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### "Market Analytics"

# Importing the dataset
data = read.csv("shutterfly_data.csv", header = TRUE)

# Changing date format
data$order_date = as.Date(data$order_date, format='%d-%b-%y')
# Organizing the data with a new 'Year' variable
data$Year = as.numeric(format(data$order_date, '%Y'))
# Creating a cohort of orders in the year 2014 only
cohorts_2014 = data[data$Year==2014, ]

## Exploratory Data Analysis on Cohorts_2014
# 1. Order Frequency
order_frequency = as.data.frame(table(cohorts_2014$customer_id))
colnames(order_frequency)[1] = "unique_cust_id"
# 2. Merging Order Frequency to Cohorts 2014
cohorts_2014 = merge(cohorts_2014, order_frequency,
                     by.x = "customer_id",
                     by.y = "unique_cust_id",
                     all.x = TRUE)
# 3. Creating a cohort of customers based on order date months
cohorts_2014$cohort = as.numeric(format(cohorts_2014$order_date, "%m"))
# 4. Creating a cohort of customers based on monthly activity
cohorts_2014$order_date = format(cohorts_2014$order_date, "%Y-%m")
# 5. Renaming cohort column according to month label
groups = c("Jan Cohorts","Feb Cohorts","Mar Cohorts","Apr Cohorts","May Cohorts","Jun Cohorts",
            "Jul Cohorts","Aug Cohorts","Sep Cohorts","Oct Cohorts","Nov Cohorts","Dec Cohorts")
for(i in 1:12){
  cohorts_2014[cohorts_2014$cohort==i,"cohort"] = groups[i]
}
rm(i, groups)
cohorts_2014$cohort = factor(cohorts_2014$cohort,
                             ordered= T, levels =c("Jan Cohorts","Feb Cohorts","Mar Cohorts",
                                                   "Apr Cohorts","May Cohorts","Jun Cohorts",
                                                   "Jul Cohorts","Aug Cohorts","Sep Cohorts",
                                                   "Oct Cohorts","Nov Cohorts","Dec Cohorts"))

# 6. Creating a matrix of cohorts retention
cohorts.ret = reshape2::dcast(cohorts_2014, cohort~Freq, value.var = "customer_id",
                               fun.aggregate = length)
# 7. Creating a visualization plot of cohorts retention based on order frequency in 2014
breaks <- quantile(cohorts.ret[,2:42], probs = seq(.05, .95, .05), na.rm = TRUE)
colors <- sapply(round(seq(155, 80, length.out = length(breaks) + 1), 0),
                 function(x){ rgb(x,x,155, maxColorValue = 155) } )
library(DT)
## Warning: package 'DT' was built under R version 3.3.3
DT::datatable(cohorts.ret,
              class = 'cell-border stripe',
              rownames = FALSE,
              options = list(
                ordering=F,
                dom = 't',
                pageLength = 12)) %>%
  formatStyle("cohort",
              backgroundColor = 'lightgrey',
              fontWeight = 'bold') %>%
  formatStyle(names(cohorts.ret[c(-1)]),fontWeight = 'bold',color = 'white', backgroundColor = styleInterval(breaks,colors))
## Predictive Model for Cohort Analysis
# Removing non-critical variables
cohorts_2014$category_name <- NULL
cohorts_2014$product_name <- NULL
cohorts_2014$order_id <- NULL
cohorts_2014$Year <- NULL
cohorts_2014$cohort <- NULL
cohorts_2014$order_date <- NULL

# *Logistic Regression*

# Factoring order_sequence column and re-assigning values as NR(not retained) if order=1 and 
# R(retained) if order>=2

cohorts_2014$category[cohorts_2014$order_sequence == 1] = "NR"
cohorts_2014$category[cohorts_2014$order_sequence >= 2] = "R"

