The data is related with direct marketing campaigns (phone calls) of a Portuguese banking institution. The classification goal is to predict if the client will subscribe a term deposit (variable y).

Data available at UCI machine learning repository here

Citation Request: [Moro et al., 2014] S. Moro, P. Cortez and P. Rita. A Data-Driven Approach to Predict the Success of Bank Telemarketing. Decision Support Systems, Elsevier, 62:22-31, June 2014

Input variables: The data is related with direct marketing campaigns of a Portuguese banking institution. The marketing campaigns were based on phone calls. Often, more than one contact to the same client was required, in order to access if the product (bank term deposit) would be (or not) subscribed.

The classification goal is to predict if the client will subscribe a term deposit (variable y).

  1. Number of Instances: 45211 for bank-full.csv (4521 for bank.csv)

  2. Number of Attributes: 16 + output attribute.

  3. Attribute information:

For more information, read [Moro et al., 2011].

** Input variables:**

** bank client data:**

    • age (numeric)
    • job : type of job (categorical:“admin.”,“unknown”,“unemployed”,“management”,“housemaid”,“entrepreneur”,“student”, “blue-collar”,“self-employed”,“retired”,“technician”,“services”)
    • marital : marital status (categorical: “married”,“divorced”,“single”; note: “divorced” means divorced or widowed)
    • education (categorical: “unknown”,“secondary”,“primary”,“tertiary”)
    • default: has credit in default? (binary: “yes”,“no”)
    • balance: average yearly balance, in euros (numeric)
    • housing: has housing loan? (binary: “yes”,“no”)
    • loan: has personal loan? (binary: “yes”,“no”)

related with the last contact of the current campaign:

    • contact: contact communication type (categorical: “unknown”,“telephone”,“cellular”)
    • day: last contact day of the month (numeric)
    • month: last contact month of year (categorical: “jan”, “feb”, “mar”, …, “nov”, “dec”)
    • duration: last contact duration, in seconds (numeric) # other attributes:
    • campaign: number of contacts performed during this campaign and for this client (numeric, includes last contact)
    • pdays: number of days that passed by after the client was last contacted from a previous campaign (numeric, -1 means client was not previously contacted)
    • previous: number of contacts performed before this campaign and for this client (numeric)
    • poutcome: outcome of the previous marketing campaign (categorical: “unknown”,“other”,“failure”,“success”)

Output variable (desired target): 17. - y - has the client subscribed a term deposit? (binary: “yes”,“no”)

  1. Missing Attribute Values: None
pacman::p_load("lubridate", "dplyr", "magrittr")
library(rio)
library(doParallel)
library(viridis)
library(RColorBrewer)
library(tidyverse)
library(ggthemes)
library(knitr)
library(tidyverse)
library(caret)
library(plotly)
library(lime)
require(xgboost)
require(Matrix)
library(DiagrammeR)
drat:::addRepo("dmlc")
# Calculate the number of cores
no_cores <- detectCores() - 1
cl<-makeCluster(no_cores)
registerDoParallel(cl)
setwd("/Users/nanaakwasiabayieboateng/Documents/memphisclassesbooks/DataMiningscience")
#load excel file with rio
Data<- rio::import("/Users/nanaakwasiabayieboateng/Documents/memphisclassesbooks/DataMiningscience/Anomalydetection/bank/bank-full.csv")
Data%>%head
#%>%kable()
summary(Data)
      age            job              marital           education           default         
 Min.   :18.00   Length:45211       Length:45211       Length:45211       Length:45211      
 1st Qu.:33.00   Class :character   Class :character   Class :character   Class :character  
 Median :39.00   Mode  :character   Mode  :character   Mode  :character   Mode  :character  
 Mean   :40.94                                                                              
 3rd Qu.:48.00                                                                              
 Max.   :95.00                                                                              
    balance         housing              loan             contact               day       
 Min.   : -8019   Length:45211       Length:45211       Length:45211       Min.   : 1.00  
 1st Qu.:    72   Class :character   Class :character   Class :character   1st Qu.: 8.00  
 Median :   448   Mode  :character   Mode  :character   Mode  :character   Median :16.00  
 Mean   :  1362                                                            Mean   :15.81  
 3rd Qu.:  1428                                                            3rd Qu.:21.00  
 Max.   :102127                                                            Max.   :31.00  
    month              duration         campaign          pdays          previous       
 Length:45211       Min.   :   0.0   Min.   : 1.000   Min.   : -1.0   Min.   :  0.0000  
 Class :character   1st Qu.: 103.0   1st Qu.: 1.000   1st Qu.: -1.0   1st Qu.:  0.0000  
 Mode  :character   Median : 180.0   Median : 2.000   Median : -1.0   Median :  0.0000  
                    Mean   : 258.2   Mean   : 2.764   Mean   : 40.2   Mean   :  0.5803  
                    3rd Qu.: 319.0   3rd Qu.: 3.000   3rd Qu.: -1.0   3rd Qu.:  0.0000  
                    Max.   :4918.0   Max.   :63.000   Max.   :871.0   Max.   :275.0000  
   poutcome              y            
 Length:45211       Length:45211      
 Class :character   Class :character  
 Mode  :character   Mode  :character  
                                      
                                      
                                      

There are no missing observations in the data.

