A     A     A     A     A   
3     A     A     A     A     A     A     A     A     A     A     B     A   
4     A     A     A     A     A     A     A     A     A     A     A     A   

  cat74 cat75 cat76 cat77 cat78 cat79 cat80 cat81 cat82 cat83 cat84 cat85  \
0     A     A     A     D     B     B     D     D     B     B     C     B   
1     A     B     A     D     B     B     D     D     B     B     C     B   
2     A     A     B     D     B     B     B     B     B     D     C     B   
3     A     A     A     D     B     D     B     D     B     B     A     B   
4     A     A     A     D     B     B     D     D     B     B     C     B   

  cat86 cat87 cat88 cat89 cat90 cat91 cat92 cat93 cat94 cat95 cat96 cat97  \
0     D     B     A     A     A     A     A     D     C     C     E     C   
1     B     B     A     A     A     A     A     D     D     D     E     A   
2     B     B     A     B     A     A     A     D     D     C     E     E   
3     D     D     A     A     A     G     H     D     D     C     E     E   
4     B     B     A     A     A     A     A     D     B     D     E     A   

  cat98 cat99 cat100 cat101 cat102 cat103 cat104 cat105 cat106 cat107 cat108  \
0     D     T      H      G      A      A      G      E      I      L      K   
1     A     P      B      D      A      A      G      G      G      F      B   
2     A     D      G      Q      A      D      D      E      J      G      A   
3     D     T      G      A      A      D      E      E      I      K      K   
4     A     P      A      A      A      A      F      E      G      E      B   

  cat109 cat110 cat111 cat112 cat113 cat114 cat115 cat116     cont1     cont2  \
0     BI     BC      A      J     AX      A      Q     HG  0.321594  0.299102   
1     BI     CO      E      G      X      A      L     HK  0.634734  0.620805   
2     BI     CS      C      U     AE      A      K     CK  0.290813  0.737068   
3     BI     CR      A     AY     AJ      A      P     DJ  0.268622  0.681761   
4     AB     EG      A      E      I      C      J     HA  0.553846  0.299102   

      cont3     cont4     cont5     cont6     cont7    cont8    cont9  \
0  0.246911  0.402922  0.281143  0.466591  0.317681  0.61229  0.34365   
1  0.654310  0.946616  0.836443  0.482425  0.443760  0.71330  0.51890   
2  0.711159  0.412789  0.718531  0.212308  0.325779  0.29758  0.34365   
3  0.592681  0.354893  0.397069  0.369930  0.342355  0.40028  0.33237   
4  0.263570  0.696873  0.302678  0.398862  0.391833  0.23688  0.43731   

    cont10    cont11    cont12    cont13    cont14  
0  0.38016  0.377724  0.369858  0.704052  0.392562  
1  0.60401  0.689039  0.675759  0.453468  0.208045  
2  0.30529  0.245410  0.241676  0.258586  0.297232  
3  0.31480  0.348867  0.341872  0.592264  0.555955  
4  0.50556  0.359572  0.352251  0.301535  0.825823

Python


5

print 'columns in train set : ', train.columns
print 'columns in test set : ', test.columns

ID

# remove ID column. No use.
train.drop('id',axis=1,inplace=True)
test.drop('id',axis=1,inplace=True)
loss = train.drop('loss', axis = 1, inplace = True)

查看連續變量和其基本統計分析

# high level statistics. mean media mode count and quartiles
# note - this will work only for the continous variables
# not for the categorical variables
print train.describe()
print test.describe()
## train

               cont1          cont2          cont3          cont4  \
count  188318.000000  188318.000000  188318.000000  188318.000000   
mean        0.493861       0.507188       0.498918       0.491812   
std         0.187640       0.207202       0.202105       0.211292   
min         0.000016       0.001149       0.002634       0.176921   
25%         0.346090       0.358319       0.336963       0.327354   
50%         0.475784       0.555782       0.527991       0.452887   
75%         0.623912       0.681761       0.634224       0.652072   
max         0.984975       0.862654       0.944251       0.954297   

               cont5          cont6          cont7          cont8  \
count  188318.000000  188318.000000  188318.000000  188318.000000   
mean        0.487428       0.490945       0.484970       0.486437   
std         0.209027       0.205273       0.178450       0.199370   
min         0.281143       0.012683       0.069503       0.236880   
25%         0.281143       0.336105       0.350175       0.312800   
50%         0.422268       0.440945       0.438285       0.441060   
75%         0.643315       0.655021       0.591045       0.623580   
max         0.983674       0.997162       1.000000       0.980200   

               cont9         cont10         cont11         cont12  \
count  188318.000000  188318.000000  188318.000000  188318.000000   
mean        0.485506       0.498066       0.493511       0.493150   
std         0.181660       0.185877       0.209737       0.209427   
min         0.000080       0.000000       0.035321       0.036232   
25%         0.358970       0.364580       0.310961       0.311661   
50%         0.441450       0.461190       0.457203       0.462286   
75%         0.566820       0.614590       0.678924       0.675759   
max         0.995400       0.994980       0.998742       0.998484   

              cont13         cont14  
count  188318.000000  188318.000000  
mean        0.493138       0.495717  
std         0.212777       0.222488  
min         0.000228       0.179722  
25%         0.315758       0.294610  
50%         0.363547       0.407403  
75%         0.689974       0.724623  
max         0.988494       0.844848
在很多競爭中,會發現有一些特征是在訓練集中,但不在測試集中,反之亦然。

# at this point, it is wise to check whether there are any features that
# are there is one of the dataset but not in other
missingFeatures = False
inTrainNotTest = []
for feature in train.columns:
    if feature not in test.columns:
        missingFeatures = True
        inTrainNotTest.append(feature)

if len(inTrainNotTest)>0:
    print ', '. join(inTrainNotTest), ' features are present in training set but not in test set'

inTestNotTrain = []
for feature in test.columns:
    if feature not in train.columns:
        missingFeatures = True
        inTestNotTrain.append(feature)
if len(inTestNotTrain)>0:
    print ', '. join(inTestNotTrain), ' features are present in test set but not in training set'
在這種情況下,將看到訓練集和測試集之間存在不同的列。

現在區類別變量和連續變量,對於給定的數據集,有兩種方式去找到它們:

1.‘cat’

2.pandas

# find categorical variables
# in this problem, categorical variables are start with cat which is easy
# to identify
# in other problems it not might be like that
# we will see two ways to identify this in this problem
# we will also find the continous or numerical variables
## 1. by name
categorical_train = [var for var in train.columns if 'cat' in var]
categorical_test = [var for var in test.columns if 'cat' in var]

continous_train = [var for var in train.columns if 'cont' in var]
continous_test = [var for var in test.columns if 'cont' in var]

## 2. by type = object
categorical_train = train.dtypes[train.dtypes == "object"].index
categorical_test = test.dtypes[test.dtypes == "object"].index

continous_train = train.dtypes[train.dtypes != "object"].index
continous_test = test.dtypes[test.dtypes != "object"].index
連續變量之間的相關性

查看這些變量之間的相關性,這樣做的目的是為了除去高度相關的變量

# lets check for correlation between continous data
# correlation between numerical variables is something like this
# if we increase one variable, there is a siginficant almost increase/decrease
# in the other variable. it varies from -1 to 1

correlation_train = train[continous_train].corr()
correlation_test = train[continous_test].corr()

# for the purpose of this analysis, we will consider to variables to
# highly correlation if the correlation is more than 0.6
threshold = 0.6
for i in range(len(correlation_train)):
    for j in range(len(correlation_train)):
        if (i>j) and (correlation_train.iloc[i,j]>threshold):
            print ("%s and %s = %.2f" % (train.columns[i],train.columns[j],correlation_train.iloc[i,j]))

for i in range(len(correlation_test)):
    for j in range(len(correlation_test)):
        if (i>j) and (correlation_test.iloc[i,j]>threshold):
            print ("%s and %s = %.2f" % (test.columns[i],test.columns[j],correlation_test.iloc[i,j]))

# we can remove one of the two highly correlatied variables to improve performance
cat6 and cat1 = 0.76
cat7 and cat6 = 0.66
cat9 and cat1 = 0.93
cat9 and cat6 = 0.80
cat10 and cat1 = 0.81
cat10 and cat6 = 0.88
cat10 and cat9 = 0.79
cat11 and cat6 = 0.77
cat11 and cat7 = 0.75
cat11 and cat9 = 0.61
cat11 and cat10 = 0.70
cat12 and cat1 = 0.61
cat12 and cat6 = 0.79
cat12 and cat7 = 0.74
cat12 and cat9 = 0.63
cat12 and cat10 = 0.71
cat12 and cat11 = 0.99
cat13 and cat6 = 0.82
cat13 and cat9 = 0.64
cat13 and cat10 = 0.71
cat6 and cat1 = 0.76
cat7 and cat6 = 0.66
cat9 and cat1 = 0.93
cat9 and cat6 = 0.80
cat10 and cat1 = 0.81
cat10 and cat6 = 0.88
cat10 and cat9 = 0.79
cat11 and cat6 = 0.77
cat11 and cat7 = 0.75
cat11 and cat9 = 0.61
cat11 and cat10 = 0.70
cat12 and cat1 = 0.61
cat12 and cat6 = 0.79
cat12 and cat7 = 0.74
cat12 and cat9 = 0.63
cat12 and cat10 = 0.71
cat12 and cat11 = 0.99
cat13 and cat6 = 0.82
cat13 and cat9 = 0.64
cat13 and cat10 = 0.71
查看目前在類別變量處的標簽,即使沒有任何不同的列,一些標簽可能不會在這個或其它數據集中出現

