Shorenstein_Center_Notebook_1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[![Shorenstein Logo](https://shorensteincenter.org/wp-content/uploads/2014/08/cropped-cropped-HKSlogo_shorenstein.png)](https://shorensteincenter.org/)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Table of Contents:\n",
    "###  0 [Import Libraries ](#0-bullet)\n",
    "###  1 [Pull Data from the API](#1-bullet)\n",
    "###  2 [Turn the Data into a pandas DataFrame](#2-bullet)\n",
    "###  3 [Explore the Data](#3-bullet)\n",
    "#####      - 3.1 [Basic List Composition](#3.1-bullet)\n",
    "#####      - 3.2 [List Composition Over Time](#3.2-bullet)\n",
    "#####      - 3.3 [Subscriber (In)Activity ](#3.3-bullet)\n",
    "#####      - 3.4 [Subscriber Engagement Distributions](#3.4-bullet)\n",
    "#####      - 3.5 [ Investigating Churn](#3.5-bullet)\n",
    "###  4 [Export Results to a Folder](#4-bullet)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 0. Import libraries and set global variables <a class=\"anchor\" id=\"0-bullet\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# this is a comment\n",
    "# comments are used throughout this notebook to explain what is happening in each cell\n",
    "# this is a cell\n",
    "# the In [] to the left stands for input \n",
    "# when you click inside the cell it will turn green and you can edit the code \n",
    "# run the cells in this notebook in order by pressing shift + enter \n",
    "# you will see an input number appear on the left after the cell has run\n",
    "\n",
    "# set colors \n",
    "c1='#18a45f' # subscribers\n",
    "c2='#ec3038' # unsubscribes\n",
    "c3='#3286ec' # cleaned\n",
    "c4='#fecf5f' # pending\n",
    "c_ev= '#cccccc' # ever opened\n",
    "c_nev='#000000' # never opened"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# import libraries\n",
    "%matplotlib inline\n",
    "import os\n",
    "from mailchimp3 import MailChimp # import your wrapper of choice for your email service provider - in this case mailchimp3. \n",
    "import pandas as pd # standard code for importing the pandas library and aliasing it as pd - if you want to learn all about pandas read 'Python for Data Analysis' version 2nd Edition by Wes McKinney, the creator of pandas\n",
    "import time # allows you to time things \n",
    "import matplotlib.pyplot as plt # allows you to plot data  \n",
    "import seaborn as sns # makes the plots look nicer\n",
    "import numpy as np\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Pull Data from the API <a class=\"anchor\" id=\"1-bullet\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " [ We will pull data from the MailChimp API as an example in this notebook](https://developer.mailchimp.com/)\n",
    " ### You pull from an API, or read in your own data from a csv or other file format"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# run this cell to define global variables to pull data from the API of your email service provider, in this case MailChimp\n",
    "# and specify LIST_NAME so the files in the exported executive summary are labled correctly\n",
    "# replace the variable values in quotes in red caps with the unique values for your MailChimp account\n",
    "LIST_NAME='Test_ONA'\n",
    "#NAME='YOURUSERNAME'# your MailChimp user name (used at login)\n",
    "#SECRET_KEY='YOURAPIKEY'# your MailChimp API Key\n",
    "#LIST_ID='YOURLISTID' # the ID for the individual list you want to look at\n",
    "#OUT_FILE='OUTFILENAME.csv'# if you want to export your data, you can specify the outfile name and type, in this example CSV \n",
    "\n",
    "# Make an output directly to explort the results and images from this notebook\n",
    "oupt_dir='Shorenstein_Notebook_1_'+str(LIST_NAME)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# included in case the directory is already there so it doesn't error out \n",
    "try:\n",
    "    os.mkdir(oupt_dir)\n",
    "except:\n",
    "    print 'e'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# initalizes client - create a connection with the API; calling that connection client  \n",
    "# client=MailChimp(NAME,SECRET_KEY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# %%time \n",
    "# %%time, this magic command above tells jupyter to time how long this cell takes to run\n",
    "# magic commands have to be first which is why this comment is not first\n",
    "# makes a MailChimp API call and stores the results in member_data; kernal will be busy - filled in - while data is being pulled from the API\n",