#==================================================================
#check the number of missing rows
#==================================================================
colSums(is.na.data.frame(Data))
      age       job   marital education   default   balance   housing      loan   contact       day 
        0         0         0         0         0         0         0         0         0         0 
    month  duration  campaign     pdays  previous  poutcome         y 
        0         0         0         0         0         0         0 

Exploratory Data Analysis

#==================================================================
# descriptive/summary statistics
#==================================================================
Hmisc::describe.data.frame(Data)   
Data 

 17  Variables      45211  Observations
--------------------------------------------------------------------------------------------------------
age 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0       77    0.999    40.94    11.87       27       29       33       39       48 
     .90      .95 
      56       59 

lowest : 18 19 20 21 22, highest: 90 92 93 94 95
--------------------------------------------------------------------------------------------------------
job 
       n  missing distinct 
   45211        0       12 
                                                                                              
Value             admin.   blue-collar  entrepreneur     housemaid    management       retired
Frequency           5171          9732          1487          1240          9458          2264
Proportion         0.114         0.215         0.033         0.027         0.209         0.050
                                                                                              
Value      self-employed      services       student    technician    unemployed       unknown
Frequency           1579          4154           938          7597          1303           288
Proportion         0.035         0.092         0.021         0.168         0.029         0.006
--------------------------------------------------------------------------------------------------------
marital 
       n  missing distinct 
   45211        0        3 
                                     
Value      divorced  married   single
Frequency      5207    27214    12790
Proportion    0.115    0.602    0.283
--------------------------------------------------------------------------------------------------------
education 
       n  missing distinct 
   45211        0        4 
                                                  
Value        primary secondary  tertiary   unknown
Frequency       6851     23202     13301      1857
Proportion     0.152     0.513     0.294     0.041
--------------------------------------------------------------------------------------------------------
default 
       n  missing distinct 
   45211        0        2 
                      
Value         no   yes
Frequency  44396   815
Proportion 0.982 0.018
--------------------------------------------------------------------------------------------------------
balance 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0     7168        1     1362     2054     -172        0       72      448     1428 
     .90      .95 
    3574     5768 

lowest :  -8019  -6847  -4057  -3372  -3313, highest:  66721  71188  81204  98417 102127
--------------------------------------------------------------------------------------------------------
housing 
       n  missing distinct 
   45211        0        2 
                      
Value         no   yes
Frequency  20081 25130
Proportion 0.444 0.556
--------------------------------------------------------------------------------------------------------
loan 
       n  missing distinct 
   45211        0        2 
                      
Value         no   yes
Frequency  37967  7244
Proportion  0.84  0.16
--------------------------------------------------------------------------------------------------------
contact 
       n  missing distinct 
   45211        0        3 
                                        
Value       cellular telephone   unknown
Frequency      29285      2906     13020
Proportion     0.648     0.064     0.288
--------------------------------------------------------------------------------------------------------
day 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0       31    0.999    15.81    9.576        3        5        8       16       21 
     .90      .95 
      28       29 

lowest :  1  2  3  4  5, highest: 27 28 29 30 31
--------------------------------------------------------------------------------------------------------
month 
       n  missing distinct 
   45211        0       12 
                                                                                  
Value        apr   aug   dec   feb   jan   jul   jun   mar   may   nov   oct   sep
Frequency   2932  6247   214  2649  1403  6895  5341   477 13766  3970   738   579
Proportion 0.065 0.138 0.005 0.059 0.031 0.153 0.118 0.011 0.304 0.088 0.016 0.013
--------------------------------------------------------------------------------------------------------
duration 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0     1573        1    258.2    235.4       35       58      103      180      319 
     .90      .95 
     548      751 

lowest :    0    1    2    3    4, highest: 3366 3422 3785 3881 4918
--------------------------------------------------------------------------------------------------------
campaign 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0       48    0.918    2.764    2.383        1        1        1        2        3 
     .90      .95 
       5        8 

lowest :  1  2  3  4  5, highest: 50 51 55 58 63
--------------------------------------------------------------------------------------------------------
pdays 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0      559    0.454     40.2    71.61       -1       -1       -1       -1       -1 
     .90      .95 
     185      317 

lowest :  -1   1   2   3   4, highest: 838 842 850 854 871
--------------------------------------------------------------------------------------------------------
previous 
       n  missing distinct     Info     Mean      Gmd      .05      .10      .25      .50      .75 
   45211        0       41    0.454   0.5803    1.044        0        0        0        0        0 
     .90      .95 
       2        3 

lowest :   0   1   2   3   4, highest:  41  51  55  58 275
--------------------------------------------------------------------------------------------------------
poutcome 
       n  missing distinct 
   45211        0        4 
                                          
Value      failure   other success unknown
Frequency     4901    1840    1511   36959
Proportion   0.108   0.041   0.033   0.817
--------------------------------------------------------------------------------------------------------
y 
       n  missing distinct 
   45211        0        2 
                      
Value         no   yes
Frequency  39922  5289
Proportion 0.883 0.117
--------------------------------------------------------------------------------------------------------
#describe(Data)
#==================================================================
# Histograms
#==================================================================
theme_set(theme_economist_white())
#ggplot(Data) + geom_boxplot(aes(x =age,y=duration,color=y))
ggplot(Data, aes(x ="",y=age, fill=y))+ geom_boxplot()+labs(x="age",y="")

#ggplotly(p)
ggplot(Data, aes(x =duration, fill=y))+ geom_histogram(bins = 30)

#ggplotly()
ggplot(Data, aes(x =age, fill=y))+ geom_histogram(bins = 30)

# ggplotly()
 
ggplot(Data, aes(x =day, fill=y))+ geom_histogram(bins = 30)

#ggplotly()
ggplot(Data, aes(x =balance, fill=y))+ geom_histogram(bins = 30)

#ggplotly()
ggplot(Data, aes(x =age, fill=y))+ geom_histogram(bins = 30)

# ggplotly() 
 # geom_density(alpha=1/3,color="red") + scale_fill_hue()
ggplot(Data, aes(x=age, fill=y)) + geom_density(alpha=1/3) + scale_fill_hue()

ggplot(Data, aes(x=marital,previous)) +geom_violin()

ggplot(Data, aes(x=education,previous)) +geom_violin()