# Feature Encoding the category column
cohorts_2014$category = factor(cohorts_2014$category, levels = c("NR", "R"), labels = c(0, 1))
cohorts_2014
##       customer_id order_sequence       revenue units Freq category
## 1            8656              1    0.00000000     0    8        0
## 2            8656              2    0.00000000     0    8        1
## 3            8656              4    0.00000000     0    8        1
## 4            8656              3    0.84708387     4    8        1
## 5            8656              3    3.69113027     9    8        1
## 6            8656              3    5.63310774     1    8        1
## 7            8656              3   13.29867812     1    8        1
## 8            8656              1   18.99000000     1    8        0
## 9           10826              1    4.99000000     0    2        0
## 10          10826              1   50.23000000     1    2        0
## 11          19172              1   86.96000000     3    1        0
## 12          20022              1   30.59999996   204    1        0
## 13          32261              2   12.00000000     1    2        1
## 14          32261              1   28.14000000     1    2        0
## 15          32956              1   11.23000000     1    1        0
## 16          33363              1   79.38000000    60    1        0
## 17          38174              1   20.98000000     1    3        0
## 18          38174              2  108.25000000     2    3        1
## 19          38174              2    9.98000000     0    3        1
## 20          41154              1   26.08000000     1    1        0
## 21          41218              1    2.49000000    20    1        0
## 22          41251              1    5.99000000     1    1        0
## 23          41419              1   20.49000000   125    1        0
## 24          56403              1    2.13381750     1    2        0
## 25          56403              1    7.12618250     1    2        0
## 26          57759              1    6.08000000     0    2        0
## 27          57759              1   61.43000000    40    2        0
## 28          60399              1    7.99000000     1    2        0
## 29          60399              1    3.74000000     0    2        0
## 30          61848              3   21.98000000     1    4        1
## 31          61848              2    7.91420600     2    4        1
## 32          61848              2    1.83579399     1    4        1
## 33          61848              1   14.18000000     1    4        0
## 34          67367              1    9.98000000     1   21        0
## 35          67367             10   10.98000000     1   21        1
## 36          67367              4    3.77000000     2   21        1
## 37          67367              7    5.42415663     1   21        1
## 38          67367             10    3.49000000    10   21        1
## 39          67367             11   19.83000000     1   21        1
## 40          67367              1   26.47000000    12   21        0
## 41          67367              4   45.79000000    20   21        1
## 42          67367             10   22.15000000    12   21        1
## 43          67367              7    1.34584337     1   21        1
## 44          67367              2   19.05258000     1   21        1
## 45          67367              8   46.97000000     2   21        1
## 46          67367              9   84.98000000     1   21        1
## 47          67367              2   35.10742000     1   21        1
## 48          67367              3   35.23000000     1   21        1
## 49          67367              5    3.99000000     1   21        1
## 50          67367              1    3.98000000     1   21        0
## 51          67367              9   23.18000000     1   21        1
## 52          67367              6    2.34000000     3   21        1
## 53          67367             12   10.97000000     2   21        1
## 54          67367              4    3.80000000     0   21        1
## 55          68467              2   23.48000000     1    2        1
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## 57          79712              1   37.09000000     1    1        0
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## 59          82388              1   20.29000000     1    4        0
## 60          82388              1   -2.16096780    45    4        0
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## 62          90609              2    7.99000000     1    2        1
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## 64          99476              1  279.96000000     5    1        0
## 65         104620              1   21.29794118     6    3        0
## 66         104620              1    0.29764706    22    3        0
## 67         104620              1    5.27441176     6    3        0
## 68         113746              1    6.69002400    99    2        0
## 69         113746              2    3.99000000     1    2        1
## 70         121791              1    7.98999991   101    2        0
## 71         121791              2    7.99000000     1    2        1
## 72         133003              1    1.99000000     0    4        0
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## 80         144561              2    8.13999967   102    2        1
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## 82         153335              1   11.05806600   138    3        0
## 83         153335              1    4.46484600     1    3        0
## 84         153335              1    3.31714200     3    3        0
## 85         160489              2   23.60000000     2    3        1
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## 87         160489              2   30.37000000    30    3        1
## 88         160818              4    6.99000000     1    5        1
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## 90         160818              1    7.99000000     1    5        0
## 91         160818              2    7.99000000     1    5        1
## 92         160818              2    0.25000000     0    5        1
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## 94         168427              2    4.99000000     0    7        1
## 95         168427              2   40.99000000     1    7        1
## 96         168427              3    1.76679245     1    7        1
## 97         168427              1   17.85000000    24    7        0
## 98         168427              3    1.07320755     4    7        1
## 99         168427              3   14.96000000     5    7        1
## 100        173197              1   89.70000000    50    2        0
## 101        173197              1   21.48000000    12    2        0
## 102        176769              1   23.81999997    27    1        0
## 103        181109              1   22.48000000     1    1        0
## 104        185544              3    5.99000000     1   11        1
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## 107        185544              6    9.98000000     1   11        1
## 108        185544              7    4.99000000     0   11        1
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## 111        185544              1    7.56148148     6   11        0
## 112        185544              7   16.99000000     1   11        1
## 113        185544              2    7.99000000     1   11        1
## 114        185544              1    0.36851850     9   11        0
## 115        190641              1    7.99000000     1    1        0
## 116        191526             10    6.99000000     1   10        1
## 117        191526              1    7.99000000     1   10        0
## 118        191526              2   13.14000001   101   10        1
## 119        191526              9    7.99000000     1   10        1
## 120        191526              3    0.99000000     1   10        1
## 121        191526              5    8.48000000     2   10        1
## 122        191526              4    3.99000000     1   10        1
## 123        191526              6    3.99000000     1   10        1
## 124        191526              7   11.38996800   124   10        1
## 125        191526              8    2.99000000     2   10        1
## 126        192549              1   40.58999987    41    5        0
## 127        192549              2   33.48000000     1    5        1
## 128        192549              1   19.99000000     1    5        0
## 129        192549              3   25.91000000    10    5        1
## 130        192549              4   69.69000000    50    5        1
## 131        195180              1   40.99000000     1    1        0
## 132        196705              1    7.99000000     1    1        0
## 133        208585              1   12.99000000     1    2        0
## 134        208585              1   24.98000000     1    2        0
## 135        212149              1   12.09000000    12    2        0
## 136        212149              2   22.59000000    12    2        1
## 137        215506              1    5.99000000     1    1        0
## 138        215998              2   12.49000000     3    7        1
## 139        215998              3    7.99003400   107    7        1
## 140        215998              7    7.08000000     3    7        1
## 141        215998              6    7.99003400   107    7        1
## 142        215998              5    8.99003200   112    7        1
## 143        215998              4    6.74000000   100    7        1
## 144        215998              1   32.12000000   250    7        0
## 145        221157              1   19.38000000     1    1        0
## 146        225517              1   11.99000000     1    1        0
## 147        227514              1    2.99000001    30    1        0
## 148        232263              1    1.38553815     3    4        0
## 149        232263              1    7.44551816     4    4        0
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## 154        234101              2   79.63999949   401    4        1
## 155        234101              3  131.94000000     5    4        1
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##  [ reached getOption("max.print") -- omitted 45764 rows ]
# Data splitting into train and test with 80:20 
library(caTools)
## Warning: package 'caTools' was built under R version 3.3.3
library(tidyverse)
## Warning: package 'tidyverse' was built under R version 3.3.3
## -- Attaching packages ------------------------------------------------------------- tidyverse 1.2.1 --
## v ggplot2 2.2.1     v purrr   0.2.4
## v tibble  1.4.1     v dplyr   0.7.4
## v tidyr   0.7.2     v stringr 1.2.0
## v readr   1.1.1     v forcats 0.2.0
## Warning: package 'ggplot2' was built under R version 3.3.3
## Warning: package 'tibble' was built under R version 3.3.3
## Warning: package 'tidyr' was built under R version 3.3.3
## Warning: package 'readr' was built under R version 3.3.3
## Warning: package 'purrr' was built under R version 3.3.3
## Warning: package 'dplyr' was built under R version 3.3.3
## Warning: package 'stringr' was built under R version 3.3.3
## Warning: package 'forcats' was built under R version 3.3.3
## -- Conflicts ---------------------------------------------------------------- tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
cohorts_2014$order_sequence <- NULL
split = sample.split(cohorts_2014$category, SplitRatio = 0.8)
training_set = subset(cohorts_2014, split == TRUE)
test_set = subset(cohorts_2014, split == FALSE)

