Отчет о лаботарорной работе методы и средства анализа данных по теме: «Система анализа данных weka»





НазваниеОтчет о лаботарорной работе методы и средства анализа данных по теме: «Система анализа данных weka»
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Дата публикации10.01.2015
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Классификация методом ID3



Этот алгоритм требует чтобы во входном наборе содержались только данные номинального типа. Для этого выбираем filter->unsupervised->attribute->RemoveType и удаляем все типы данных кроме nominal. Применение фильтра RemoveType изображено на рисунке 2.



Рисунок 2

После применения фильтров в наборе остаются только данные номинального типа. С ними и продолжает работу алгоритм. Далее для работы алгоритма необходимо отсутствие пустых значений. Чтобы осуществить это применяется фильтр ReplaceMissingValues, заменяющий пустые значения средними. Пример вывода программы изображен в листинге 3.

В нашем случае разбиение производится по перменной Income и дерево получается очень сильно разветвленным и не очень точным. Также возрастает средняя ошибка дерева, и при этом 11.75 %из исходных выкладок не классифицируются.

Листинг 3

=== Run information ===
Scheme: weka.classifiers.trees.Id3

Relation: laba43-weka.filters.unsupervised.attribute.RemoveType-Tnumeric-weka.filters.unsupervised.attribute.ReplaceMissingValues

Instances: 400

Attributes: 9

workclass

education

marital-status

occupation

relationship

race

sex

native-country

income

Test mode: 10-fold cross-validation
=== Classifier model (full training set) ===
Id3