#ggplot(Data, aes(x="",y =loan, fill=y)) + geom_histogram()
ggplot(Data, aes(x ="",y=age, fill=y))+ geom_violin(adjust = .5,draw_quantiles = c(0.25, 0.5, 0.75))+labs(x="age",y="")

ggplotly()

NA
NA

Convert character variables to factor variables.This is neccessary for the caret package to train the models we are interested in later.

theme_set(theme_bw())
Data<-Data %>% mutate_if(is.character, as.factor) 
str(Data)
'data.frame':   45211 obs. of  17 variables:
 $ age      : int  58 44 33 47 33 35 28 42 58 43 ...
 $ job      : Factor w/ 12 levels "admin.","blue-collar",..: 5 10 3 2 12 5 5 3 6 10 ...
 $ marital  : Factor w/ 3 levels "divorced","married",..: 2 3 2 2 3 2 3 1 2 3 ...
 $ education: Factor w/ 4 levels "primary","secondary",..: 3 2 2 4 4 3 3 3 1 2 ...
 $ default  : Factor w/ 2 levels "no","yes": 1 1 1 1 1 1 1 2 1 1 ...
 $ balance  : int  2143 29 2 1506 1 231 447 2 121 593 ...
 $ housing  : Factor w/ 2 levels "no","yes": 2 2 2 2 1 2 2 2 2 2 ...
 $ loan     : Factor w/ 2 levels "no","yes": 1 1 2 1 1 1 2 1 1 1 ...
 $ contact  : Factor w/ 3 levels "cellular","telephone",..: 3 3 3 3 3 3 3 3 3 3 ...
 $ day      : int  5 5 5 5 5 5 5 5 5 5 ...
 $ month    : Factor w/ 12 levels "apr","aug","dec",..: 9 9 9 9 9 9 9 9 9 9 ...
 $ duration : int  261 151 76 92 198 139 217 380 50 55 ...
 $ campaign : int  1 1 1 1 1 1 1 1 1 1 ...
 $ pdays    : int  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
 $ previous : int  0 0 0 0 0 0 0 0 0 0 ...
 $ poutcome : Factor w/ 4 levels "failure","other",..: 4 4 4 4 4 4 4 4 4 4 ...
 $ y        : Factor w/ 2 levels "no","yes": 1 1 1 1 1 1 1 1 1 1 ...
ggplot(Data, aes(x =y))+ geom_histogram(stat="count")+labs(x="Term Deposit")

#==================================================================
#Converting outcome variable to numeric
#==================================================================
Data$y<-ifelse(Data$y=='no',0,1)
str(Data)
'data.frame':   45211 obs. of  17 variables:
 $ age      : int  58 44 33 47 33 35 28 42 58 43 ...
 $ job      : Factor w/ 12 levels "admin.","blue-collar",..: 5 10 3 2 12 5 5 3 6 10 ...
 $ marital  : Factor w/ 3 levels "divorced","married",..: 2 3 2 2 3 2 3 1 2 3 ...
 $ education: Factor w/ 4 levels "primary","secondary",..: 3 2 2 4 4 3 3 3 1 2 ...
 $ default  : Factor w/ 2 levels "no","yes": 1 1 1 1 1 1 1 2 1 1 ...
 $ balance  : int  2143 29 2 1506 1 231 447 2 121 593 ...
 $ housing  : Factor w/ 2 levels "no","yes": 2 2 2 2 1 2 2 2 2 2 ...
 $ loan     : Factor w/ 2 levels "no","yes": 1 1 2 1 1 1 2 1 1 1 ...
 $ contact  : Factor w/ 3 levels "cellular","telephone",..: 3 3 3 3 3 3 3 3 3 3 ...
 $ day      : int  5 5 5 5 5 5 5 5 5 5 ...
 $ month    : Factor w/ 12 levels "apr","aug","dec",..: 9 9 9 9 9 9 9 9 9 9 ...
 $ duration : int  261 151 76 92 198 139 217 380 50 55 ...
 $ campaign : int  1 1 1 1 1 1 1 1 1 1 ...
 $ pdays    : int  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
 $ previous : int  0 0 0 0 0 0 0 0 0 0 ...
 $ poutcome : Factor w/ 4 levels "failure","other",..: 4 4 4 4 4 4 4 4 4 4 ...
 $ y        : num  0 0 0 0 0 0 0 0 0 0 ...
glimpse(Data)
Observations: 45,211
Variables: 17
$ age       <int> 58, 44, 33, 47, 33, 35, 28, 42, 58, 43, 41, 29, 53, 58, 57, 51, 45, 57, 60, 33, 2...
$ job       <fctr> management, technician, entrepreneur, blue-collar, unknown, management, manageme...
$ marital   <fctr> married, single, married, married, single, married, single, divorced, married, s...
$ education <fctr> tertiary, secondary, secondary, unknown, unknown, tertiary, tertiary, tertiary, ...
$ default   <fctr> no, no, no, no, no, no, no, yes, no, no, no, no, no, no, no, no, no, no, no, no,...
$ balance   <int> 2143, 29, 2, 1506, 1, 231, 447, 2, 121, 593, 270, 390, 6, 71, 162, 229, 13, 52, 6...
$ housing   <fctr> yes, yes, yes, yes, no, yes, yes, yes, yes, yes, yes, yes, yes, yes, yes, yes, y...
$ loan      <fctr> no, no, yes, no, no, no, yes, no, no, no, no, no, no, no, no, no, no, no, no, no...
$ contact   <fctr> unknown, unknown, unknown, unknown, unknown, unknown, unknown, unknown, unknown,...
$ day       <int> 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, ...
$ month     <fctr> may, may, may, may, may, may, may, may, may, may, may, may, may, may, may, may, ...
$ duration  <int> 261, 151, 76, 92, 198, 139, 217, 380, 50, 55, 222, 137, 517, 71, 174, 353, 98, 38...
$ campaign  <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
$ pdays     <int> -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -...
$ previous  <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
$ poutcome  <fctr> unknown, unknown, unknown, unknown, unknown, unknown, unknown, unknown, unknown,...
$ y         <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