    "# from the client object - created in the input directly above - we are calling the method to get all member information for members on the list you are interested in \n",
    "# names what is returned from the API member_data and specifies the fields for the API to return\n",
    "# TIP: limit the fields to the ones you want speeds up the time it takes the API calls to complete\n",
    "# if this times out or if you have issues, consider doing a batch request which does not require you to keep the connection open while the request processes \n",
    "# batch requests are the recommended method by MailChimp, although they are significantly slower in pulling the data, they are more robust\n",
    "# for simplicity we do a normal API request in this notebook\n",
    "\n",
    "# member_data=client.lists.members.all(LIST_ID,get_all=True,\n",
    "#                                    fields='members.status,members.email_address,members.timestamp_opt,members.timestamp_signup,members.stats,members.id')\n",
    "# print \"api calls done\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Or Read in Data that you have on your computer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "member_data_frame=pd.read_pickle('nb1_anon.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>stats</th>\n",
       "      <th>status</th>\n",
       "      <th>timestamp_opt</th>\n",
       "      <th>timestamp_signup</th>\n",
       "      <th>email_address</th>\n",
       "      <th>id</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>{u'avg_click_rate': 0, u'avg_open_rate': 0}</td>\n",
       "      <td>pending</td>\n",
       "      <td></td>\n",
       "      <td>2013-08-03T02:19:16+00:00</td>\n",
       "      <td>Leonor_Berge@gmail.com</td>\n",
       "      <td>de81d99d7deafde2c3a9bc177a610018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>{u'avg_click_rate': 0.3333, u'avg_open_rate': ...</td>\n",
       "      <td>subscribed</td>\n",
       "      <td>2010-05-06T06:25:00+00:00</td>\n",
       "      <td></td>\n",
       "      <td>Jeremy_Lowe@yahoo.com</td>\n",
       "      <td>b582eabd70f326f49b7faae64dcdec3e</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>{u'avg_click_rate': 0.0914, u'avg_open_rate': ...</td>\n",
       "      <td>subscribed</td>\n",
       "      <td>2010-05-05T10:00:00+00:00</td>\n",
       "      <td></td>\n",
       "      <td>Noel.Pollich@yahoo.com</td>\n",
       "      <td>a11ae311181bec91c537aa6d89b4d605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>{u'avg_click_rate': 0, u'avg_open_rate': 0}</td>\n",
       "      <td>cleaned</td>\n",
       "      <td>2010-05-05T08:46:00+00:00</td>\n",
       "      <td></td>\n",
       "      <td>Joy_Spinka16@yahoo.com</td>\n",
       "      <td>6eb0d3ac6e368e81341a0558dc8895fc</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>{u'avg_click_rate': 0.0914, u'avg_open_rate': ...</td>\n",
       "      <td>subscribed</td>\n",
       "      <td>2010-05-05T12:25:00+00:00</td>\n",
       "      <td></td>\n",
       "      <td>Thelma.Metz93@yahoo.com</td>\n",
       "      <td>f99326df9482459c6978b1932f736c1d</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                               stats      status  \\\n",
       "0        {u'avg_click_rate': 0, u'avg_open_rate': 0}     pending   \n",
       "1  {u'avg_click_rate': 0.3333, u'avg_open_rate': ...  subscribed   \n",
       "2  {u'avg_click_rate': 0.0914, u'avg_open_rate': ...  subscribed   \n",
       "3        {u'avg_click_rate': 0, u'avg_open_rate': 0}     cleaned   \n",
       "4  {u'avg_click_rate': 0.0914, u'avg_open_rate': ...  subscribed   \n",
       "\n",
       "               timestamp_opt           timestamp_signup  \\\n",
       "0                             2013-08-03T02:19:16+00:00   \n",
       "1  2010-05-06T06:25:00+00:00                              \n",
       "2  2010-05-05T10:00:00+00:00                              \n",
       "3  2010-05-05T08:46:00+00:00                              \n",
       "4  2010-05-05T12:25:00+00:00                              \n",
       "\n",
       "             email_address                                id  \n",
       "0   Leonor_Berge@gmail.com  de81d99d7deafde2c3a9bc177a610018  \n",
       "1    Jeremy_Lowe@yahoo.com  b582eabd70f326f49b7faae64dcdec3e  \n",
       "2   Noel.Pollich@yahoo.com  a11ae311181bec91c537aa6d89b4d605  \n",
       "3   Joy_Spinka16@yahoo.com  6eb0d3ac6e368e81341a0558dc8895fc  \n",
       "4  Thelma.Metz93@yahoo.com  f99326df9482459c6978b1932f736c1d  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "member_data_frame.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Turn the Data into a pandas Data Frame <a class=\"anchor\" id=\"2-bullet\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>email_address</th>\n",
