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E-Commerce Customer Churn Prediction

This article was published as a part of the Data Science Blogathon.

Introduction

Customer churn or attrition is one of the most crucial problems for any business that directly sells or serves customers Be it Telecom service providers, eCommerce or SaaS businesses it is important to track and analyse how many customers are leaving the platform and how many are sticking and the reasons behind them. Knowing customer behaviour can greatly enhance decision-making processes and can further help reduce churn to improve profitability.

In this article, we are going to analyse an eCommerce dataset and find the best model to predict customer churn. But before delving into analysis let’s have a brief look at what is churn

What is Churn Analysis?

Customer churn can be defined as the rate at which customers leave a platform or service. And customer churn analysis is the method of analysing the rate. There are usually two kinds of churn.

  • Voluntary Churn:  when the customer voluntarily chooses to not subscribe anymore, for example, they got a better deal somewhere else or they had a dissatisfactory experience.
  • Involuntary Churn: when the customer involuntarily leaves the platform, for example, payment failures because credit card maxed out.

Some of the churns are expected but when the churn is high it could highly impact the bottom line of the company. It also reveals the net consumer perception of the company, which is essentially an important factor in the long term growth and sustainability of the company. It is pretty much intuitive to know if there is a significant churn or not but unless and until we have key data points to draw actionable insight it is just a guessing game. Several factors influence churn and understanding each can give us a pretty solid idea of what to do next.

Now, we are all set to delve into the practical analysis part. For this article, we will be using e-commerce data set.

Importing Libraries

For analysing the data we will be using Pandas and Numpy and for visualization Matplotlib and Seaborn.

import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns

Now that we have imported the necessary libraries, now we will read the data.

df = pd.read_excel('D:/Data Sets/E Commerce Dataset.xlsx', sheet_name = 'E Comm')
df.head()
Importing Libraries

We will keep an untouched copy of our dataset in case we need it ahead.

dt = df.copy()

Data Exploration

Now that we brought the dataset to our Jupyter kernel, let’s explore the dataset statistics.

df.describe()

Data Exploration

 

df.info()
Data Exploration 2

We can observe there are 5630 observations in total and some of the features have missing values. Let’s see which of these variables have missing values. More on these values later. Before that, we will remove the customerID column as it is irrelevant to our needs.

df.drop('customerID', axis=1, inplace=True) #set inplace true to reflect the change on original dataframe.

Handling Outliers

Let’s now explore if there are any outliers in our feature columns.

sns.set(style=”darkgrid”, palette=”muted”)
fig, ax = plt.subplots(figsize=(16,7))
sns.boxplot(data=df)
plt.xticks(rotation=45)
plt.show()

Handling Outliers

There’s a quite a lot of features with outliers. We will use a quantile based flooring method to treat outliers. As per the method, any value beyond 1.5*Q1 and 1.5*Q3 will be regarded as outliers, and all the outlier values will be replaced by Q1-1.5*Q1 and Q3+1.5*Q3.

cat = df.select_dtypes(include='object').columns #object type columns
num = list(df.select_dtypes(exclude='object').columns) #numerical type columns
num.remove('Churn')
for cols in num:
    Q1 = df[cols].quantile(0.25)
    Q3 = df[cols].quantile(0.75)
    IQR=Q3-Q1
    lr= Q1-(1.5 * IQR)
    ur= Q3+(1.5 * IQR)
    df[cols] = df[cols].mask(df[cols]<lr, lr, )
    df[cols] = df[cols].mask(df[cols]>ur, ur, )

Let’s see if we got rid of outliers or not.

sns.set(style="darkgrid", palette="muted")
fig, ax = plt.subplots(figsize=(16,7))
sns.boxplot(data=df)
plt.xticks(rotation=45)
plt.show()
Handling Outliers 2

Nice. Now our data is free from outliers.

Handling Missing Values

From the dataset info, we observed some features have missing values. This section will be imputing the missing values with appropriate values.

df.isnull().sum()
Handling Missing Values

Quite a lot of missing values indeed. We will impute these features with means and medians wherever appropriate. There are also other imputing methods you could try out. But here it makes more sense to impute with simple means and medians.

df['Tenure'].fillna(df.Tenure.median(), inplace=True)
df['WarehouseToHome'].fillna(df.WarehouseToHome.median(), inplace=True)
df['HourSpendOnApp'].fillna(df.HourSpendOnApp.median(), inplace=True)
df['OrderAmountHikeFromlastYear'].fillna(round(df.OrderAmountHikeFromlastYear.mean()), inplace=True)
df['CouponUsed'].fillna(df.CouponUsed.median(), inplace=True)
df['OrderCount'].fillna(df.OrderCount.median(), inplace=True)
df['DaySinceLastOrder'].fillna(df.DaySinceLastOrder.median(), inplace=True)
df.isnull().sum()
Churn                          0
Tenure                         0
PreferredLoginDevice           0
CityTier                       0
WarehouseToHome                0
PreferredPaymentMode           0
Gender                         0
HourSpendOnApp                 0
NumberOfDeviceRegistered       0
PreferedOrderCat               0
SatisfactionScore              0
MaritalStatus                  0
NumberOfAddress                0
Complain                       0
OrderAmountHikeFromlastYear    0
CouponUsed                     0
OrderCount                     0
DaySinceLastOrder              0
CashbackAmount                 0
CashbackPerOrder               0
dtype: int64

Univariate Analysis

The term Univariate Analysis refers to the analysis of only one variable. The aim is to analyse and find out patterns specific to a single variable.