# lets check for factors in the categorical variables
for feature in categorical_train:
    print feature, 'has ', len(train[feature].unique()), 'values. Unique values are :: ', train[feature].unique()

for feature in categorical_test:
    print feature, 'has ', len(test[feature].unique()), 'values. Unique values are :: ', test[feature].unique()

# lets take a look whether the unique values/factors are not present in each of the dataset
# for example cat1 in both the datasets has values only A & B. Sometimes
# it may happen that some new value is present in the test set which maybe ruin your model
featuresDone = []
for feature in categorical_train:
    if feature in categorical_test:        
        if set(train[feature].unique()) - set(test[feature].unique()) != set([]):
            print 'Train set has ', len(train[feature].unique()), 'values. Unique values are :: ', train[feature].unique(), '\n'
            print 'test set has ', len(test[feature].unique()), 'values. Unique values are :: ', test[feature].unique(), '\n'
            print 'Missing vaues are : ', set(train[feature].unique()) - set(test[feature].unique())
        featuresDone.append(feature)

for feature in categorical_test:
    if (feature in categorical_train) and (feature not in featuresDone):        
        if set(train[feature].unique()) - set(test[feature].unique()) != set([]):
            print 'Train set has ', len(train[feature].unique()), 'values. Unique values are :: ', train[feature].unique(), '\n'
            print 'test set has ', len(test[feature].unique()), 'values. Unique values are :: ', test[feature].unique(), '\n'
            print 'Missing vaues are : ', set(train[feature].unique()) - set(test[feature].unique())
        featuresDone.append(feature)
cat1 has  2 values. Unique values are ::  ['A' 'B']
cat2 has  2 values. Unique values are ::  ['B' 'A']
cat3 has  2 values. Unique values are ::  ['A' 'B']
cat4 has  2 values. Unique values are ::  ['B' 'A']
cat5 has  2 values. Unique values are ::  ['A' 'B']
cat6 has  2 values. Unique values are ::  ['A' 'B']
cat7 has  2 values. Unique values are ::  ['A' 'B']
cat8 has  2 values. Unique values are ::  ['A' 'B']
cat9 has  2 values. Unique values are ::  ['B' 'A']
cat10 has  2 values. Unique values are ::  ['A' 'B']
cat11 has  2 values. Unique values are ::  ['B' 'A']
cat12 has  2 values. Unique values are ::  ['A' 'B']
cat13 has  2 values. Unique values are ::  ['A' 'B']
cat14 has  2 values. Unique values are ::  ['A' 'B']
cat15 has  2 values. Unique values are ::  ['A' 'B']
cat16 has  2 values. Unique values are ::  ['A' 'B']
cat17 has  2 values. Unique values are ::  ['A' 'B']
cat18 has  2 values. Unique values are ::  ['A' 'B']
cat19 has  2 values. Unique values are ::  ['A' 'B']
cat20 has  2 values. Unique values are ::  ['A' 'B']
cat21 has  2 values. Unique values are ::  ['A' 'B']
cat22 has  2 values. Unique values are ::  ['A' 'B']
cat23 has  2 values. Unique values are ::  ['B' 'A']
cat24 has  2 values. Unique values are ::  ['A' 'B']
cat25 has  2 values. Unique values are ::  ['A' 'B']
cat26 has  2 values. Unique values are ::  ['A' 'B']
cat27 has  2 values. Unique values are ::  ['A' 'B']
cat28 has  2 values. Unique values are ::  ['A' 'B']
cat29 has  2 values. Unique values are ::  ['A' 'B']
cat30 has  2 values. Unique values are ::  ['A' 'B']
cat31 has  2 values. Unique values are ::  ['A' 'B']
cat32 has  2 values. Unique values are ::  ['A' 'B']
cat33 has  2 values. Unique values are ::  ['A' 'B']
cat34 has  2 values. Unique values are ::  ['A' 'B']
cat35 has  2 values. Unique values are ::  ['A' 'B']
cat36 has  2 values. Unique values are ::  ['A' 'B']
cat37 has  2 values. Unique values are ::  ['A' 'B']
cat38 has  2 values. Unique values are ::  ['A' 'B']
cat39 has  2 values. Unique values are ::  ['A' 'B']
cat40 has  2 values. Unique values are ::  ['A' 'B']
cat41 has  2 values. Unique values are ::  ['A' 'B']
cat42 has  2 values. Unique values are ::  ['A' 'B']
cat43 has  2 values. Unique values are ::  ['A' 'B']
cat44 has  2 values. Unique values are ::  ['A' 'B']
cat45 has  2 values. Unique values are ::  ['A' 'B']
cat46 has  2 values. Unique values are ::  ['A' 'B']
cat47 has  2 values. Unique values are ::  ['A' 'B']
cat48 has  2 values. Unique values are ::  ['A' 'B']
cat49 has  2 values. Unique values are ::  ['A' 'B']
cat50 has  2 values. Unique values are ::  ['A' 'B']
cat51 has  2 values. Unique values are ::  ['A' 'B']
cat52 has  2 values. Unique values are ::  ['A' 'B']
cat53 has  2 values. Unique values are ::  ['A' 'B']
cat54 has  2 values. Unique values are ::  ['A' 'B']
cat55 has  2 values. Unique values are ::  ['A' 'B']
cat56 has  2 values. Unique values are ::  ['A' 'B']
cat57 has  2 values. Unique values are ::  ['A' 'B']
cat58 has  2 values. Unique values are ::  ['A' 'B']
cat59 has  2 values. Unique values are ::  ['A' 'B']
cat60 has  2 values. Unique values are ::  ['A' 'B']
cat61 has  2 values. Unique values are ::  ['A' 'B']
cat62 has  2 values. Unique values are ::  ['A' 'B']
cat63 has  2 values. Unique values are ::  ['A' 'B']
cat64 has  2 values. Unique values are ::  ['A' 'B']
cat65 has  2 values. Unique values are ::  ['A' 'B']
cat66 has  2 values. Unique values are ::  ['A' 'B']
cat67 has  2 values. Unique values are ::  ['A' 'B']
cat68 has  2 values. Unique values are ::  ['A' 'B']
cat69 has  2 values. Unique values are ::  ['A' 'B']
cat70 has  2 values. Unique values are ::  ['A' 'B']
cat71 has  2 values. Unique values are ::  ['A' 'B']
cat72 has  2 values. Unique values are ::  ['A' 'B']
cat73 has  3 values. Unique values are ::  ['A' 'B' 'C']