       "      <th>id</th>\n",
       "      <th>stats</th>\n",
       "      <th>status</th>\n",
       "      <th>timestamp_opt</th>\n",
       "      <th>timestamp_signup</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [email_address, id, stats, status, timestamp_opt, timestamp_signup]\n",
       "Index: []"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# turns the member_data returned by the API call into a pandas data frame\n",
    "# pandas allows you to do a number of complex calculations \n",
    "# member_data_frame=pd.DataFrame(member_data['members'])\n",
    "\n",
    "# makes a copy of the data frame so you don't have to repull it if you make changes and want to go back to the original data\n",
    "# member_data_frame.to_pickle(LIST_NAME+'_members.pkl')\n",
    "\n",
    "# look to see what the data frame looks like\n",
    "# TIP: you may need to scroll to the right to see all the columns\n",
    "# member_data_frame.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Explore the Data <a class=\"anchor\" id=\"3-bullet\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1 Basic List Composition<a class=\"anchor\" id=\"3.1-bullet\"></a>\n",
    "### We go from asking 'What is my list size?' "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "45860\n"
     ]
    }
   ],
   "source": [
    "# List size - number of current subscribers, as measured by unique email addresses with status of subscribed on your list\n",
    "list_size=sum(member_data_frame.status=='subscribed')\n",
    "print list_size"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### To asking 'What is my list composition?' "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "127053\n"
     ]
    }
   ],
   "source": [
    "# total unique email records in your list dataset\n",
    "total_un_eml=member_data_frame.email_address.nunique()\n",
    "print total_un_eml"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pending         50499\n",
       "subscribed      45860\n",
       "unsubscribed    17535\n",
       "cleaned         14301\n",
       "Name: status, dtype: int64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# explore member status by seeing the values and counts for each value returned\n",
    "# MailChimp has four possible status values: subscribed, unsubscribed, pending, and cleaned \n",
    "# subscribed = current subscribers\n",
    "# unsubscribed = anyone who unsubscribed themselves or you unsubscribed, e.g. due to inactivity \n",
    "# pending = if you have or have ever had double opt in enabled, pending emails are email addresses that were entered into your subscribe form, but the email confirmation link was never clicked\n",
    "# cleaned = emailed that were cleaned due to bouncing. One hard bounce or about 15 soft bounces. \n",
    "member_data_frame.status.value_counts()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kZ2eTkJDA9evX1abiR7unbGxsGDp0KKtWrWL79u3s27ePatWqkZaWxuXLlzE1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\nEZEk/h+akl/Pqt7YgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b898f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# store_values for later\n",
    "statuses=member_data_frame.status.unique()\n",
    "if 'subscribed' in statuses:\n",
    "    subscribed=member_data_frame.status.value_counts()['subscribed']\n",
    "else:\n",
    "    subscribe=0\n",
    "    print \"looks like you have no subscribers something might have gone wrong.\"\n",
    "if 'unsubscribed' in statuses:\n",
    "    unsubscribed=member_data_frame.status.value_counts()['unsubscribed']\n",
    "else:\n",
    "    unsubscribed=0\n",
    "if 'cleaned' in statuses:\n",
    "    cln=member_data_frame.status.value_counts()['cleaned']\n",
    "else:\n",
    "    cln=0\n",
    "if 'pending' in statuses:\n",
    "    pndg=member_data_frame.status.value_counts()['pending']\n",
    "else:\n",
    "    pndg=0\n",
    "\n",
    "\n",
    "bar=pd.DataFrame([['subscribed',subscribed],['unsubscribed',unsubscribed],\n",
    "             ['cleaned',cln],['pending',pndg]],columns=['status','sizes'])\n",
    "bar.sort_values('status',inplace=True)\n",
    "objects=bar.status.tolist()\n",
    "y_pos=np.arange(len(bar.status.tolist()))\n",
    "performance =bar.sizes.tolist()\n",
    "\n",
    "def autolabel(rects):\n",
    "    \"\"\"\n",
    "    Attach a text label above each bar displaying its height\n",
    "    \"\"\"\n",
    "    for rect in rects:\n",
    "        height = rect.get_height()\n",