Categorical variables

First, we will look into the categorical variables and the frequency of each value.

for col in cat:
    print(df[col].value_counts())
Univariate Analysis

Now, we will visualise each variable with their corresponding churn value

fig,ax = plt.subplots(nrows=2,ncols=3,figsize=(26,12))
for col,subplot in zip(cat, ax.flatten()):
sns.countplot(x = df[col], hue=df.Churn, ax=subplot)

Univariate Analysis 2

To make the inferences more insightful we can find out the per cent churn contributed by each category for each variable.

fig, ax = plt.subplots(2, 3, figsize=(30, 20))
plt.rcParams['font.size'] = '16'
for col,subplot in zip(cat, ax.flatten()):
    #calculate percent churn 
    temp = df.groupby(by=df[col]).Churn.sum()
    total = df.value_counts(col).sort_index()
    res1 = temp/total*100
    #visualising the result
    subplot.pie(labels = res1.index, x = res1.values, autopct='%.0f%%',textprops={'fontsize': 16})
Univariate Analysis 3

Numerical variable

Visualise distributions

for i, subplot in zip(num, ax.flatten()):
    sns.histplot(df[i], kde = True, ax=subplot)
Numerical variable

We can find the per cent churn for numerical variables as well but here we will use line charts instead.

fig, ax = plt.subplots(2, 6, figsize=(30, 10))
for col,subplot in zip(num, ax.flatten()):
    temp = df.groupby(by=df[col]).Churn.sum()
    total = df.value_counts(col).sort_index()
    res1 = temp/total*100
    sns.lineplot(x = res1.index, y = res1.values, ax=subplot, )
    subplot.tick_params(axis='x',labelrotation=45)
Numerical variable 5

 

Bivariate Analysis

In the bivariate analysis, we will use two variables and find the relationship between them. We will use the correlation coefficient to find out the relationship between variables. A correlation value close to 1 indicates a positive correlation while a correlation nearing -1 has negative relation and around zero means neutral.

mask=np.zeros_like(df.corr())
mask[np.triu_indices_from(mask)] = True
fig, ax = plt.subplots( figsize=(16, 7))
sns.heatmap(df.corr(method='pearson'), mask=mask, cmap='rainbow')
Bivariate Analysis

We can observe there is a positive correlation between tenure and the cashback amount, also the coupon used and the order count too have a strong positive correlation. Tenure and Complain have some effect on the churn but the rest of the variables are pretty neutral.

Classification

Now, that we are done with data cleaning and analysis we will be moving on to the classification part. For this, we will be using multiple classification algorithms and find out the best fitting algorithm using the sci-kit learns pipeline and GridsearchCV. So, let’s import all the necessary libraries.

from sklearn.linear_model import LogisticRegression
from sklearn.tree import DecisionTreeClassifier
from sklearn.ensemble import RandomForestClassifier
from xgboost import XGBClassifier
from sklearn.pipeline import Pipeline
from sklearn.model_selection import cross_val_score, KFold, train_test_split
from sklearn.preprocessing import StandardScaler, MinMaxScaler, Normalizer
from sklearn.metrics import confusion_matrix, f1_score, accuracy_score, roc_auc_score
from sklearn.feature_selection import SelectKBest
from sklearn.base import BaseEstimator, ClassifierMixin
from sklearn.model_selection import GridSearchCV
from sklearn.preprocessing import LabelEncoder

We have several variables with categorical values so we will encode them before feeding them to the algorithms.

enc = LabelEncoder()
for col in df.select_dtypes(include='object'):
    df[col]=enc.fit_transform(df[col])

Splitting the data into train and test sets

X_train, X_test,y_train, y_test = train_test_split(df.drop('Churn', axis=1), df.Churn)

We will now construct a custom switcher class which will be able to work for any estimator passed through GridsearchCV.

class my_classifier(BaseEstimator,):
    def __init__(self, estimator=None):
        self.estimator = estimator
    def fit(self, X, y=None):
        self.estimator.fit(X,y)
        return self
    def predict(self, X, y=None):
        return self.estimator.predict(X,y)
    def predict_proba(self, X):
        return self.estimator.predict_proba(X)
    def score(self, X, y):
        return self.estimator.score(X, y)

Now, we will define our pipeline

pipe = Pipeline([('scaler', StandardScaler()), ('clf', my_classifier())])

Define parameter space

parameters = [
              {'clf':[LogisticRegression(max_iter=1000)],
               'clf__C':[0.001,0.01,.1,1],
               'clf__solver':['lbfgs','liblinear']
               },
             {'clf':[RandomForestClassifier()],
             'clf__criterion':['gini','entropy'], 
             },
             {
               'clf':[DecisionTreeClassifier()],
             'clf__criterion':['gini','entropy'],
             },
             {
              'clf':[XGBClassifier()],
             'clf__learning_rate':[0.01,0.1,0.2,0.3],
             'clf__reg_lambda':[0.01,0.1,1],
             'clf__reg_alpha': [0.01,0.1,0,1],
             }]

In the above code snippet, we defined hyper-parameters for each estimator to find a better fit.