cat74 has  3 values. Unique values are ::  ['A' 'B' 'C']
cat75 has  3 values. Unique values are ::  ['B' 'A' 'C']
cat76 has  3 values. Unique values are ::  ['A' 'C' 'B']
cat77 has  4 values. Unique values are ::  ['D' 'C' 'B' 'A']
cat78 has  4 values. Unique values are ::  ['B' 'A' 'C' 'D']
cat79 has  4 values. Unique values are ::  ['B' 'D' 'A' 'C']
cat80 has  4 values. Unique values are ::  ['D' 'B' 'A' 'C']
cat81 has  4 values. Unique values are ::  ['D' 'B' 'A' 'C']
cat82 has  4 values. Unique values are ::  ['B' 'A' 'D' 'C']
cat83 has  4 values. Unique values are ::  ['D' 'B' 'A' 'C']
cat84 has  4 values. Unique values are ::  ['C' 'A' 'D' 'B']
cat85 has  4 values. Unique values are ::  ['B' 'A' 'C' 'D']
cat86 has  4 values. Unique values are ::  ['D' 'B' 'C' 'A']
cat87 has  4 values. Unique values are ::  ['B' 'C' 'D' 'A']
cat88 has  4 values. Unique values are ::  ['A' 'D' 'E' 'B']
cat89 has  8 values. Unique values are ::  ['A' 'B' 'C' 'E' 'D' 'H' 'I' 'G']
cat90 has  7 values. Unique values are ::  ['A' 'B' 'C' 'D' 'F' 'E' 'G']
cat91 has  8 values. Unique values are ::  ['A' 'B' 'G' 'C' 'D' 'E' 'F' 'H']
cat92 has  7 values. Unique values are ::  ['A' 'H' 'B' 'C' 'D' 'I' 'F']
cat93 has  5 values. Unique values are ::  ['D' 'C' 'A' 'B' 'E']
cat94 has  7 values. Unique values are ::  ['B' 'D' 'C' 'A' 'F' 'E' 'G']
cat95 has  5 values. Unique values are ::  ['C' 'D' 'E' 'A' 'B']
cat96 has  8 values. Unique values are ::  ['E' 'D' 'G' 'B' 'F' 'A' 'I' 'C']
cat97 has  7 values. Unique values are ::  ['A' 'E' 'C' 'G' 'D' 'F' 'B']
cat98 has  5 values. Unique values are ::  ['C' 'D' 'A' 'E' 'B']
cat99 has  16 values. Unique values are ::  ['T' 'D' 'P' 'S' 'R' 'K' 'E' 'F' 'N' 'J' 'C' 'M' 'H' 'G' 'I' 'O']
cat100 has  15 values. Unique values are ::  ['B' 'L' 'I' 'F' 'J' 'H' 'C' 'M' 'A' 'G' 'O' 'N' 'K' 'D' 'E']
cat101 has  19 values. Unique values are ::  ['G' 'F' 'O' 'D' 'J' 'A' 'C' 'Q' 'M' 'I' 'L' 'R' 'S' 'E' 'N' 'H' 'B' 'U'
 'K']
cat102 has  9 values. Unique values are ::  ['A' 'C' 'B' 'D' 'G' 'E' 'F' 'H' 'J']
cat103 has  13 values. Unique values are ::  ['A' 'B' 'C' 'F' 'E' 'D' 'G' 'H' 'I' 'L' 'K' 'J' 'N']
cat104 has  17 values. Unique values are ::  ['I' 'E' 'D' 'K' 'H' 'F' 'G' 'P' 'C' 'J' 'L' 'M' 'N' 'O' 'B' 'A' 'Q']
cat105 has  20 values. Unique values are ::  ['E' 'F' 'H' 'G' 'I' 'D' 'J' 'K' 'M' 'C' 'A' 'L' 'N' 'P' 'T' 'Q' 'R' 'O'
 'B' 'S']
cat106 has  17 values. Unique values are ::  ['G' 'I' 'H' 'K' 'F' 'J' 'E' 'L' 'M' 'D' 'A' 'C' 'N' 'O' 'R' 'B' 'P']
cat107 has  20 values. Unique values are ::  ['J' 'K' 'F' 'G' 'I' 'M' 'H' 'L' 'E' 'D' 'O' 'C' 'N' 'A' 'Q' 'P' 'U' 'B'
 'R' 'S']
cat108 has  11 values. Unique values are ::  ['G' 'K' 'A' 'B' 'D' 'I' 'F' 'H' 'E' 'C' 'J']
cat109 has  84 values. Unique values are ::  ['BU' 'BI' 'AB' 'H' 'K' 'CD' 'BQ' 'M' 'G' 'BL' 'L' 'AL' 'N' 'CL' 'R' 'F'
 'BJ' 'AR' 'AT' 'S' 'AS' 'BO' 'X' 'D' 'BM' 'I' 'BH' 'CI' 'CF' 'C' 'AM' 'U'
 'BE' 'BR' 'CJ' 'AE' 'A' 'Q' 'AW' 'T' 'AJ' 'AH' 'BA' 'BV' 'CC' 'CA' 'BG'
 'BB' 'O' 'BD' 'AV' 'AX' 'AQ' 'AA' 'AI' 'AU' 'BX' 'AP' 'CK' 'Y' 'CH' 'BS'
 'AN' 'AO' 'BC' 'CE' 'E' 'BY' 'CB' 'BT' 'P' 'BK' 'AF' 'B' 'BF' 'CG' 'V'
 'ZZ' 'AY' 'BP' 'BN' 'J' 'AG' 'AK']
cat110 has  131 values. Unique values are ::  ['BC' 'CQ' 'DK' 'CS' 'C' 'EB' 'DW' 'AM' 'AI' 'EG' 'CL' 'BS' 'BT' 'CO' 'CM'
 'EL' 'AY' 'W' 'EE' 'AC' 'DX' 'CI' 'DT' 'A' 'V' 'DM' 'EF' 'DL' 'DA' 'BP'
 'DH' 'CF' 'N' 'T' 'CR' 'X' 'CH' 'EM' 'DC' 'AX' 'BG' 'CJ' 'EA' 'AD' 'U'
 'AK' 'BX' 'AW' 'G' 'BA' 'L' 'AP' 'CG' 'R' 'DU' 'I' 'AR' 'O' 'DF' 'AT' 'E'
 'AB' 'AU' 'DI' 'CN' 'CP' 'AL' 'ED' 'DJ' 'AO' 'CY' 'BE' 'BJ' 'D' 'AA' 'CK'
 'CV' 'BK' 'BB' 'AE' 'BO' 'P' 'DO' 'CT' 'AJ' 'BR' 'Y' 'DR' 'BQ' 'BL' 'B'
 'BW' 'H' 'DP' 'DG' 'AG' 'BN' 'J' 'CW' 'DV' 'Q' 'DY' 'EI' 'AV' 'DQ' 'BU'
 'K' 'BF' 'BD' 'DS' 'DE' 'BM' 'BY' 'CD' 'BI' 'DD' 'DB' 'AH' 'CC' 'DN' 'CU'
 'BV' 'CX' 'AN' 'EK' 'EJ' 'AS' 'AF' 'CB' 'EH' 'S']
cat111 has  16 values. Unique values are ::  ['C' 'A' 'G' 'E' 'I' 'M' 'W' 'S' 'K' 'O' 'Q' 'U' 'F' 'B' 'Y' 'D']
cat112 has  51 values. Unique values are ::  ['AS' 'AV' 'C' 'N' 'Y' 'J' 'AH' 'K' 'U' 'E' 'AK' 'AI' 'AE' 'A' 'L' 'F' 'AP'
 'AD' 'AF' 'AL' 'AN' 'S' 'AW' 'I' 'AR' 'AX' 'AU' 'AQ' 'O' 'AO' 'R' 'H' 'G'
 'AC' 'AT' 'AG' 'X' 'AA' 'Q' 'AY' 'D' 'BA' 'P' 'B' 'AM' 'M' 'T' 'W' 'V'
 'AB' 'AJ']
cat113 has  61 values. Unique values are ::  ['S' 'BM' 'AF' 'AE' 'Y' 'AX' 'H' 'K' 'L' 'A' 'J' 'AK' 'N' 'M' 'AJ' 'AT' 'F'
 'BC' 'AY' 'AD' 'BG' 'BO' 'AS' 'BD' 'AN' 'I' 'BF' 'BK' 'AW' 'AG' 'BJ' 'AO'
 'Q' 'AM' 'X' 'AU' 'BN' 'BH' 'AI' 'C' 'AV' 'AQ' 'AH' 'G' 'E' 'BA' 'AL' 'BI'
 'U' 'AB' 'V' 'O' 'BB' 'AP' 'B' 'BL' 'BE' 'T' 'P' 'AC' 'AR']
cat114 has  19 values. Unique values are ::  ['A' 'J' 'E' 'C' 'F' 'L' 'N' 'I' 'R' 'U' 'O' 'B' 'Q' 'V' 'D' 'X' 'W' 'S'
 'G']
cat115 has  23 values. Unique values are ::  ['O' 'I' 'K' 'P' 'Q' 'L' 'J' 'R' 'N' 'M' 'H' 'G' 'F' 'A' 'S' 'W' 'T' 'C'
 'E' 'D' 'B' 'X' 'U']
cat116 has  326 values. Unique values are ::  ['LB' 'DP' 'GK' 'DJ' 'CK' 'LO' 'IE' 'LY' 'GS' 'HK' 'DC' 'MP' 'DS' 'LE' 'HQ'
 'HJ' 'GC' 'BY' 'HX' 'HL' 'HG' 'MD' 'LF' 'LM' 'CB' 'CS' 'KQ' 'HN' 'LQ' 'KW'
 'IT' 'LN' 'CW' 'LC' 'GX' 'GE' 'CP' 'HB' 'GI' 'GM' 'CR' 'JR' 'HA' 'EE' 'BA'
 'LJ' 'IH' 'HV' 'GU' 'HM' 'CY' 'IC' 'KD' 'KI' 'DN' 'MG' 'LL' 'KN' 'LH' 'DF'
 'EY' 'LW' 'KA' 'EK' 'DK' 'EO' 'CG' 'K' 'HC' 'DI' 'FB' 'IG' 'FR' 'CI' 'EC'
 'KR' 'HI' 'IU' 'MC' 'BP' 'JW' 'FH' 'IF' 'E' 'DA' 'KL' 'LX' 'IL' 'KB' 'IQ'
 'EL' 'JX' 'H' 'GN' 'CD' 'DH' 'AC' 'FD' 'ME' 'KC' 'FT' 'CT' 'DM' 'GL' 'ES'
 'JL' 'BX' 'II' 'HP' 'ED' 'CU' 'EN' 'FG' 'MJ' 'KE' 'CF' 'EB' 'DD' 'EI' 'FX'
 'EA' 'BO' 'KP' 'EP' 'FC' 'GB' 'JU' 'LV' 'CO' 'EF' 'BD' 'HW' 'LI' 'GT' 'HH'