# Model: GLM
logistic_model = glm(formula = category~., family= binomial("logit"),data= training_set, maxit=100)

# Simple GLM model don't seem to work with the dataset because the target variable(category) are 
# perfectly separated [Warning: "glm.fit: fitted probabilities numerically 0 or 1 occurred"]

# Now we will try penalized likelihood model (Bias reduction)
library(logistf)
## Warning: package 'logistf' was built under R version 3.3.3
#logistf_model = logistf(formula = category~., data = training_set, method="Penalized ML")
# This model is unable to converge as well

# Bayesian Model (Naive Bayes)
library(e1071)
## Warning: package 'e1071' was built under R version 3.3.3
bayes_model = naiveBayes(x=training_set[-5], y=training_set$category)

# Test set Prediction 
results = predict(bayes_model, newdata = test_set[-5])

# Model Evaluation
confusion_matrix = table(test_set[, 5], results)
confusion_matrix
##    results
##        0    1
##   0 5867  501
##   1 3362 2756
# 8623/12486 = 70%
# From the results of confusion matrix the Naive Bayes model did poor job in predicting 
# customer retention

# *Model Validation*

# K-Fold Cross Validation
library(caret)
## Warning: package 'caret' was built under R version 3.3.3
## Loading required package: lattice
## 
## Attaching package: 'caret'
## The following object is masked from 'package:purrr':
## 
##     lift
folds = createFolds(training_set$category, k = 20)
cv = lapply(folds, function(x) {
  training_fold = training_set[-x, ]
  test_fold = training_set[x, ]
  bayes_model = naiveBayes(formula = category ~ .,
                   data = training_fold,
                   type = 'C-classification',
                   kernel = 'radial')
  results = predict(bayes_model, newdata = test_fold[-5])
  cm = table(test_fold[, 5], results)
  accuracy = (cm[1,1] + cm[2,2]) / (cm[1,1] + cm[2,2] + cm[1,2] + cm[2,1])
  return(accuracy)
})

# After performing k-fold cross validation there is no improvement in prediction accuracy
# of naive bayes model
# Shutterfly may want to look into the data features again and possibly include more parameters
# in order to come up with a improved prediction accuracy.

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.