Convert Categorical varialbes to dummy variables using either Model.matrix or sparse.model,matrix. The \(-1\) in the formula removes the first column which is all ones.

predictors<-setdiff(names(Data),Data$y)
#names(Data)
predictors<-names(Data[,-17])
#paste0(predictors,sep="",collapse = "+ ")
#paste("~",paste0(predictors,sep="",collapse = "+ "))
#as.formula(paste("y~",paste0(predictors,sep="",collapse = "+ ")))
d1<-model.matrix(y~.-1, Data)
d1b<-Matrix::sparse.model.matrix(y~.-1, Data)
head(d1)
  age jobadmin. jobblue-collar jobentrepreneur jobhousemaid jobmanagement jobretired jobself-employed
1  58         0              0               0            0             1          0                0
2  44         0              0               0            0             0          0                0
3  33         0              0               1            0             0          0                0
4  47         0              1               0            0             0          0                0
5  33         0              0               0            0             0          0                0
6  35         0              0               0            0             1          0                0
  jobservices jobstudent jobtechnician jobunemployed jobunknown maritalmarried maritalsingle
1           0          0             0             0          0              1             0
2           0          0             1             0          0              0             1
3           0          0             0             0          0              1             0
4           0          0             0             0          0              1             0
5           0          0             0             0          1              0             1
6           0          0             0             0          0              1             0
  educationsecondary educationtertiary educationunknown defaultyes balance housingyes loanyes
1                  0                 1                0          0    2143          1       0
2                  1                 0                0          0      29          1       0
3                  1                 0                0          0       2          1       1
4                  0                 0                1          0    1506          1       0
5                  0                 0                1          0       1          0       0
6                  0                 1                0          0     231          1       0
  contacttelephone contactunknown day monthaug monthdec monthfeb monthjan monthjul monthjun monthmar
1                0              1   5        0        0        0        0        0        0        0
2                0              1   5        0        0        0        0        0        0        0
3                0              1   5        0        0        0        0        0        0        0
4                0              1   5        0        0        0        0        0        0        0
5                0              1   5        0        0        0        0        0        0        0
6                0              1   5        0        0        0        0        0        0        0
  monthmay monthnov monthoct monthsep duration campaign pdays previous poutcomeother poutcomesuccess
1        1        0        0        0      261        1    -1        0             0               0
2        1        0        0        0      151        1    -1        0             0               0
3        1        0        0        0       76        1    -1        0             0               0
4        1        0        0        0       92        1    -1        0             0               0
5        1        0        0        0      198        1    -1        0             0               0
6        1        0        0        0      139        1    -1        0             0               0
  poutcomeunknown
1               1
2               1
3               1
4               1
5               1
6               1
head(d1b)
6 x 43 sparse Matrix of class "dgCMatrix"
   [[ suppressing 43 column names ‘age’, ‘jobadmin.’, ‘jobblue-collar’ ... ]]
                                                                                              
1 58 . . . . 1 . . . . . . . 1 . . 1 . . 2143 1 . . 1 5 . . . . . . . 1 . . . 261 1 -1 . . . 1
2 44 . . . . . . . . . 1 . . . 1 1 . . .   29 1 . . 1 5 . . . . . . . 1 . . . 151 1 -1 . . . 1
3 33 . . 1 . . . . . . . . . 1 . 1 . . .    2 1 1 . 1 5 . . . . . . . 1 . . .  76 1 -1 . . . 1
4 47 . 1 . . . . . . . . . . 1 . . . 1 . 1506 1 . . 1 5 . . . . . . . 1 . . .  92 1 -1 . . . 1
5 33 . . . . . . . . . . . 1 . 1 . . 1 .    1 . . . 1 5 . . . . . . . 1 . . . 198 1 -1 . . . 1
6 35 . . . . 1 . . . . . . . 1 . . 1 . .  231 1 . . 1 5 . . . . . . . 1 . . . 139 1 -1 . . . 1
names(d1b)
NULL
#index<-createDataPartition(transformed$y,p=0.70, list=FALSE)
#trainSet<-transformed[index,]
#testSet<-transformed[-index,]
One-hot encoding

Next step, we will transform the categorical data to dummy variables. This is the one-hot encoding step.

The purpose is to transform each value of each categorical feature in a binary feature {0, 1}. The dummy conversion results in 42 variables.