 'KJ' 'CN' 'B' 'FE' 'GA' 'FW' 'IY' 'MO' 'JG' 'ID' 'DX' 'FA' 'LA' 'HR' 'GJ'
 'GO' 'KT' 'GW' 'U' 'MI' 'GP' 'F' 'DU' 'KM' 'BV' 'DT' 'IM' 'LD' 'GR' 'HD'
 'BS' 'AJ' 'KX' 'LR' 'ML' 'KU' 'CE' 'IA' 'DE' 'R' 'AO' 'MU' 'AK' 'CX' 'HY'
 'EH' 'MA' 'GH' 'LK' 'DL' 'AX' 'IN' 'BI' 'JM' 'JF' 'KK' 'DR' 'LT' 'GF' 'AW'
 'KY' 'CA' 'MK' 'DV' 'EG' 'DW' 'MN' 'V' 'CM' 'GY' 'AF' 'JC' 'MR' 'JE' 'IP'
 'KV' 'KH' 'BW' 'MQ' 'D' 'HF' 'CV' 'BL' 'FL' 'GV' 'CQ' 'BM' 'JB' 'J' 'FU'
 'AG' 'EJ' 'CH' 'MW' 'X' 'DG' 'AV' 'EW' 'O' 'DO' 'BK' 'FS' 'T' 'CL' 'Y'
 'JQ' 'I' 'AL' 'JJ' 'HT' 'FF' 'JA' 'GD' 'FV' 'BQ' 'M' 'S' 'EU' 'P' 'FJ'
 'AR' 'LG' 'IR' 'GQ' 'MM' 'AY' 'MF' 'GG' 'KG' 'JD' 'L' 'KS' 'AH' 'JV' 'EV'
 'CC' 'AB' 'FK' 'JY' 'G' 'W' 'BC' 'AM' 'KF' 'LU' 'IK' 'BU' 'AT' 'JP' 'Q'
 'IJ' 'JO' 'JH' 'AS' 'JN' 'BF' 'AD' 'FP' 'MV' 'AA' 'CJ' 'DY' 'IB' 'AN' 'EQ'
 'JT' 'BG' 'AP' 'MB' 'JK' 'FI' 'MS' 'HE' 'C' 'IV' 'IO' 'BT' 'DQ' 'FM' 'HO'
 'MH' 'MT' 'FO' 'JI' 'FQ' 'AU' 'FN' 'BB' 'HU' 'IX' 'AE']
cat1 has  2 values. Unique values are ::  ['A' 'B']
cat2 has  2 values. Unique values are ::  ['B' 'A']
cat3 has  2 values. Unique values are ::  ['A' 'B']
cat4 has  2 values. Unique values are ::  ['A' 'B']
cat5 has  2 values. Unique values are ::  ['A' 'B']
cat6 has  2 values. Unique values are ::  ['A' 'B']
cat7 has  2 values. Unique values are ::  ['A' 'B']
cat8 has  2 values. Unique values are ::  ['A' 'B']
cat9 has  2 values. Unique values are ::  ['B' 'A']
cat10 has  2 values. Unique values are ::  ['A' 'B']
cat11 has  2 values. Unique values are ::  ['B' 'A']
cat12 has  2 values. Unique values are ::  ['A' 'B']
cat13 has  2 values. Unique values are ::  ['A' 'B']
cat14 has  2 values. Unique values are ::  ['A' 'B']
cat15 has  2 values. Unique values are ::  ['A' 'B']
cat16 has  2 values. Unique values are ::  ['A' 'B']
cat17 has  2 values. Unique values are ::  ['A' 'B']
cat18 has  2 values. Unique values are ::  ['A' 'B']
cat19 has  2 values. Unique values are ::  ['A' 'B']
cat20 has  2 values. Unique values are ::  ['A' 'B']
cat21 has  2 values. Unique values are ::  ['A' 'B']
cat22 has  2 values. Unique values are ::  ['A' 'B']
cat23 has  2 values. Unique values are ::  ['A' 'B']
cat24 has  2 values. Unique values are ::  ['A' 'B']
cat25 has  2 values. Unique values are ::  ['A' 'B']
cat26 has  2 values. Unique values are ::  ['A' 'B']
cat27 has  2 values. Unique values are ::  ['A' 'B']
cat28 has  2 values. Unique values are ::  ['A' 'B']
cat29 has  2 values. Unique values are ::  ['A' 'B']
cat30 has  2 values. Unique values are ::  ['A' 'B']
cat31 has  2 values. Unique values are ::  ['A' 'B']
cat32 has  2 values. Unique values are ::  ['A' 'B']
cat33 has  2 values. Unique values are ::  ['A' 'B']
cat34 has  2 values. Unique values are ::  ['A' 'B']
cat35 has  2 values. Unique values are ::  ['A' 'B']
cat36 has  2 values. Unique values are ::  ['A' 'B']
cat37 has  2 values. Unique values are ::  ['A' 'B']
cat38 has  2 values. Unique values are ::  ['A' 'B']
cat39 has  2 values. Unique values are ::  ['A' 'B']
cat40 has  2 values. Unique values are ::  ['A' 'B']
cat41 has  2 values. Unique values are ::  ['A' 'B']
cat42 has  2 values. Unique values are ::  ['A' 'B']
cat43 has  2 values. Unique values are ::  ['A' 'B']
cat44 has  2 values. Unique values are ::  ['A' 'B']
cat45 has  2 values. Unique values are ::  ['A' 'B']
cat46 has  2 values. Unique values are ::  ['A' 'B']
cat47 has  2 values. Unique values are ::  ['A' 'B']
cat48 has  2 values. Unique values are ::  ['A' 'B']
cat49 has  2 values. Unique values are ::  ['A' 'B']
cat50 has  2 values. Unique values are ::  ['A' 'B']
cat51 has  2 values. Unique values are ::  ['A' 'B']
cat52 has  2 values. Unique values are ::  ['A' 'B']
cat53 has  2 values. Unique values are ::  ['A' 'B']
cat54 has  2 values. Unique values are ::  ['A' 'B']
cat55 has  2 values. Unique values are ::  ['A' 'B']
cat56 has  2 values. Unique values are ::  ['A' 'B']
cat57 has  2 values. Unique values are ::  ['A' 'B']
cat58 has  2 values. Unique values are ::  ['A' 'B']
cat59 has  2 values. Unique values are ::  ['A' 'B']
cat60 has  2 values. Unique values are ::  ['A' 'B']
cat61 has  2 values. Unique values are ::  ['A' 'B']
cat62 has  2 values. Unique values are ::  ['A' 'B']
cat63 has  2 values. Unique values are ::  ['A' 'B']
cat64 has  2 values. Unique values are ::  ['A' 'B']
cat65 has  2 values. Unique values are ::  ['A' 'B']
cat66 has  2 values. Unique values are ::  ['A' 'B']
cat67 has  2 values. Unique values are ::  ['A' 'B']
cat68 has  2 values. Unique values are ::  ['A' 'B']
cat69 has  2 values. Unique values are ::  ['A' 'B']
cat70 has  2 values. Unique values are ::  ['A' 'B']
cat71 has  2 values. Unique values are ::  ['A' 'B']
cat72 has  2 values. Unique values are ::  ['A' 'B']
cat73 has  3 values. Unique values are ::  ['A' 'B' 'C']
cat74 has  3 values. Unique values are ::  ['A' 'B' 'C']
cat75 has  3 values. Unique values are ::  ['A' 'B' 'C']
cat76 has  3 values. Unique values are ::  ['A' 'B' 'C']
cat77 has  4 values. Unique values are ::  ['D' 'C' 'B' 'A']
cat78 has  4 values. Unique values are ::  ['B' 'D' 'C' 'A']
cat79 has  4 values. Unique values are ::  ['B' 'D' 'A' 'C']
cat80 has  4 values. Unique values are ::  ['D' 'B' 'C' 'A']
cat81 has  4 values. Unique values are ::  ['D' 'B' 'C' 'A']
cat82 has  4 values. Unique values are ::  ['B' 'A' 'D' 'C']
cat83 has  4 values. Unique values are ::  ['B' 'D' 'A' 'C']
cat84 has  4 values. Unique values are ::  ['C' 'A' 'D' 'B']
cat85 has  4 values. Unique values are ::  ['B' 'D' 'C' 'A']
cat86 has  4 values. Unique values are ::  ['D' 'B' 'C' 'A']
cat87 has  4 values. Unique values are ::  ['B' 'D' 'C' 'A']