    "        ax.text(rect.get_x() + rect.get_width()/2., 1.05*height,\n",
    "                \"{0:.0f}%\".format(int(height)/float(bar.sizes.sum())*100),\n",
    "                ha='center', va='bottom',fontsize=15)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax_b=ax.bar(y_pos, performance, align='center',color=[c3,c4,c1,c2])\n",
    "plt.yticks(fontsize=15)\n",
    "plt.xticks(y_pos, objects, fontsize=15)\n",
    "plt.ylabel('Counts',fontdict={'fontsize':20})\n",
    "plt.xlabel('Status',fontdict={'fontsize':20})\n",
    "plt.title('Section 3.1 Basic List Composition',fontdict={'fontsize':25})\n",
    "autolabel(ax_b)\n",
    "plt.savefig(oupt_dir+'/Section_3.1_ListComposition.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2 List Composition Over Time<a class=\"anchor\" id=\"3.2-bullet\"></a>\n",
    "#### Looking at the types of emails you acquired over time, users are Subscribed, Unsubscribed, Pending or Cleaned. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44879"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# prepare the data by calculating the month joined, and for each of those months, what % of those people are subscribed, unsubscribed, cleaned or pending \n",
    "# NOTE: There is no output from this cell but you need to run it to see the graphs below. \n",
    "member_data_frame['timestamp_opt']=member_data_frame.timestamp_opt.apply(pd.to_datetime)\n",
    "\n",
    "member_data_frame['timestamp_signup']=member_data_frame.timestamp_signup.apply(pd.to_datetime)\n",
    "\n",
    "# records missing signup_time\n",
    "sum(member_data_frame.timestamp_signup.isnull())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# make sure index is unique because we are about to do some manipulations based on it\n",
    "member_data_frame.reset_index(drop=True,inplace=True)\n",
    "\n",
    "# index of members where we don't know when they signed up but we have opt in time\n",
    "guess_time_ix=member_data_frame[(member_data_frame.timestamp_signup.isnull())&\n",
    "                               (member_data_frame.timestamp_opt.isnull()!=True)].index\n",
    "\n",
    "# when we don't have signup time use opt in time\n",
    "member_data_frame.loc[guess_time_ix,'timestamp_signup']=member_data_frame.loc[guess_time_ix,'timestamp_opt']\n",
    "\n",
    "# using integer division to break down people into groups by the month they joined\n",
    "member_data_frame['join_month']=member_data_frame.timestamp_signup.apply(lambda x:\n",
    "                                                                         pd.to_datetime(2592000*int((x.value/1e9)/2592000),unit='s'))\n",
    "\n",
    "# represent the joined month as an integer of ms - milliseconds - since epoch time 0\n",
    "# this format is not nice for people but very nice for computers!\n",
    "member_data_frame['jv']=member_data_frame.join_month.apply(lambda x: x.value)\n",
    "member_data_frame['jv']=member_data_frame.join_month.apply(lambda x: x.value)\n",
    "\n",
    "# any times we get before this we assume are data errors\n",
    "mim_time=pd.to_datetime('01-01-1990')\n",
    "\n",
    "# ignore records before mintime\n",
    "member_data_frame=member_data_frame[member_data_frame.join_month>mim_time].copy()\n",
    "\n",
    "tot=member_data_frame.groupby('join_month').size().reset_index()\n",
    "sub=member_data_frame[member_data_frame.status=='subscribed'].groupby('join_month').size().reset_index()\n",
    "unsub=member_data_frame[member_data_frame.status=='unsubscribed'].groupby('join_month').size().reset_index()\n",
    "cleaned=member_data_frame[member_data_frame.status=='cleaned'].groupby('join_month').size().reset_index()\n",
    "pending=member_data_frame[member_data_frame.status=='pending'].groupby('join_month').size().reset_index()\n",
    "\n",
    "unsub.columns=['join_month','un']\n",
    "tot.columns=['join_month','tot']\n",
    "sub.columns=['join_month','sub']\n",
    "cleaned.columns=['join_month','clean']\n",
    "pending.columns=['join_month','pen']\n",
    "\n",
    "comps=pd.merge(tot,unsub, how='left', on='join_month')\n",
    "comps=pd.merge(comps,sub, how='left', on='join_month')\n",
    "comps=pd.merge(comps,cleaned, how='left', on='join_month')\n",
    "comps=pd.merge(comps,pending, how='left', on='join_month')\n",
    "\n",
    "comps.fillna(0,inplace=True)\n",
    "\n",
    "comps['un_per']=comps.apply(lambda x: x['un']/float(x['tot']),axis=1)\n",
    "comps['sub_per']=comps.apply(lambda x: x['sub']/float(x['tot']),axis=1)\n",
    "comps['cleaned_per']=comps.apply(lambda x: x['clean']/float(x['tot']),axis=1)\n",