#==================================================================
#convert categorical variables  to numeric variables
#==================================================================
dmy <- dummyVars(" ~ .", data = Data,fullRank = T)
transformed <- data.frame(predict(dmy, newdata =Data))
closing unused connection 23 (<-localhost:11246)closing unused connection 22 (<-localhost:11246)closing unused connection 21 (<-localhost:11246)closing unused connection 20 (<-localhost:11246)closing unused connection 19 (<-localhost:11246)closing unused connection 18 (<-localhost:11246)closing unused connection 17 (<-localhost:11246)
#save(transformed,file="transformed.RData")
 
load("transformed.RData")
#Checking the structure of transformed train file
str(transformed)
'data.frame':   45211 obs. of  43 variables:
 $ age               : num  58 44 33 47 33 35 28 42 58 43 ...
 $ jobblue.collar    : num  0 0 0 1 0 0 0 0 0 0 ...
 $ jobentrepreneur   : num  0 0 1 0 0 0 0 1 0 0 ...
 $ jobhousemaid      : num  0 0 0 0 0 0 0 0 0 0 ...
 $ jobmanagement     : num  1 0 0 0 0 1 1 0 0 0 ...
 $ jobretired        : num  0 0 0 0 0 0 0 0 1 0 ...
 $ jobself.employed  : num  0 0 0 0 0 0 0 0 0 0 ...
 $ jobservices       : num  0 0 0 0 0 0 0 0 0 0 ...
 $ jobstudent        : num  0 0 0 0 0 0 0 0 0 0 ...
 $ jobtechnician     : num  0 1 0 0 0 0 0 0 0 1 ...
 $ jobunemployed     : num  0 0 0 0 0 0 0 0 0 0 ...
 $ jobunknown        : num  0 0 0 0 1 0 0 0 0 0 ...
 $ maritalmarried    : num  1 0 1 1 0 1 0 0 1 0 ...
 $ maritalsingle     : num  0 1 0 0 1 0 1 0 0 1 ...
 $ educationsecondary: num  0 1 1 0 0 0 0 0 0 1 ...
 $ educationtertiary : num  1 0 0 0 0 1 1 1 0 0 ...
 $ educationunknown  : num  0 0 0 1 1 0 0 0 0 0 ...
 $ defaultyes        : num  0 0 0 0 0 0 0 1 0 0 ...
 $ balance           : num  2143 29 2 1506 1 ...
 $ housingyes        : num  1 1 1 1 0 1 1 1 1 1 ...
 $ loanyes           : num  0 0 1 0 0 0 1 0 0 0 ...
 $ contacttelephone  : num  0 0 0 0 0 0 0 0 0 0 ...
 $ contactunknown    : num  1 1 1 1 1 1 1 1 1 1 ...
 $ day               : num  5 5 5 5 5 5 5 5 5 5 ...
 $ monthaug          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthdec          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthfeb          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthjan          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthjul          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthjun          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthmar          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthmay          : num  1 1 1 1 1 1 1 1 1 1 ...
 $ monthnov          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthoct          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ monthsep          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ duration          : num  261 151 76 92 198 139 217 380 50 55 ...
 $ campaign          : num  1 1 1 1 1 1 1 1 1 1 ...
 $ pdays             : num  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ...
 $ previous          : num  0 0 0 0 0 0 0 0 0 0 ...
 $ poutcomeother     : num  0 0 0 0 0 0 0 0 0 0 ...
 $ poutcomesuccess   : num  0 0 0 0 0 0 0 0 0 0 ...
 $ poutcomeunknown   : num  1 1 1 1 1 1 1 1 1 1 ...
 $ y                 : num  0 0 0 0 0 0 0 0 0 0 ...
#==================================================================
#Converting the dependent variable back to categorical
#==================================================================
transformed$y<-as.factor(transformed$y)
#==================================================================
#Spliting training set into two parts based on outcome: 70% and 30%
#==================================================================
index<-createDataPartition(transformed$y,p=0.70, list=FALSE)
trainSet<-transformed[index,]
testSet<-transformed[-index,]
outcomeName<-'y'
predictors<-names(trainSet)[!names(trainSet) %in% outcomeName]
predictors
 [1] "age"                "jobblue.collar"     "jobentrepreneur"    "jobhousemaid"      
 [5] "jobmanagement"      "jobretired"         "jobself.employed"   "jobservices"       
 [9] "jobstudent"         "jobtechnician"      "jobunemployed"      "jobunknown"        
[13] "maritalmarried"     "maritalsingle"      "educationsecondary" "educationtertiary" 
[17] "educationunknown"   "defaultyes"         "balance"            "housingyes"        
[21] "loanyes"            "contacttelephone"   "contactunknown"     "day"               
[25] "monthaug"           "monthdec"           "monthfeb"           "monthjan"          
[29] "monthjul"           "monthjun"           "monthmar"           "monthmay"          
[33] "monthnov"           "monthoct"           "monthsep"           "duration"          
[37] "campaign"           "pdays"              "previous"           "poutcomeother"     
[41] "poutcomesuccess"    "poutcomeunknown"   
dim(trainSet)
[1] 31649    43
dim(testSet)
[1] 13562    43

The training data has 31649 rows and 43 columns whereas the test data has 13562 rows and 43 columns. The number of features 43, is soo high that feature engineering is neccessary to reduce overfitting and complexity of the models we are going to build.

Recursive Feature Selection

#==================================================================
#Feature selection using rfe in caret(recursive feature extraction)
#predictors<-names(trainSet)[!names(trainSet) %in% outcomeName]
#Alternatively
#predictors<-setdiff(names(trainSet),outcomeName)
#==================================================================
library(randomForest)
# 
# control <- rfeControl(functions = rfFuncs,
#                       method = "repeatedcv",
#                       repeats = 3,
#                       verbose = FALSE,
#                       allowParallel = TRUE)
# outcomeName<-'y'
# 
# predictors<-names(trainSet)[!names(trainSet) %in% outcomeName]
# 
# feature_select <- rfe(trainSet[,predictors], trainSet[,outcomeName],
#                          rfeControl = control)
# 
# 
# 
# 
# 
# table(trainSet$y)
# 
# 
# feature_select
# 
# 
# names(feature_select)
# 
# 
# 
# predictors(feature_select)
# 
# summary(feature_select)
# 
# feature_select[ "bestSubset"]
#save(feature_select,file="feature_select.RData")
 
load("feature_select.RData")
#The top 5 variables (out of 42):
#print("The top 5 variables (out of 42)\n")
cat("The top 5 variables (out of 42)\n")
The top 5 variables (out of 42)
cat("duration, poutcomesuccess, monthmar, contactunknown, housingyes\n")   
duration, poutcomesuccess, monthmar, contactunknown, housingyes
predictors(feature_select)
 [1] "duration"        "poutcomesuccess" "monthmar"        "contactunknown"  "housingyes"     
 [6] "age"             "monthoct"        "day"             "monthsep"        "pdays"          
[11] "monthjul"        "monthaug"        "monthmay"        "monthjun"        "monthdec"       
[16] "campaign"       
#===================================================================================
# plot variable selection
#===================================================================================
trellis.par.set(caretTheme())
plot(feature_select, type = c( "o","g"))