cat88 has  4 values. Unique values are ::  ['A' 'D' 'E' 'B']
cat89 has  8 values. Unique values are ::  ['A' 'B' 'D' 'C' 'F' 'H' 'E' 'G']
cat90 has  6 values. Unique values are ::  ['A' 'B' 'C' 'D' 'F' 'E']
cat91 has  8 values. Unique values are ::  ['A' 'G' 'B' 'C' 'E' 'D' 'F' 'H']
cat92 has  8 values. Unique values are ::  ['A' 'H' 'B' 'C' 'G' 'I' 'D' 'E']
cat93 has  5 values. Unique values are ::  ['D' 'E' 'C' 'B' 'A']
cat94 has  7 values. Unique values are ::  ['C' 'D' 'B' 'E' 'F' 'A' 'G']
cat95 has  5 values. Unique values are ::  ['C' 'D' 'E' 'A' 'B']
cat96 has  9 values. Unique values are ::  ['E' 'B' 'G' 'D' 'F' 'I' 'A' 'C' 'H']
cat97 has  7 values. Unique values are ::  ['C' 'A' 'E' 'G' 'D' 'F' 'B']
cat98 has  5 values. Unique values are ::  ['D' 'A' 'C' 'E' 'B']
cat99 has  17 values. Unique values are ::  ['T' 'P' 'D' 'H' 'R' 'F' 'K' 'S' 'N' 'C' 'E' 'J' 'I' 'G' 'M' 'U' 'O']
cat100 has  15 values. Unique values are ::  ['H' 'B' 'G' 'A' 'F' 'I' 'L' 'K' 'J' 'N' 'O' 'M' 'D' 'C' 'E']
cat101 has  17 values. Unique values are ::  ['G' 'D' 'Q' 'A' 'F' 'M' 'L' 'O' 'C' 'I' 'J' 'S' 'R' 'E' 'B' 'H' 'K']
cat102 has  7 values. Unique values are ::  ['A' 'C' 'B' 'E' 'D' 'G' 'F']
cat103 has  14 values. Unique values are ::  ['A' 'D' 'C' 'B' 'E' 'F' 'G' 'I' 'H' 'K' 'J' 'M' 'L' 'N']
cat104 has  17 values. Unique values are ::  ['G' 'D' 'E' 'F' 'H' 'K' 'I' 'O' 'L' 'C' 'J' 'M' 'N' 'P' 'B' 'A' 'Q']
cat105 has  18 values. Unique values are ::  ['E' 'G' 'F' 'H' 'I' 'D' 'J' 'A' 'L' 'C' 'K' 'N' 'M' 'P' 'O' 'T' 'B' 'Q']
cat106 has  18 values. Unique values are ::  ['I' 'G' 'J' 'D' 'F' 'K' 'H' 'E' 'L' 'M' 'A' 'O' 'C' 'N' 'R' 'B' 'Q' 'P']
cat107 has  20 values. Unique values are ::  ['L' 'F' 'G' 'K' 'E' 'D' 'C' 'M' 'H' 'I' 'J' 'A' 'O' 'S' 'P' 'N' 'Q' 'U'
 'R' 'B']
cat108 has  11 values. Unique values are ::  ['K' 'B' 'A' 'G' 'D' 'F' 'E' 'H' 'J' 'I' 'C']
cat109 has  74 values. Unique values are ::  ['BI' 'AB' 'K' 'G' 'BU' 'M' 'I' 'O' 'BO' 'CD' 'T' 'BQ' 'R' 'X' 'AR' 'E'
 'BL' 'CI' 'S' 'AL' 'BH' 'N' 'U' 'F' 'AS' 'AQ' 'AW' 'CC' 'AN' 'AJ' 'C' 'AT'
 'D' 'H' 'CA' 'A' 'AX' 'L' 'BD' 'V' 'BX' 'AH' 'CL' 'AM' 'BA' 'BR' 'AO' 'AE'
 'AY' 'BB' 'BJ' 'AP' 'BN' 'AI' 'Q' 'BS' 'CK' 'AU' 'CE' 'BC' 'BG' 'AD' 'Y'
 'BK' 'AA' 'CG' 'AV' 'P' 'AF' 'CB' 'CF' 'BE' 'CH' 'ZZ']
cat110 has  123 values. Unique values are ::  ['BC' 'CO' 'CS' 'CR' 'EG' 'CL' 'EL' 'BT' 'EB' 'CQ' 'BS' 'C' 'W' 'DX' 'CM'
 'A' 'EF' 'CI' 'DL' 'AI' 'BP' 'N' 'DJ' 'CT' 'E' 'DW' 'CH' 'V' 'AM' 'DK'
 'EA' 'BR' 'DR' 'D' 'EE' 'T' 'AP' 'I' 'AC' 'CY' 'DM' 'AL' 'CK' 'AD' 'AY'
 'CF' 'CD' 'BG' 'AK' 'DA' 'DC' 'DQ' 'BA' 'U' 'CX' 'BJ' 'AV' 'AR' 'K' 'CG'
 'DT' 'CN' 'O' 'BO' 'DU' 'CJ' 'AX' 'DH' 'BX' 'AH' 'AU' 'AB' 'BV' 'EM' 'L'
 'BH' 'DI' 'DB' 'DE' 'CV' 'DO' 'BQ' 'AW' 'AJ' 'J' 'CU' 'P' 'CP' 'DS' 'BL'
 'AO' 'AA' 'DF' 'DG' 'CC' 'X' 'BF' 'AE' 'BU' 'AT' 'BB' 'B' 'ED' 'Y' 'G'
 'BE' 'DD' 'DY' 'DP' 'R' 'CW' 'DN' 'AG' 'BW' 'BY' 'EK' 'CA' 'AS' 'EJ' 'BM'
 'Q' 'S' 'EN']
cat111 has  16 values. Unique values are ::  ['A' 'E' 'C' 'G' 'K' 'I' 'Q' 'U' 'M' 'O' 'S' 'F' 'L' 'W' 'Y' 'B']
cat112 has  51 values. Unique values are ::  ['J' 'G' 'U' 'AY' 'E' 'AN' 'AG' 'R' 'N' 'AV' 'AW' 'AS' 'AJ' 'AU' 'T' 'AH'
 'AK' 'AF' 'D' 'L' 'AP' 'AI' 'K' 'A' 'AM' 'AT' 'AO' 'O' 'F' 'AD' 'C' 'S'
 'AC' 'AA' 'X' 'Y' 'AE' 'AL' 'W' 'Q' 'I' 'B' 'M' 'AR' 'BA' 'AX' 'H' 'V'
 'AB' 'P' 'AQ']
cat113 has  60 values. Unique values are ::  ['AX' 'X' 'AE' 'AJ' 'I' 'BC' 'S' 'Y' 'L' 'A' 'AO' 'AN' 'N' 'BM' 'AK' 'Q'
 'BK' 'J' 'M' 'AV' 'H' 'AD' 'AS' 'AW' 'BN' 'K' 'AG' 'BJ' 'F' 'BG' 'AF' 'AU'
 'BO' 'AT' 'BH' 'BD' 'AI' 'AY' 'BF' 'AM' 'E' 'AH' 'C' 'BI' 'AB' 'BA' 'BB'
 'O' 'B' 'AQ' 'V' 'BL' 'G' 'AP' 'U' 'AA' 'R' 'AR' 'AL' 'P']
cat114 has  18 values. Unique values are ::  ['A' 'C' 'E' 'N' 'I' 'O' 'F' 'J' 'R' 'L' 'U' 'V' 'Q' 'B' 'W' 'G' 'D' 'S']
cat115 has  23 values. Unique values are ::  ['Q' 'L' 'K' 'P' 'J' 'I' 'H' 'O' 'M' 'N' 'R' 'G' 'S' 'A' 'F' 'T' 'U' 'X'
 'W' 'D' 'C' 'E' 'B']
cat116 has  311 values. Unique values are ::  ['HG' 'HK' 'CK' 'DJ' 'HA' 'HY' 'MD' 'KC' 'GC' 'DT' 'HX' 'GE' 'HV' 'HJ' 'DA'
 'HL' 'KB' 'JR' 'EP' 'DF' 'DP' 'LN' 'IE' 'GK' 'KW' 'CD' 'CR' 'CG' 'GS' 'LF'
 'IF' 'HQ' 'FB' 'LL' 'LQ' 'JE' 'GL' 'LM' 'LB' 'LO' 'DC' 'HB' 'GT' 'CS' 'GX'
 'BD' 'CI' 'IC' 'CW' 'EC' 'CH' 'KI' 'MG' 'JW' 'JU' 'HM' 'IT' 'IH' 'IG' 'LY'
 'MC' 'EL' 'FH' 'MO' 'KD' 'GU' 'MJ' 'KA' 'FD' 'HH' 'DK' 'AC' 'GI' 'LW' 'BY'
 'HN' 'CU' 'BU' 'BO' 'GM' 'KU' 'FR' 'EO' 'CN' 'EI' 'HC' 'LI' 'DS' 'EA' 'ME'
 'E' 'GA' 'CB' 'LV' 'CP' 'GN' 'KL' 'CX' 'DH' 'CA' 'BV' 'BX' 'JL' 'KJ' 'EF'
 'DD' 'AQ' 'FC' 'GP' 'LX' 'FT' 'HP' 'CM' 'BP' 'CO' 'GJ' 'KR' 'JX' 'KN' 'KP'
 'K' 'IU' 'EK' 'LC' 'DO' 'LJ' 'R' 'LT' 'FU' 'KX' 'LD' 'HW' 'DI' 'GW' 'EE'
 'GB' 'L' 'KQ' 'BQ' 'EY' 'FE' 'MP' 'MK' 'KS' 'DN' 'LA' 'EN' 'DM' 'AF' 'HD'
 'FX' 'FG' 'CQ' 'IM' 'AW' 'EH' 'LK' 'IN' 'DG' 'JC' 'B' 'MU' 'FF' 'KT' 'CT'
 'GR' 'IL' 'IQ' 'MI' 'GY' 'MQ' 'AO' 'FA' 'ED' 'I' 'DW' 'AX' 'DU' 'ES' 'EJ'
 'HI' 'EB' 'GO' 'LG' 'LE' 'MN' 'BK' 'CL' 'ML' 'IY' 'JM' 'H' 'MA' 'EM' 'AK'
 'KE' 'CF' 'HF' 'AJ' 'II' 'Y' 'DX' 'ID' 'GV' 'EW' 'KK' 'HR' 'CV' 'DR' 'IP'
 'LH' 'MM' 'BS' 'FW' 'AR' 'GG' 'EG' 'MW' 'KM' 'DL' 'MS' 'JY' 'FP' 'JF' 'BW'
 'KY' 'FY' 'GD' 'S' 'CE' 'GH' 'AN' 'KV' 'DE' 'GF' 'AI' 'HT' 'IA' 'BA' 'LR'
 'N' 'JP' 'EU' 'JQ' 'BC' 'U' 'MR' 'JG' 'T' 'J' 'BG' 'BM' 'KF' 'IR' 'ET' 'Q'
 'MV' 'KO' 'HE' 'JA' 'FK' 'KG' 'FV' 'O' 'BJ' 'JH' 'JV' 'JB' 'IW' 'AD' 'BT'
 'F' 'AU' 'IJ' 'AE' 'IV' 'AA' 'DB' 'G' 'JK' 'JJ' 'LP' 'CJ' 'MX' 'BR' 'AV'
 'BH' 'JS' 'FQ' 'M' 'FM' 'KH' 'ER' 'AG' 'A' 'AL' 'FL' 'BN' 'BE' 'IS' 'DV'
 'FJ' 'CY' 'MH' 'LU' 'BB' 'LS' 'D' 'HS' 'FI' 'EX']
Train set has  8 values. Unique values are ::  ['A' 'B' 'C' 'E' 'D' 'H' 'I' 'G'] 