education = Bachelors

| marital-status = Married-civ-spouse

| | occupation = Tech-support: >50K

| | occupation = Craft-repair

| | | relationship = Wife

| | | | race = White: >50K

| | | | race = Asian-Pac-Islander: <=50K

| | | | race = Amer-Indian-Eskimo: null

| | | | race = Other: null

| | | | race = Black: null

| | | relationship = Own-child: >50K

| | | relationship = Husband: <=50K

| | | relationship = Not-in-family: null

| | | relationship = Other-relative: null

| | | relationship = Unmarried: null

| | occupation = Other-service: null

| | occupation = Sales: >50K

| | occupation = Exec-managerial

| | | workclass = Private

| | | | relationship = Wife: <=50K

| | | | relationship = Own-child: null

| | | | relationship = Husband: >50K

| | | | relationship = Not-in-family: null

| | | | relationship = Other-relative: null

| | | | relationship = Unmarried: null

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: >50K

| | | workclass = Local-gov: >50K

| | | workclass = State-gov: >50K

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Prof-specialty

| | | workclass = Private: >50K

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: <=50K

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Handlers-cleaners: null

| | occupation = Machine-op-inspct: null

| | occupation = Adm-clerical: >50K

| | occupation = Farming-fishing: >50K

| | occupation = Transport-moving: null

| | occupation = Priv-house-serv: null

| | occupation = Protective-serv: <=50K

| | occupation = Armed-Forces: null

| marital-status = Divorced: <=50K

| marital-status = Never-married

| | occupation = Tech-support: <=50K

| | occupation = Craft-repair: >50K

| | occupation = Other-service: <=50K

| | occupation = Sales: <=50K

| | occupation = Exec-managerial

| | | relationship = Wife: null

| | | relationship = Own-child

| | | | workclass = Private: >50K

| | | | workclass = Self-emp-not-inc: null

| | | | workclass = Self-emp-inc: <=50K

| | | | workclass = Federal-gov: null

| | | | workclass = Local-gov: null

| | | | workclass = State-gov: null

| | | | workclass = Without-pay: null

| | | | workclass = Never-worked: null

| | | relationship = Husband: null

| | | relationship = Not-in-family: <=50K

| | | relationship = Other-relative: null

| | | relationship = Unmarried: null

| | occupation = Prof-specialty

| | | sex = Female: <=50K

| | | sex = Male

| | | | relationship = Wife: null

| | | | relationship = Own-child: <=50K

| | | | relationship = Husband: null

| | | | relationship = Not-in-family: >50K

| | | | relationship = Other-relative: <=50K

| | | | relationship = Unmarried: null

| | occupation = Handlers-cleaners: null

| | occupation = Machine-op-inspct: null

| | occupation = Adm-clerical: <=50K

| | occupation = Farming-fishing: null

| | occupation = Transport-moving: null

| | occupation = Priv-house-serv: null

| | occupation = Protective-serv: <=50K

| | occupation = Armed-Forces: null

| marital-status = Separated: <=50K

| marital-status = Widowed: <=50K

| marital-status = Married-spouse-absent: null

| marital-status = Married-AF-spouse: null

education = Some-college

| relationship = Wife

| | occupation = Tech-support: null

| | occupation = Craft-repair: <=50K

| | occupation = Other-service: <=50K

| | occupation = Sales: null

| | occupation = Exec-managerial: null

| | occupation = Prof-specialty: null

| | occupation = Handlers-cleaners: null

| | occupation = Machine-op-inspct: null

| | occupation = Adm-clerical: >50K

| | occupation = Farming-fishing: null

| | occupation = Transport-moving: null

| | occupation = Priv-house-serv: null

| | occupation = Protective-serv: null

| | occupation = Armed-Forces: null

| relationship = Own-child: <=50K

| relationship = Husband

| | occupation = Tech-support: <=50K

| | occupation = Craft-repair: <=50K

| | occupation = Other-service: >50K

| | occupation = Sales

| | | race = White: <=50K

| | | race = Asian-Pac-Islander: >50K

| | | race = Amer-Indian-Eskimo: <=50K

| | | race = Other: null

| | | race = Black: null

| | occupation = Exec-managerial

| | | workclass = Private: null

| | | workclass = Self-emp-not-inc: >50K

| | | workclass = Self-emp-inc: >50K

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: >50K

| | | workclass = State-gov: <=50K

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Prof-specialty: <=50K

| | occupation = Handlers-cleaners: <=50K

| | occupation = Machine-op-inspct: <=50K

| | occupation = Adm-clerical: <=50K

| | occupation = Farming-fishing: null

| | occupation = Transport-moving: >50K

| | occupation = Priv-house-serv: null

| | occupation = Protective-serv

| | | workclass = Private: null

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: <=50K

| | | workclass = State-gov: >50K

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Armed-Forces: null