About 8(14 variables ) features provides the optimal accuracy for training.

The top 5 variables provides an accuracy of about 90% for the data. The remaining 36 variables add less than 0.1 . This is the advantage of feature engineering. It helps to reduce complexity in the model, reduce overfitting and also computationaly time.

#duration, poutcomesuccess, monthmar, contactunknown, housingyes
Data[,c("duration","poutcome","month","contact","housing" )]%>%head()
names(Data)
 [1] "age"       "job"       "marital"   "education" "default"   "balance"   "housing"   "loan"     
 [9] "contact"   "day"       "month"     "duration"  "campaign"  "pdays"     "previous"  "poutcome" 
[17] "y"        
#Data$y<-if_else(Data$y=="y",1,0)
Data$y<-ifelse(Data$y=='no',0,1)
index=sample(x=1:2, size=dim(Data)[1], replace = TRUE, prob = c(0.3,0.7))
#datanew<-Matrix::sparse.model.matrix(~.-1,Data[,c("duration","poutcome","month","contact","housing" )])
train=Data[index==2,]
test=Data[index==1,]
train_features<-Matrix::sparse.model.matrix(~.-1,train[,c("duration","poutcome","month","contact","housing" )])
#train_label<-Matrix::sparse.model.matrix(~-1+train[,c("y" )])
train_label<-train[,"y"]
test_features<-Matrix::sparse.model.matrix(~.-1,test[,c("duration","poutcome","month","contact","housing" )])
#train_label<-if_else(train_label=="y",1,0)
test_label<-test[,"y"]
#dim(train)
#dim(test)
#train_features<-model.matrix(~.-1,train[,c("duration","poutcome","month","contact","housing" )])
#train_label<-data.frame(if_else(train_label=="y",1,0))
dim(train_features)
[1] 31690    19
dim(train_label)
NULL
train_features%>%dim()
[1] 31690    19
train_label%>%length()
[1] 31690
head(Data)
#class(train)

The test data has 13542 rows whereas the training data has 31669 rows.

#train_features<-matrix(data.frame(train[,c("duration","poutcome","month","contact","housing" )]))
#train_label<-matrix(train_label)
class(train_label)
[1] "numeric"
class(train_label)
[1] "numeric"
#train_features<-lapply(train_features, as.numeric)
#train_label<-lapply(train_label, as.numeric)
#train_features<-as.numeric(train_features)
#train_label<-lapply(train_label,as.numeric)
dim(train_features)
[1] 31690    19
length(train_label)
[1] 31690
# Train the xgboost model using the "xgboost" function
dtrain = xgb.DMatrix(data =train_features,label=train_label)
xgModel = xgboost(data = dtrain, nround = 5, objective = "binary:logistic")
[1] train-error:0.000000 
[2] train-error:0.000000 
[3] train-error:0.000000 
[4] train-error:0.000000 
[5] train-error:0.000000 
cv = xgb.cv(data = dtrain, nround = 10, nfold = 5, objective = "binary:logistic")
[1] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[2] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[3] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[4] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[5] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[6] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[7] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[8] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[9] train-error:0.000000+0.000000   test-error:0.000000+0.000000 
[10]    train-error:0.000000+0.000000   test-error:0.000000+0.000000 
# save and load model
xgb.save(xgModel, 'xgModel')
[1] TRUE
bst <- xgb.load('xgModel')
# Make the predictions on the test data
preds = predict(xgModel, test_features)
stopImplicitCluster()
---
title: "Predicting Bank loan  Term Deposit"
output: html_notebook
df_print: paged
author: "Nana  Boateng"
Time: '`r Sys.time()`'
date: "`r format(Sys.time(), '%B %d, %Y')`"
---

The data is related with direct marketing campaigns (phone calls) of a Portuguese banking institution. The classification goal is to predict if the client will subscribe a term deposit (variable y).


Data available at UCI machine learning repository [here](https://archive.ics.uci.edu/ml/datasets/bank+marketing) 

Citation Request:
[Moro et al., 2014] S. Moro, P. Cortez and P. Rita. A Data-Driven Approach to Predict the Success of Bank Telemarketing. Decision Support Systems, Elsevier, 62:22-31, June 2014




**Input variables:**
   The data is related with direct marketing campaigns of a Portuguese banking institution. 
   The marketing campaigns were based on phone calls. Often, more than one contact to the same client was required, in order to access if the product (bank term deposit) would be (or not) subscribed. 
   
   The classification goal is to predict if the client will subscribe a term deposit (variable y).

5. Number of Instances: 45211 for bank-full.csv (4521 for bank.csv)

6. Number of Attributes: 16 + output attribute.

7. Attribute information:

   For more information, read [Moro et al., 2011].