Now, we will pass the pipeline and parameter to GridsearchCV.

grid = GridSearchCV(pipe, parameters, cv=5)
grid.fit(X_train,y_train)
output: GridSearchCV(cv=5,
             estimator=Pipeline(steps=[('scaler', StandardScaler()),
                                       ('clf', my_classifier())]),
             param_grid=[{'clf': [LogisticRegression(max_iter=1000)],
                          'clf__C': [0.001, 0.01, 0.1, 1],
                          'clf__solver': ['lbfgs', 'liblinear']},
                         {'clf': [RandomForestClassifier()],
                          'clf__criterion': ['gini', 'entropy']},
                         {'clf': [DecisionTreeClassifier()],
                          'clf__criterion': ['gini', 'e...
                                                max_cat_to_onehot=None,
                                                max_delta_step=None,
                                                max_depth=None, max_leaves=None,
                                                min_child_weight=None,
                                                missing=nan,
                                                monotone_constraints=None,
                                                n_estimators=100, n_jobs=None,
                                                num_parallel_tree=None,
                                                predictor=None,
                                                random_state=None, reg_alpha=0,
                                                reg_lambda=0.01, ...)],
                          'clf__learning_rate': [0.01, 0.1, 0.2, 0.3],
                          'clf__reg_alpha': [0.01, 0.1, 0, 1],
                          'clf__reg_lambda': [0.01, 0.1, 1]}])

Let’s see which estimator best classified the data

grid.best_estimator_
output: Pipeline(steps=[('scaler', StandardScaler()),
                ('clf',
                 XGBClassifier(base_score=0.5, booster='gbtree', callbacks=None,
                               colsample_bylevel=1, colsample_bynode=1,
                               colsample_bytree=1, early_stopping_rounds=None,
                               enable_categorical=False, eval_metric=None,
                               gamma=0, gpu_id=-1, grow_policy='depthwise',
                               importance_type=None, interaction_constraints='',
                               learning_rate=0.3, max_bin=256,
                               max_cat_to_onehot=4, max_delta_step=0,
                               max_depth=6, max_leaves=0, min_child_weight=1,
                               missing=nan, monotone_constraints='()',
                               n_estimators=100, n_jobs=0, num_parallel_tree=1,
                               predictor='auto', random_state=0, reg_alpha=0,
                               reg_lambda=0.01, ...))])

Training Score

grid.best_score_
output: 0.9611534255026781

Predicting values for test set

y_pred = grid.predict(X_test,)

Confusion matrix

sns.heatmap(confusion_matrix(y_test, y_pred), annot=True)
Training Score

F1 score on the test set

print(f1_score(y_test,y_pred))
output: 0.9154639175257732

Feature Importance

A trained XGboost model automatically calculates the feature importance of our predictive modelling problem. This lets us know which feature had more contribution to the overall prediction.

feature_array = grid.best_estimator_[-1].feature_importances_
importance = dict(zip(df.drop('Churn',axis=1).columns,feature_array))
importance = dict(sorted(importance.items(), key= lambda item:item[1],reverse = True) )
fig, ax = plt.subplots(figsize=(26,8))
sns.barplot(x=list(importance.keys()), y=list(importance.values()))
plt.tick_params(axis='x', labelrotation=45)
plt.show()
Feature Importance

Conclusion

Churn prediction is easily one of the most practical and widespread use cases of machine learning in everyday businesses. Being able to analyse why and what causes your customers to leave and predict which customers are likely to leave can make decision making much easier.

In this article:

  • We explored and performed an analysis of an e-commerce dataset.
  • We ran different classification algorithms with sci-kit learn’s Pipeline method.
  • We used GreedsearchCV for hyperparameter tuning to find the best algorithm with the best set of parameters.
  • Finally found out the features that had more influence on prediction.

So, this was all about customer churn analysis and prediction.

Hope you liked the article.

 The media shown in this article is not owned by Analytics Vidhya and is used at the Author’s discretion.

Sunil Kumar Dash

08 Jun 2022

Dominic Rubhabha-Wardslaus
Dominic Rubhabha-Wardslaushttp://wardslaus.com
infosec,malicious & dos attacks generator, boot rom exploit philanthropist , wild hacker , game developer,
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