| relationship = Not-in-family: <=50K

| relationship = Other-relative: <=50K

| relationship = Unmarried: <=50K

education = 11th

| occupation = Tech-support: null

| occupation = Craft-repair: <=50K

| occupation = Other-service: null

| occupation = Sales: null

| occupation = Exec-managerial

| | marital-status = Married-civ-spouse: >50K

| | marital-status = Divorced: <=50K

| | marital-status = Never-married: null

| | marital-status = Separated: null

| | marital-status = Widowed: null

| | marital-status = Married-spouse-absent: null

| | marital-status = Married-AF-spouse: null

| occupation = Prof-specialty: >50K

| occupation = Handlers-cleaners: null

| occupation = Machine-op-inspct: <=50K

| occupation = Adm-clerical: <=50K

| occupation = Farming-fishing: <=50K

| occupation = Transport-moving: <=50K

| occupation = Priv-house-serv: null

| occupation = Protective-serv: null

| occupation = Armed-Forces: null

education = HS-grad

| relationship = Wife

| | occupation = Tech-support: null

| | occupation = Craft-repair: null

| | occupation = Other-service

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: >50K

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Sales: <=50K

| | occupation = Exec-managerial: null

| | occupation = Prof-specialty: null

| | occupation = Handlers-cleaners: null

| | occupation = Machine-op-inspct: <=50K

| | occupation = Adm-clerical: >50K

| | occupation = Farming-fishing: null

| | occupation = Transport-moving: null

| | occupation = Priv-house-serv: null

| | occupation = Protective-serv: null

| | occupation = Armed-Forces: null

| relationship = Own-child: <=50K

| relationship = Husband

| | occupation = Tech-support: <=50K

| | occupation = Craft-repair

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc: <=50K

| | | workclass = Self-emp-inc: >50K

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: <=50K

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Other-service: <=50K

| | occupation = Sales

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: <=50K

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: null

| | | workclass = State-gov: <=50K

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Exec-managerial: <=50K

| | occupation = Prof-specialty: null

| | occupation = Handlers-cleaners: <=50K

| | occupation = Machine-op-inspct

| | | native-country = United-States

| | | | race = White: <=50K

| | | | race = Asian-Pac-Islander: null

| | | | race = Amer-Indian-Eskimo: <=50K

| | | | race = Other: null

| | | | race = Black: null

| | | native-country = Cambodia: null

| | | native-country = England: null

| | | native-country = Puerto-Rico: null

| | | native-country = Canada: null

| | | native-country = Germany: null

| | | native-country = Outlying-US(Guam-USVI-etc): null

| | | native-country = India: null

| | | native-country = Japan: null

| | | native-country = Greece: null

| | | native-country = South: null

| | | native-country = China: null

| | | native-country = Cuba: null

| | | native-country = Iran: null

| | | native-country = Honduras: null

| | | native-country = Philippines: null

| | | native-country = Italy: >50K

| | | native-country = Poland: null

| | | native-country = Jamaica: null

| | | native-country = Vietnam: null

| | | native-country = Mexico: null

| | | native-country = Portugal: null

| | | native-country = Ireland: null

| | | native-country = France: null

| | | native-country = Dominican-Republic: null

| | | native-country = Laos: null

| | | native-country = Ecuador: null

| | | native-country = Taiwan: null

| | | native-country = Haiti: null

| | | native-country = Columbia: null

| | | native-country = Hungary: null

| | | native-country = Guatemala: null

| | | native-country = Nicaragua: null

| | | native-country = Scotland: null

| | | native-country = Thailand: null

| | | native-country = Yugoslavia: null

| | | native-country = El-Salvador: null

| | | native-country = Trinadad&Tobago: null

| | | native-country = Peru: null

| | | native-country = Hong: null

| | | native-country = Holand-Netherlands: null

| | occupation = Adm-clerical

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: >50K

| | | workclass = Local-gov: null

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Farming-fishing

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc

| | | | race = White: >50K

| | | | race = Asian-Pac-Islander: <=50K

| | | | race = Amer-Indian-Eskimo: null

| | | | race = Other: null

| | | | race = Black: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: null

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Transport-moving

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc: null

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: <=50K

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | occupation = Priv-house-serv: null