  ** Input variables:**
   
  ** bank client data:**
  
   1. - age (numeric)
   2. - job : type of job (categorical:"admin.","unknown","unemployed","management","housemaid","entrepreneur","student",
                                       "blue-collar","self-employed","retired","technician","services") 
   3. - marital : marital status (categorical: "married","divorced","single"; note: "divorced" means divorced or widowed)
  4. - education (categorical: "unknown","secondary","primary","tertiary")
  5. - default: has credit in default? (binary: "yes","no")
   6. - balance: average yearly balance, in euros (numeric) 
  7. - housing: has housing loan? (binary: "yes","no")
   8. - loan: has personal loan? (binary: "yes","no")
   
   **related with the last contact of the current campaign:**
   
  9. - contact: contact communication type (categorical: "unknown","telephone","cellular") 
  10. - day: last contact day of the month (numeric)
  11. - month: last contact month of year (categorical: "jan", "feb", "mar", ..., "nov", "dec")
  12. - duration: last contact duration, in seconds (numeric)
   # other attributes:
  13. - campaign: number of contacts performed during this campaign and for this client (numeric, includes last contact)
  14. - pdays: number of days that passed by after the client was last contacted from a previous campaign (numeric, -1 means client was not previously contacted)
  15. - previous: number of contacts performed before this campaign and for this client (numeric)
  16. - poutcome: outcome of the previous marketing campaign (categorical: "unknown","other","failure","success")

  Output variable (desired target):
  17. - y - has the client subscribed a term deposit? (binary: "yes","no")

8. Missing Attribute Values: None







```{r}

pacman::p_load("lubridate", "dplyr", "magrittr")

library(rio)
library(doParallel)
library(viridis)
library(RColorBrewer)
library(tidyverse)
library(ggthemes)
library(knitr)
library(tidyverse)
library(caret)
library(plotly)
library(lime)
require(xgboost)
require(Matrix)
library(DiagrammeR)
drat:::addRepo("dmlc")
# Calculate the number of cores
no_cores <- detectCores() - 1

cl<-makeCluster(no_cores)
registerDoParallel(cl)


setwd("/Users/nanaakwasiabayieboateng/Documents/memphisclassesbooks/DataMiningscience")
#load excel file with rio
Data<- rio::import("/Users/nanaakwasiabayieboateng/Documents/memphisclassesbooks/DataMiningscience/Anomalydetection/bank/bank-full.csv")

Data%>%head
#%>%kable()




```





```{r}

summary(Data)


```




There are no missing observations in the data.
```{r}
#==================================================================
#check the number of missing rows
#==================================================================

colSums(is.na.data.frame(Data))


```

*Exploratory Data Analysis*

```{r}
#==================================================================
# descriptive/summary statistics
#==================================================================



Hmisc::describe.data.frame(Data)   
#describe(Data)
```



```{r}
#==================================================================
# Histograms
#==================================================================
theme_set(theme_economist_white())

#ggplot(Data) + geom_boxplot(aes(x =age,y=duration,color=y))

ggplot(Data, aes(x ="",y=age, fill=y))+ geom_boxplot()+labs(x="age",y="")
#ggplotly(p)

ggplot(Data, aes(x =duration, fill=y))+ geom_histogram(bins = 30)
#ggplotly()

ggplot(Data, aes(x =age, fill=y))+ geom_histogram(bins = 30)
# ggplotly()
 
ggplot(Data, aes(x =day, fill=y))+ geom_histogram(bins = 30)
#ggplotly()

ggplot(Data, aes(x =balance, fill=y))+ geom_histogram(bins = 30)
#ggplotly()

ggplot(Data, aes(x =age, fill=y))+ geom_histogram(bins = 30)
# ggplotly() 
 # geom_density(alpha=1/3,color="red") + scale_fill_hue()

ggplot(Data, aes(x=age, fill=y)) + geom_density(alpha=1/3) + scale_fill_hue()


ggplot(Data, aes(x=marital,previous)) +geom_violin()

ggplot(Data, aes(x=education,previous)) +geom_violin()


#ggplot(Data, aes(x="",y =loan, fill=y)) + geom_histogram()

ggplot(Data, aes(x ="",y=age, fill=y))+ geom_violin(adjust = .5,draw_quantiles = c(0.25, 0.5, 0.75))+labs(x="age",y="")

ggplotly()
       

       
```






Convert character variables to factor variables.This is neccessary for the caret package to train the models we are interested in later.

```{r,warning=FALSE,message=FALSE}

theme_set(theme_bw())

Data<-Data %>% mutate_if(is.character, as.factor) 

str(Data)

ggplot(Data, aes(x =y))+ geom_histogram(stat="count")+labs(x="Term Deposit")

```


```{r}
#==================================================================

#Converting outcome variable to numeric
#==================================================================

Data$y<-ifelse(Data$y=='no',0,1)



str(Data)

glimpse(Data)
```


Convert Categorical varialbes to dummy variables using either  Model.matrix or sparse.model,matrix.
The $-1$ in the formula removes the first column which is all ones.

```{r}


predictors<-setdiff(names(Data),Data$y)

#names(Data)
predictors<-names(Data[,-17])

#paste0(predictors,sep="",collapse = "+ ")

#paste("~",paste0(predictors,sep="",collapse = "+ "))

#as.formula(paste("y~",paste0(predictors,sep="",collapse = "+ ")))

d1<-model.matrix(y~.-1, Data)

d1b<-Matrix::sparse.model.matrix(y~.-1, Data)




head(d1)

head(d1b)

names(d1b)

#index<-createDataPartition(transformed$y,p=0.70, list=FALSE)

#trainSet<-transformed[index,]

#testSet<-transformed[-index,]

```


##### One-hot encoding

Next step, we will transform the categorical data to dummy variables. This is the one-hot encoding step.