test set has  8 values. Unique values are ::  ['A' 'B' 'D' 'C' 'F' 'H' 'E' 'G'] 

Missing vaues are :  set(['I'])
Train set has  7 values. Unique values are ::  ['A' 'B' 'C' 'D' 'F' 'E' 'G'] 

test set has  6 values. Unique values are ::  ['A' 'B' 'C' 'D' 'F' 'E'] 

Missing vaues are :  set(['G'])
Train set has  7 values. Unique values are ::  ['A' 'H' 'B' 'C' 'D' 'I' 'F'] 

test set has  8 values. Unique values are ::  ['A' 'H' 'B' 'C' 'G' 'I' 'D' 'E'] 

Missing vaues are :  set(['F'])
Train set has  19 values. Unique values are ::  ['G' 'F' 'O' 'D' 'J' 'A' 'C' 'Q' 'M' 'I' 'L' 'R' 'S' 'E' 'N' 'H' 'B' 'U'
 'K'] 

test set has  17 values. Unique values are ::  ['G' 'D' 'Q' 'A' 'F' 'M' 'L' 'O' 'C' 'I' 'J' 'S' 'R' 'E' 'B' 'H' 'K'] 

Missing vaues are :  set(['U', 'N'])
Train set has  9 values. Unique values are ::  ['A' 'C' 'B' 'D' 'G' 'E' 'F' 'H' 'J'] 

test set has  7 values. Unique values are ::  ['A' 'C' 'B' 'E' 'D' 'G' 'F'] 

Missing vaues are :  set(['H', 'J'])
Train set has  20 values. Unique values are ::  ['E' 'F' 'H' 'G' 'I' 'D' 'J' 'K' 'M' 'C' 'A' 'L' 'N' 'P' 'T' 'Q' 'R' 'O'
 'B' 'S'] 

test set has  18 values. Unique values are ::  ['E' 'G' 'F' 'H' 'I' 'D' 'J' 'A' 'L' 'C' 'K' 'N' 'M' 'P' 'O' 'T' 'B' 'Q'] 

Missing vaues are :  set(['S', 'R'])
Train set has  84 values. Unique values are ::  ['BU' 'BI' 'AB' 'H' 'K' 'CD' 'BQ' 'M' 'G' 'BL' 'L' 'AL' 'N' 'CL' 'R' 'F'
 'BJ' 'AR' 'AT' 'S' 'AS' 'BO' 'X' 'D' 'BM' 'I' 'BH' 'CI' 'CF' 'C' 'AM' 'U'
 'BE' 'BR' 'CJ' 'AE' 'A' 'Q' 'AW' 'T' 'AJ' 'AH' 'BA' 'BV' 'CC' 'CA' 'BG'
 'BB' 'O' 'BD' 'AV' 'AX' 'AQ' 'AA' 'AI' 'AU' 'BX' 'AP' 'CK' 'Y' 'CH' 'BS'
 'AN' 'AO' 'BC' 'CE' 'E' 'BY' 'CB' 'BT' 'P' 'BK' 'AF' 'B' 'BF' 'CG' 'V'
 'ZZ' 'AY' 'BP' 'BN' 'J' 'AG' 'AK'] 

test set has  74 values. Unique values are ::  ['BI' 'AB' 'K' 'G' 'BU' 'M' 'I' 'O' 'BO' 'CD' 'T' 'BQ' 'R' 'X' 'AR' 'E'
 'BL' 'CI' 'S' 'AL' 'BH' 'N' 'U' 'F' 'AS' 'AQ' 'AW' 'CC' 'AN' 'AJ' 'C' 'AT'
 'D' 'H' 'CA' 'A' 'AX' 'L' 'BD' 'V' 'BX' 'AH' 'CL' 'AM' 'BA' 'BR' 'AO' 'AE'
 'AY' 'BB' 'BJ' 'AP' 'BN' 'AI' 'Q' 'BS' 'CK' 'AU' 'CE' 'BC' 'BG' 'AD' 'Y'
 'BK' 'AA' 'CG' 'AV' 'P' 'AF' 'CB' 'CF' 'BE' 'CH' 'ZZ'] 

Missing vaues are :  set(['CJ', 'BF', 'B', 'AG', 'BM', 'AK', 'J', 'BT', 'BV', 'BP', 'BY'])
Train set has  131 values. Unique values are ::  ['BC' 'CQ' 'DK' 'CS' 'C' 'EB' 'DW' 'AM' 'AI' 'EG' 'CL' 'BS' 'BT' 'CO' 'CM'
 'EL' 'AY' 'W' 'EE' 'AC' 'DX' 'CI' 'DT' 'A' 'V' 'DM' 'EF' 'DL' 'DA' 'BP'
 'DH' 'CF' 'N' 'T' 'CR' 'X' 'CH' 'EM' 'DC' 'AX' 'BG' 'CJ' 'EA' 'AD' 'U'
 'AK' 'BX' 'AW' 'G' 'BA' 'L' 'AP' 'CG' 'R' 'DU' 'I' 'AR' 'O' 'DF' 'AT' 'E'
 'AB' 'AU' 'DI' 'CN' 'CP' 'AL' 'ED' 'DJ' 'AO' 'CY' 'BE' 'BJ' 'D' 'AA' 'CK'
 'CV' 'BK' 'BB' 'AE' 'BO' 'P' 'DO' 'CT' 'AJ' 'BR' 'Y' 'DR' 'BQ' 'BL' 'B'
 'BW' 'H' 'DP' 'DG' 'AG' 'BN' 'J' 'CW' 'DV' 'Q' 'DY' 'EI' 'AV' 'DQ' 'BU'
 'K' 'BF' 'BD' 'DS' 'DE' 'BM' 'BY' 'CD' 'BI' 'DD' 'DB' 'AH' 'CC' 'DN' 'CU'
 'BV' 'CX' 'AN' 'EK' 'EJ' 'AS' 'AF' 'CB' 'EH' 'S'] 

test set has  123 values. Unique values are ::  ['BC' 'CO' 'CS' 'CR' 'EG' 'CL' 'EL' 'BT' 'EB' 'CQ' 'BS' 'C' 'W' 'DX' 'CM'
 'A' 'EF' 'CI' 'DL' 'AI' 'BP' 'N' 'DJ' 'CT' 'E' 'DW' 'CH' 'V' 'AM' 'DK'
 'EA' 'BR' 'DR' 'D' 'EE' 'T' 'AP' 'I' 'AC' 'CY' 'DM' 'AL' 'CK' 'AD' 'AY'
 'CF' 'CD' 'BG' 'AK' 'DA' 'DC' 'DQ' 'BA' 'U' 'CX' 'BJ' 'AV' 'AR' 'K' 'CG'
 'DT' 'CN' 'O' 'BO' 'DU' 'CJ' 'AX' 'DH' 'BX' 'AH' 'AU' 'AB' 'BV' 'EM' 'L'
 'BH' 'DI' 'DB' 'DE' 'CV' 'DO' 'BQ' 'AW' 'AJ' 'J' 'CU' 'P' 'CP' 'DS' 'BL'
 'AO' 'AA' 'DF' 'DG' 'CC' 'X' 'BF' 'AE' 'BU' 'AT' 'BB' 'B' 'ED' 'Y' 'G'
 'BE' 'DD' 'DY' 'DP' 'R' 'CW' 'DN' 'AG' 'BW' 'BY' 'EK' 'CA' 'AS' 'EJ' 'BM'
 'Q' 'S' 'EN'] 