| | occupation = Protective-serv: null

| | occupation = Armed-Forces: null

| relationship = Not-in-family: <=50K

| relationship = Other-relative: <=50K

| relationship = Unmarried: <=50K

education = Prof-school: >50K

education = Assoc-acdm

| occupation = Tech-support: null

| occupation = Craft-repair: null

| occupation = Other-service: null

| occupation = Sales: <=50K

| occupation = Exec-managerial: >50K

| occupation = Prof-specialty: <=50K

| occupation = Handlers-cleaners: <=50K

| occupation = Machine-op-inspct: null

| occupation = Adm-clerical

| | workclass = Private: <=50K

| | workclass = Self-emp-not-inc: null

| | workclass = Self-emp-inc: null

| | workclass = Federal-gov: >50K

| | workclass = Local-gov: null

| | workclass = State-gov: null

| | workclass = Without-pay: null

| | workclass = Never-worked: null

| occupation = Farming-fishing: >50K

| occupation = Transport-moving: null

| occupation = Priv-house-serv: null

| occupation = Protective-serv: null

| occupation = Armed-Forces: null

education = Assoc-voc

| relationship = Wife: <=50K

| relationship = Own-child: <=50K

| relationship = Husband

| | workclass = Private: >50K

| | workclass = Self-emp-not-inc: null

| | workclass = Self-emp-inc: null

| | workclass = Federal-gov: <=50K

| | workclass = Local-gov: null

| | workclass = State-gov: null

| | workclass = Without-pay: null

| | workclass = Never-worked: null

| relationship = Not-in-family: <=50K

| relationship = Other-relative: null

| relationship = Unmarried: <=50K

education = 9th: <=50K

education = 7th-8th: <=50K

education = 12th

| occupation = Tech-support: null

| occupation = Craft-repair: <=50K

| occupation = Other-service: null

| occupation = Sales: null

| occupation = Exec-managerial: null

| occupation = Prof-specialty: >50K

| occupation = Handlers-cleaners: null

| occupation = Machine-op-inspct: null

| occupation = Adm-clerical: null

| occupation = Farming-fishing: null

| occupation = Transport-moving: null

| occupation = Priv-house-serv: null

| occupation = Protective-serv: null

| occupation = Armed-Forces: null

education = Masters

| occupation = Tech-support: <=50K

| occupation = Craft-repair: null

| occupation = Other-service: null

| occupation = Sales: >50K

| occupation = Exec-managerial: >50K

| occupation = Prof-specialty

| | relationship = Wife: >50K

| | relationship = Own-child: >50K

| | relationship = Husband

| | | workclass = Private

| | | | race = White: >50K

| | | | race = Asian-Pac-Islander: null

| | | | race = Amer-Indian-Eskimo: null

| | | | race = Other: null

| | | | race = Black: >50K

| | | workclass = Self-emp-not-inc: >50K

| | | workclass = Self-emp-inc: null

| | | workclass = Federal-gov: null

| | | workclass = Local-gov: null

| | | workclass = State-gov: null

| | | workclass = Without-pay: null

| | | workclass = Never-worked: null

| | relationship = Not-in-family: <=50K

| | relationship = Other-relative: null

| | relationship = Unmarried: <=50K

| occupation = Handlers-cleaners: null

| occupation = Machine-op-inspct: null

| occupation = Adm-clerical: null

| occupation = Farming-fishing: null

| occupation = Transport-moving: null

| occupation = Priv-house-serv: null

| occupation = Protective-serv: >50K

| occupation = Armed-Forces: null

education = 1st-4th: <=50K

education = 10th

| workclass = Private: <=50K

| workclass = Self-emp-not-inc: >50K

| workclass = Self-emp-inc: null

| workclass = Federal-gov: null

| workclass = Local-gov: <=50K

| workclass = State-gov: null

| workclass = Without-pay: null

| workclass = Never-worked: null

education = Doctorate

| workclass = Private

| | marital-status = Married-civ-spouse: >50K

| | marital-status = Divorced: null

| | marital-status = Never-married: <=50K

| | marital-status = Separated: null

| | marital-status = Widowed: null

| | marital-status = Married-spouse-absent: null

| | marital-status = Married-AF-spouse: null

| workclass = Self-emp-not-inc: <=50K

| workclass = Self-emp-inc: null

| workclass = Federal-gov: >50K

| workclass = Local-gov: <=50K

| workclass = State-gov: null

| workclass = Without-pay: null

| workclass = Never-worked: null

education = 5th-6th: <=50K

education = Preschool: null
Time taken to build model: 0.03 seconds
=== Stratified cross-validation ===

=== Summary ===
Correctly Classified Instances 297 74.25 %

Incorrectly Classified Instances 56 14 %

Kappa statistic 0.4963

Mean absolute error 0.1909

Root mean squared error 0.3951

Relative absolute error 64.2259 %

Root relative squared error 103.2838 %

UnClassified Instances 47 11.75 %

Total Number of Instances 400
=== Detailed Accuracy By Class ===
TP Rate FP Rate Precision Recall F-Measure Class

0.554 0.082 0.641 0.554 0.594 >50K

0.918 0.446 0.886 0.918 0.901 <=50K
=== Confusion Matrix ===
a b <-- classified as

41 33 | a = >50K

23 256 | b = <=50K

Дерево имеет очень сильно разветвленную структуру. Но видно что многие значения – пустые (null), то есть такая комбинация параметров в исходных данных не встречается. А в тех местах, где значение не пустое – там можно увидеть цепочку для которой в итоге будет >50K или <50K.

Если удалить все строки со значением null то можно получить небольшой набор правил, по которым можно классифицировать объекты:

education = Bachelors

| marital-status = Married-civ-spouse

| | occupation = Tech-support: >50K

| | occupation = Craft-repair

| | | relationship = Wife

| | | | race = White: >50K

| | | | race = Asian-Pac-Islander: <=50K

| | | relationship = Own-child: >50K

| | | relationship = Husband: <=50K

| | occupation = Sales: >50K

| | occupation = Exec-managerial

| | | workclass = Private

| | | | relationship = Wife: <=50K

| | | | relationship = Husband: >50K

| | | workclass = Federal-gov: >50K

| | | workclass = Local-gov: >50K

| | | workclass = State-gov: >50K

| | occupation = Prof-specialty

| | | workclass = Private: >50K

| | | workclass = Local-gov: <=50K

| | occupation = Adm-clerical: >50K

| | occupation = Farming-fishing: >50K

| | occupation = Protective-serv: <=50K

| marital-status = Divorced: <=50K

| marital-status = Never-married

| | occupation = Tech-support: <=50K

| | occupation = Craft-repair: >50K

| | occupation = Other-service: <=50K

| | occupation = Sales: <=50K

| | occupation = Exec-managerial

| | | relationship = Own-child

| | | | workclass = Private: >50K

| | | | workclass = Self-emp-inc: <=50K

| | | relationship = Not-in-family: <=50K

| | occupation = Prof-specialty

| | | sex = Female: <=50K

| | | sex = Male

| | | | relationship = Own-child: <=50K

| | | | relationship = Not-in-family: >50K

| | | | relationship = Other-relative: <=50K

| | occupation = Adm-clerical: <=50K

| | occupation = Protective-serv: <=50K

| marital-status = Separated: <=50K

| marital-status = Widowed: <=50K

education = Some-college

| relationship = Wife

| | occupation = Craft-repair: <=50K

| | occupation = Other-service: <=50K

| | occupation = Adm-clerical: >50K

| relationship = Own-child: <=50K

| relationship = Husband

| | occupation = Tech-support: <=50K

| | occupation = Craft-repair: <=50K

| | occupation = Other-service: >50K

| | occupation = Sales

| | | race = White: <=50K

| | | race = Asian-Pac-Islander: >50K

| | | race = Amer-Indian-Eskimo: <=50K

| | occupation = Exec-managerial

| | | workclass = Self-emp-not-inc: >50K

| | | workclass = Self-emp-inc: >50K

| | | workclass = Local-gov: >50K

| | | workclass = State-gov: <=50K

| | occupation = Prof-specialty: <=50K

| | occupation = Handlers-cleaners: <=50K

| | occupation = Machine-op-inspct: <=50K

| | occupation = Adm-clerical: <=50K

| | occupation = Transport-moving: >50K

| | occupation = Protective-serv

| | | workclass = Local-gov: <=50K

| | | workclass = State-gov: >50K

| relationship = Not-in-family: <=50K

| relationship = Other-relative: <=50K

| relationship = Unmarried: <=50K

education = 11th

| occupation = Craft-repair: <=50K

| occupation = Exec-managerial

| | marital-status = Married-civ-spouse: >50K

| | marital-status = Divorced: <=50K

| occupation = Prof-specialty: >50K

| occupation = Machine-op-inspct: <=50K

| occupation = Adm-clerical: <=50K

| occupation = Farming-fishing: <=50K

| occupation = Transport-moving: <=50K

education = HS-grad

| relationship = Wife

| | occupation = Other-service

| | | workclass = Private: <=50K

| | | workclass = Local-gov: >50K

| | occupation = Sales: <=50K

| | occupation = Machine-op-inspct: <=50K

| | occupation = Adm-clerical: >50K

| relationship = Own-child: <=50K

| relationship = Husband

| | occupation = Tech-support: <=50K

| | occupation = Craft-repair

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc: <=50K

| | | workclass = Self-emp-inc: >50K

| | | workclass = Local-gov: <=50K

| | occupation = Other-service: <=50K

| | occupation = Sales

| | | workclass = Private: <=50K

| | | workclass = Self-emp-inc: <=50K

| | | workclass = State-gov: <=50K

| | occupation = Exec-managerial: <=50K

| | occupation = Handlers-cleaners: <=50K

| | occupation = Machine-op-inspct

| | | native-country = United-States

| | | | race = White: <=50K

| | | | race = Amer-Indian-Eskimo: <=50K

| | | native-country = Italy: >50K

| | occupation = Adm-clerical

| | | workclass = Private: <=50K

| | | workclass = Federal-gov: >50K

| | occupation = Farming-fishing

| | | workclass = Private: <=50K

| | | workclass = Self-emp-not-inc

| | | | race = White: >50K

| | | | race = Asian-Pac-Islander: <=50K

| | occupation = Transport-moving

| | | workclass = Private: <=50K

| | | workclass = Local-gov: <=50K

| relationship = Not-in-family: <=50K

| relationship = Other-relative: <=50K

| relationship = Unmarried: <=50K

education = Prof-school: >50K

education = Assoc-acdm

| occupation = Sales: <=50K

| occupation = Exec-managerial: >50K

| occupation = Prof-specialty: <=50K

| occupation = Handlers-cleaners: <=50K

| occupation = Adm-clerical

| | workclass = Private: <=50K

| | workclass = Federal-gov: >50K

| occupation = Farming-fishing: >50K

education = Assoc-voc

| relationship = Wife: <=50K

| relationship = Own-child: <=50K

| relationship = Husband

| | workclass = Private: >50K

| | workclass = Federal-gov: <=50K

| relationship = Not-in-family: <=50K

| relationship = Unmarried: <=50K

education = 9th: <=50K

education = 7th-8th: <=50K

education = 12th

| occupation = Craft-repair: <=50K

| occupation = Prof-specialty: >50K

education = Masters

| occupation = Tech-support: <=50K

| occupation = Sales: >50K

| occupation = Exec-managerial: >50K

| occupation = Prof-specialty

| | relationship = Wife: >50K

| | relationship = Own-child: >50K

| | relationship = Husband

| | | workclass = Private

| | | | race = White: >50K

| | | | race = Black: >50K

| | | workclass = Self-emp-not-inc: >50K

| | relationship = Not-in-family: <=50K

| | relationship = Unmarried: <=50K

| occupation = Protective-serv: >50K

education = 1st-4th: <=50K

education = 10th

| workclass = Private: <=50K

| workclass = Self-emp-not-inc: >50K

| workclass = Local-gov: <=50K

education = Doctorate

| workclass = Private

| | marital-status = Married-civ-spouse: >50K

| | marital-status = Never-married: <=50K

| workclass = Self-emp-not-inc: <=50K

| workclass = Federal-gov: >50K

| workclass = Local-gov: <=50K

education = 5th-6th: <=50K
1   2   3   4   5   6

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