The purpose is to transform each value of each categorical feature in a binary feature {0, 1}.
The dummy conversion results in 42 variables. 
```{r}
#==================================================================
#convert categorical variables  to numeric variables
#==================================================================


dmy <- dummyVars(" ~ .", data = Data,fullRank = T)

transformed <- data.frame(predict(dmy, newdata =Data))

```

```{r}
#save(transformed,file="transformed.RData")
 
load("transformed.RData")

#Checking the structure of transformed train file

str(transformed)

```



```{r}
#==================================================================
#Converting the dependent variable back to categorical
#==================================================================

transformed$y<-as.factor(transformed$y)




```



```{r,message=FALSE,warning=FALSE}
#==================================================================
#Spliting training set into two parts based on outcome: 70% and 30%
#==================================================================

index<-createDataPartition(transformed$y,p=0.70, list=FALSE)

trainSet<-transformed[index,]

testSet<-transformed[-index,]

outcomeName<-'y'

predictors<-names(trainSet)[!names(trainSet) %in% outcomeName]

predictors


dim(trainSet)

dim(testSet)



```

The training data has 31649 rows and 43 columns whereas the test data has 13562 rows  and 43 columns. The number of features 43, is soo high that feature engineering is neccessary to reduce overfitting and complexity of the models we are going to build.



*Recursive Feature Selection*

```{r,warning=FALSE,message=FALSE}
#==================================================================
#Feature selection using rfe in caret(recursive feature extraction)
#predictors<-names(trainSet)[!names(trainSet) %in% outcomeName]
#Alternatively
#predictors<-setdiff(names(trainSet),outcomeName)
#==================================================================

library(randomForest)
# 
# control <- rfeControl(functions = rfFuncs,
#                       method = "repeatedcv",
#                       repeats = 3,
#                       verbose = FALSE,
#                       allowParallel = TRUE)
# outcomeName<-'y'
# 
# predictors<-names(trainSet)[!names(trainSet) %in% outcomeName]
# 
# feature_select <- rfe(trainSet[,predictors], trainSet[,outcomeName],
#                          rfeControl = control)
# 
# 
# 
# 
# 
# table(trainSet$y)
# 
# 
# feature_select
# 
# 
# names(feature_select)
# 
# 
# 
# predictors(feature_select)
# 
# summary(feature_select)
# 
# feature_select[ "bestSubset"]

```





```{r,warning=FALSE,message=FALSE}

#save(feature_select,file="feature_select.RData")
 
load("feature_select.RData")



```





```{r,warning=FALSE,message=FALSE}

#The top 5 variables (out of 42):
#print("The top 5 variables (out of 42)\n")
cat("The top 5 variables (out of 42)\n")
cat("duration, poutcomesuccess, monthmar, contactunknown, housingyes\n")   

predictors(feature_select)

```












```{r,warning=FALSE,message=FALSE}
#===================================================================================
# plot variable selection
#===================================================================================


trellis.par.set(caretTheme())

plot(feature_select, type = c( "o","g"))

```

About 8(14 variables ) features provides the optimal  accuracy for training.

The top 5 variables provides an accuracy of about  90% for the data. The remaining 36  variables add  less than 0.1 . This is the advantage of feature engineering. It helps to reduce complexity in the model, reduce overfitting and also computationaly time.



```{r,warning=FALSE,message=FALSE}
#duration, poutcomesuccess, monthmar, contactunknown, housingyes

Data[,c("duration","poutcome","month","contact","housing" )]%>%head()

names(Data)

#Data$y<-if_else(Data$y=="y",1,0)

Data$y<-ifelse(Data$y=='no',0,1)

index=sample(x=1:2, size=dim(Data)[1], replace = TRUE, prob = c(0.3,0.7))



#datanew<-Matrix::sparse.model.matrix(~.-1,Data[,c("duration","poutcome","month","contact","housing" )])

train=Data[index==2,]

test=Data[index==1,]



train_features<-Matrix::sparse.model.matrix(~.-1,train[,c("duration","poutcome","month","contact","housing" )])




#train_label<-Matrix::sparse.model.matrix(~-1+train[,c("y" )])



train_label<-train[,"y"]



test_features<-Matrix::sparse.model.matrix(~.-1,test[,c("duration","poutcome","month","contact","housing" )])




#train_label<-if_else(train_label=="y",1,0)

test_label<-test[,"y"]

#dim(train)

#dim(test)




#train_features<-model.matrix(~.-1,train[,c("duration","poutcome","month","contact","housing" )])

#train_label<-data.frame(if_else(train_label=="y",1,0))


dim(train_features)

dim(train_label)

train_features%>%dim()

train_label%>%length()

head(Data)

#class(train)

```

The test data has 13542 rows whereas the training data has 31669 rows.

```{r}


#train_features<-matrix(data.frame(train[,c("duration","poutcome","month","contact","housing" )]))



#train_label<-matrix(train_label)

class(train_label)

class(train_label)



#train_features<-lapply(train_features, as.numeric)

#train_label<-lapply(train_label, as.numeric)

#train_features<-as.numeric(train_features)


#train_label<-lapply(train_label,as.numeric)

dim(train_features)

length(train_label)

# Train the xgboost model using the "xgboost" function
dtrain = xgb.DMatrix(data =train_features,label=train_label)

xgModel = xgboost(data = dtrain, nround = 5, objective = "binary:logistic")




cv = xgb.cv(data = dtrain, nround = 10, nfold = 5, objective = "binary:logistic")


# save and load model
xgb.save(xgModel, 'xgModel')
bst <- xgb.load('xgModel')


# Make the predictions on the test data
preds = predict(xgModel, test_features)



```

















```{r}
stopImplicitCluster()
```