Missing vaues are :  set(['BD', 'EI', 'EH', 'AF', 'H', 'BN', 'BI', 'BK', 'CB', 'DV', 'AN'])
Train set has  16 values. Unique values are ::  ['C' 'A' 'G' 'E' 'I' 'M' 'W' 'S' 'K' 'O' 'Q' 'U' 'F' 'B' 'Y' 'D'] 

test set has  16 values. Unique values are ::  ['A' 'E' 'C' 'G' 'K' 'I' 'Q' 'U' 'M' 'O' 'S' 'F' 'L' 'W' 'Y' 'B'] 

Missing vaues are :  set(['D'])
Train set has  61 values. Unique values are ::  ['S' 'BM' 'AF' 'AE' 'Y' 'AX' 'H' 'K' 'L' 'A' 'J' 'AK' 'N' 'M' 'AJ' 'AT' 'F'
 'BC' 'AY' 'AD' 'BG' 'BO' 'AS' 'BD' 'AN' 'I' 'BF' 'BK' 'AW' 'AG' 'BJ' 'AO'
 'Q' 'AM' 'X' 'AU' 'BN' 'BH' 'AI' 'C' 'AV' 'AQ' 'AH' 'G' 'E' 'BA' 'AL' 'BI'
 'U' 'AB' 'V' 'O' 'BB' 'AP' 'B' 'BL' 'BE' 'T' 'P' 'AC' 'AR'] 

test set has  60 values. Unique values are ::  ['AX' 'X' 'AE' 'AJ' 'I' 'BC' 'S' 'Y' 'L' 'A' 'AO' 'AN' 'N' 'BM' 'AK' 'Q'
 'BK' 'J' 'M' 'AV' 'H' 'AD' 'AS' 'AW' 'BN' 'K' 'AG' 'BJ' 'F' 'BG' 'AF' 'AU'
 'BO' 'AT' 'BH' 'BD' 'AI' 'AY' 'BF' 'AM' 'E' 'AH' 'C' 'BI' 'AB' 'BA' 'BB'
 'O' 'B' 'AQ' 'V' 'BL' 'G' 'AP' 'U' 'AA' 'R' 'AR' 'AL' 'P'] 

Missing vaues are :  set(['BE', 'AC', 'T'])
Train set has  19 values. Unique values are ::  ['A' 'J' 'E' 'C' 'F' 'L' 'N' 'I' 'R' 'U' 'O' 'B' 'Q' 'V' 'D' 'X' 'W' 'S'
 'G'] 

test set has  18 values. Unique values are ::  ['A' 'C' 'E' 'N' 'I' 'O' 'F' 'J' 'R' 'L' 'U' 'V' 'Q' 'B' 'W' 'G' 'D' 'S'] 

Missing vaues are :  set(['X'])
Train set has  326 values. Unique values are ::  ['LB' 'DP' 'GK' 'DJ' 'CK' 'LO' 'IE' 'LY' 'GS' 'HK' 'DC' 'MP' 'DS' 'LE' 'HQ'
 'HJ' 'GC' 'BY' 'HX' 'HL' 'HG' 'MD' 'LF' 'LM' 'CB' 'CS' 'KQ' 'HN' 'LQ' 'KW'
 'IT' 'LN' 'CW' 'LC' 'GX' 'GE' 'CP' 'HB' 'GI' 'GM' 'CR' 'JR' 'HA' 'EE' 'BA'
 'LJ' 'IH' 'HV' 'GU' 'HM' 'CY' 'IC' 'KD' 'KI' 'DN' 'MG' 'LL' 'KN' 'LH' 'DF'
 'EY' 'LW' 'KA' 'EK' 'DK' 'EO' 'CG' 'K' 'HC' 'DI' 'FB' 'IG' 'FR' 'CI' 'EC'
 'KR' 'HI' 'IU' 'MC' 'BP' 'JW' 'FH' 'IF' 'E' 'DA' 'KL' 'LX' 'IL' 'KB' 'IQ'
 'EL' 'JX' 'H' 'GN' 'CD' 'DH' 'AC' 'FD' 'ME' 'KC' 'FT' 'CT' 'DM' 'GL' 'ES'
 'JL' 'BX' 'II' 'HP' 'ED' 'CU' 'EN' 'FG' 'MJ' 'KE' 'CF' 'EB' 'DD' 'EI' 'FX'
 'EA' 'BO' 'KP' 'EP' 'FC' 'GB' 'JU' 'LV' 'CO' 'EF' 'BD' 'HW' 'LI' 'GT' 'HH'
 'KJ' 'CN' 'B' 'FE' 'GA' 'FW' 'IY' 'MO' 'JG' 'ID' 'DX' 'FA' 'LA' 'HR' 'GJ'
 'GO' 'KT' 'GW' 'U' 'MI' 'GP' 'F' 'DU' 'KM' 'BV' 'DT' 'IM' 'LD' 'GR' 'HD'
 'BS' 'AJ' 'KX' 'LR' 'ML' 'KU' 'CE' 'IA' 'DE' 'R' 'AO' 'MU' 'AK' 'CX' 'HY'
 'EH' 'MA' 'GH' 'LK' 'DL' 'AX' 'IN' 'BI' 'JM' 'JF' 'KK' 'DR' 'LT' 'GF' 'AW'
 'KY' 'CA' 'MK' 'DV' 'EG' 'DW' 'MN' 'V' 'CM' 'GY' 'AF' 'JC' 'MR' 'JE' 'IP'
 'KV' 'KH' 'BW' 'MQ' 'D' 'HF' 'CV' 'BL' 'FL' 'GV' 'CQ' 'BM' 'JB' 'J' 'FU'
 'AG' 'EJ' 'CH' 'MW' 'X' 'DG' 'AV' 'EW' 'O' 'DO' 'BK' 'FS' 'T' 'CL' 'Y'
 'JQ' 'I' 'AL' 'JJ' 'HT' 'FF' 'JA' 'GD' 'FV' 'BQ' 'M' 'S' 'EU' 'P' 'FJ'
 'AR' 'LG' 'IR' 'GQ' 'MM' 'AY' 'MF' 'GG' 'KG' 'JD' 'L' 'KS' 'AH' 'JV' 'EV'
 'CC' 'AB' 'FK' 'JY' 'G' 'W' 'BC' 'AM' 'KF' 'LU' 'IK' 'BU' 'AT' 'JP' 'Q'
 'IJ' 'JO' 'JH' 'AS' 'JN' 'BF' 'AD' 'FP' 'MV' 'AA' 'CJ' 'DY' 'IB' 'AN' 'EQ'
 'JT' 'BG' 'AP' 'MB' 'JK' 'FI' 'MS' 'HE' 'C' 'IV' 'IO' 'BT' 'DQ' 'FM' 'HO'
 'MH' 'MT' 'FO' 'JI' 'FQ' 'AU' 'FN' 'BB' 'HU' 'IX' 'AE'] 

test set has  311 values. Unique values are ::  ['HG' 'HK' 'CK' 'DJ' 'HA' 'HY' 'MD' 'KC' 'GC' 'DT' 'HX' 'GE' 'HV' 'HJ' 'DA'
 'HL' 'KB' 'JR' 'EP' 'DF' 'DP' 'LN' 'IE' 'GK' 'KW' 'CD' 'CR' 'CG' 'GS' 'LF'
 'IF' 'HQ' 'FB' 'LL' 'LQ' 'JE' 'GL' 'LM' 'LB' 'LO' 'DC' 'HB' 'GT' 'CS' 'GX'
 'BD' 'CI' 'IC' 'CW' 'EC' 'CH' 'KI' 'MG' 'JW' 'JU' 'HM' 'IT' 'IH' 'IG' 'LY'
 'MC' 'EL' 'FH' 'MO' 'KD' 'GU' 'MJ' 'KA' 'FD' 'HH' 'DK' 'AC' 'GI' 'LW' 'BY'
 'HN' 'CU' 'BU' 'BO' 'GM' 'KU' 'FR' 'EO' 'CN' 'EI' 'HC' 'LI' 'DS' 'EA' 'ME'
 'E' 'GA' 'CB' 'LV' 'CP' 'GN' 'KL' 'CX' 'DH' 'CA' 'BV' 'BX' 'JL' 'KJ' 'EF'
 'DD' 'AQ' 'FC' 'GP' 'LX' 'FT' 'HP' 'CM' 'BP' 'CO' 'GJ' 'KR' 'JX' 'KN' 'KP'
 'K' 'IU' 'EK' 'LC' 'DO' 'LJ' 'R' 'LT' 'FU' 'KX' 'LD' 'HW' 'DI' 'GW' 'EE'
 'GB' 'L' 'KQ' 'BQ' 'EY' 'FE' 'MP' 'MK' 'KS' 'DN' 'LA' 'EN' 'DM' 'AF' 'HD'
 'FX' 'FG' 'CQ' 'IM' 'AW' 'EH' 'LK' 'IN' 'DG' 'JC' 'B' 'MU' 'FF' 'KT' 'CT'
 'GR' 'IL' 'IQ' 'MI' 'GY' 'MQ' 'AO' 'FA' 'ED' 'I' 'DW' 'AX' 'DU' 'ES' 'EJ'
 'HI' 'EB' 'GO' 'LG' 'LE' 'MN' 'BK' 'CL' 'ML' 'IY' 'JM' 'H' 'MA' 'EM' 'AK'
 'KE' 'CF' 'HF' 'AJ' 'II' 'Y' 'DX' 'ID' 'GV' 'EW' 'KK' 'HR' 'CV' 'DR' 'IP'
 'LH' 'MM' 'BS' 'FW' 'AR' 'GG' 'EG' 'MW' 'KM' 'DL' 'MS' 'JY' 'FP' 'JF' 'BW'
 'KY' 'FY' 'GD' 'S' 'CE' 'GH' 'AN' 'KV' 'DE' 'GF' 'AI' 'HT' 'IA' 'BA' 'LR'
 'N' 'JP' 'EU' 'JQ' 'BC' 'U' 'MR' 'JG' 'T' 'J' 'BG' 'BM' 'KF' 'IR' 'ET' 'Q'
 'MV' 'KO' 'HE' 'JA' 'FK' 'KG' 'FV' 'O' 'BJ' 'JH' 'JV' 'JB' 'IW' 'AD' 'BT'
 'F' 'AU' 'IJ' 'AE' 'IV' 'AA' 'DB' 'G' 'JK' 'JJ' 'LP' 'CJ' 'MX' 'BR' 'AV'
 'BH' 'JS' 'FQ' 'M' 'FM' 'KH' 'ER' 'AG' 'A' 'AL' 'FL' 'BN' 'BE' 'IS' 'DV'
 'FJ' 'CY' 'MH' 'LU' 'BB' 'LS' 'D' 'HS' 'FI' 'EX'] 

Missing vaues are :  set(['BF', 'FS', 'W', 'BL', 'BI', 'HU', 'JN', 'JO', 'JI', 'DY', 'JD', 'FN', 'FO', 'IB', 'JT', 'DQ', 'IX', 'C', 'AB', 'GQ', 'CC', 'AH', 'AM', 'AP', 'AS', 'AT', 'IO', 'V', 'AY', 'X', 'EV', 'EQ', 'MF', 'MB', 'IK', 'MT', 'P', 'HO'])
畫出類別變量並查看變量分布

# lets visualize the values in each of the features
# keep in mind you'll be seeing a lot of plots now
# better is use ipython/jupyter notebook to plot inline plots
for feature in categorical_train:
    sns.countplot(x = train[feature], data = train)
    plt.show()

for feature in categorical_test:
    sns.countplot(x = test[feature], data = test)
    plt.show()
18ded86ac9277066e06efad4f4ccd0b3fcd99e64
664bc3e0d3447f55e878f54462289d1eefc5ee73

25cc32097dd6e7d8316143adfd02185da1080495

cc4da1f406c2e60c6a178ca9f98ec66e1e81b0d0

2e8e2077edf726df18c4ef0615813d8424c59466

 a498afd08bdae31bfe2c0b7ef73a24aad4516137

2ace66b25566e73f6e0452722c00b455d6cc90e9

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類別變量的一個熱點

aka

表示通過分類特征獲取的值;輸出將是稀疏矩陣,其中每一列對應於一個特征的可能值。

1. 

# cat1 to cat72 have only two labels A and B
# cat73 to cat 108 have more than two labels
# cat109 to cat116 have many labels
# moreover you must have noticed that some labels are missing in some features of train/test dataset
# this might become a problem when working with multiple datasets
# to avoid this, we will merge data before doing onehotencoding
train_test = pd.concat(train, test).reset_index(drop=True)
categorical = train_test.dtypes[train_test.dtypes == "object"].index
# lets check for factors in the categorical variables
for feature in categorical:
    print feature, 'has ', len(train_test[feature].unique()), 'values. Unique values are :: ', train_test[feature].unique()

# 1. one hot encoding all categorical variables
v = DictVectorizer()
train_test_qual = v.fit_transform(train_test[categorical].to_dict('records'))
print 'total vocabulary :: ', train_test_qual.vocabulary_
print 'total number of columns', len(train_test_qual.vocabulary_.keys())
print 'total number of new columns added ', len(train_test_qual.vocabulary_.keys()) - len(categorical)

# it can be seen that we are adding too many new variables. This encoding is important
# since machine learning algorithms dont understand strings and we have to convert string factors
# as numeric factors which increase our dimensionality
new_df = pd.DataFrame(X_qual.toarray(), columns= [i[0] for i in sorted(v.vocabulary_.items(), key=operator.itemgetter(1))])
new_df = pd.concat([new_df, train_test], axis=1)  
# remove initial categorical variables
new_df.drop(categorical, axis=1, inplace=True)

# take back the train and test set from the above data
train_featured = new_df.iloc[:train.shape[0], :]
test_featured = new_df.iloc[train.shape[0]:, :]
train_featured[continous_train] = train[continous_train]
test_featured[continous_train] = test[continous_train]
train_featured['loss'] = loss
2. 
# 2. using get dummies from pandas
new_df2 = train_test
dummies = pd.get_dummies(train_test[categorical], drop_first = True)

new_df2 = pd.concat([new_df2, dummies], axis=1)      
new_df2.drop(categorical, inplace=True, axis=1)

# take back the train and test set from the above data
train_featured2 = new_df2.iloc[:train.shape[0], :]
test_featured2 = new_df2.iloc[train.shape[0]:, :]
train_featured2[continous_train] = train[continous_train]
test_featured2[continous_train] = test[continous_train]
train_featured2['loss'] = loss


3. 

# 3. pd.factorize
new_df3 = train_test
for feature in new_df3.columns:
    new_df3[feature] = pd.factorize(new_df3[feature], sort=True)[0]

# take back the train and test set from the above data
train_featured3 = new_df3.iloc[:train.shape[0], :]
test_featured3 = new_df3.iloc[train.shape[0]:, :]
train_featured3[continous_train] = train[continous_train]
test_featured3[continous_train] = test[continous_train]
train_featured3['loss'] = loss


4. 


以下是整個代碼

# import required libraries
# pandas for reading data and manipulation
# scikit learn to one hot encoder and label encoder
# sns and matplotlib to visualize
import pandas as pd
import seaborn as sns
import matplotlib.pyplot as plt
from sklearn.feature_extraction import DictVectorizer
import operator

# read data from csv file
train = pd.read_csv('train.csv')
test = pd.read_csv('test.csv')

# let's take a look at the train and test data
print '**************************************'
print 'TRAIN DATA'
print '**************************************'
print train.head(5)
print '**************************************'
print 'TEST DATA'
print '**************************************'
print test.head(5)

# the above code wont print all columns.
# to print all columns
pd.set_option('display.max_rows', None)
pd.set_option('display.max_columns', None)

# let's take a look at the train and test data again
print '**************************************'
print 'TRAIN DATA'
print '**************************************'
print train.head(5)
print '**************************************'
print 'TEST DATA'
print '**************************************'
print test.head(5)

# remove ID column. No use.
train.drop('id',axis=1,inplace=True)
test.drop('id',axis=1,inplace=True)
loss = train.drop('loss', axis = 1, inplace = True)

# high level statistics. mean media mode count and quartiles
# note - this will work only for the continous variables
# not for the categorical variables
print train.describe()
print test.describe()

# at this point, it is wise to check whether there are any features that
# are there is one of the dataset but not in other
missingFeatures = False
inTrainNotTest = []
for feature in train.columns:
    if feature not in test.columns:
        missingFeatures = True
        inTrainNotTest.append(feature)

if len(inTrainNotTest)>0:
    print ', '. join(inTrainNotTest), ' features are present in training set but not in test set'

inTestNotTrain = []
for feature in test.columns:
    if feature not in train.columns:
        missingFeatures = True
        inTestNotTrain.append(feature)
if len(inTestNotTrain)>0:
    print ', '. join(inTestNotTrain), ' features are present in test set but not in training set'
        
# find categorical variables
# in this problem, categoric

最後更新:2017-07-12 22:08:13

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