    "comps['pending_per']=comps.apply(lambda x: x['pen']/float(x['tot']),axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Breakdown of subscribed, unsubscribed and pending by time joined"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GnZeXlxf8/Pxw9+5dZGZmKh16+ttvv4FhGHh5eWlUj8pSdR0LCwvx+eef48mTJ7Czs0Pz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XaJYhB7XmONJa+JoibGXxITxBZLrK8xJooliooajAUBlaKAdFjqsr232Z0+c87vjzMzu8u2adtw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QHnoI8cwzalx8PybhNLuusFha3HjtSaMLK6VicVAiWUWFcl8EgynvD6kuEKSw48+Z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N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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b8f2e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# green line with triangles represents currently subscribed users\n",
    "# red line with circles represents unsubscribed users\n",
    "# solid yellow line represents pending users\n",
    "plt.figure(figsize=(20,5))\n",
    "plt.plot(comps.join_month,comps.un_per,'-o',color=c2)\n",
    "plt.plot(comps.join_month,comps.sub_per,'->',color=c1)\n",
    "plt.plot(comps.join_month,comps.pending_per,'-',color=c4)\n",
    "# plt.plot(comps.join_month,comps.cleaned_per,'^-',color=c3) \n",
    "# Usually there will be much smaller proportion of cleaned; which we plot separately to see variations \n",
    "# Can also be plotted on this graph if desired \n",
    "plt.title('Section 3.2 Proportion of Current Status by Time Joined',fontdict={'fontsize':25})\n",
    "plt.yticks(fontsize=15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.ylabel('Fraction of List Cohort',fontdict={'fontsize':20})\n",
    "plt.xlabel('Time Joined',fontdict={'fontsize':20})\n",
    "plt.legend(loc='best')\n",
    "plt.savefig(oupt_dir+'/Section_3.2_Proportion_of_Current_Status_by_Time_Joined.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Breakdown of cleaned by time joined"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x10bb6b950>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jsoCGhgYAQElJSb/7i4uLUV9fP+j7vPDCC9DpdLjhhhtw//33R2VdlHwcroEZT4A/YLym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\nQgghhBDCK/4fLH71Z3Ba9aEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bb33d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Blue line represents cleaned users. NOTE: Y-Axis should be smaller than the graph above. \n",
    "# If it's close to the same magnitude as above, you likely have an issue with bounces. \n",
    "plt.figure(figsize=(20,5))\n",
    "plt.plot(comps.join_month,comps.cleaned_per,'^-',color=c3)\n",
    "# plt.title('Section 3.2 Proportion of Cleaned by Time Joined',fontdict={'fontsize':25})\n",
    "plt.ylabel('Fraction of List Cohort',fontdict={'fontsize':20})\n",
    "plt.xlabel('Time Joined',fontdict={'fontsize':20})\n",
    "plt.yticks(fontsize=15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.savefig(oupt_dir+'/Section_3.2_Proportion_of_Cleaned_by_Time_Joined.png')\n",
    "plt.legend(loc='best')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 3.3 Subscriber (In)Activity<a class=\"anchor\" id=\"3.3-bullet\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# this cell does not have an output but you need to run it \n",
    "# unpack open rate and click rate from stats for each record, add the value to a column named open and click respectively.\n",
    "# create a column for those who never opened or clicked\n",
    "# false = number of subscribers who have ever opened (gray)\n",
    "# true = number of subscribers who have never opened (black)\n",
    "member_data_frame['open']=member_data_frame.stats.apply(lambda x: x['avg_open_rate'])\n",
    "member_data_frame['click']=member_data_frame.stats.apply(lambda x: x['avg_click_rate'])\n",
    "\n",
    "member_data_frame['never_opened']=member_data_frame.open.apply(lambda x:x==0)\n",
    "member_data_frame['never_clicked']=member_data_frame.click.apply(lambda x:x==0)\n",
    "\n",
    "\n",
    "# continued from above, now as three separate arrays\n",
    "ever_opened=member_data_frame[(member_data_frame.status=='subscribed')&\n",
    "                                (member_data_frame.never_opened!=True)]\n",
    "never_opened=member_data_frame[(member_data_frame.status=='subscribed')&\n",
    "                  (member_data_frame.never_opened)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Opens: Ever Opened vs. Never Opened"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    38883\n",
       "True      6977\n",
       "Name: never_opened, dtype: int64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# unpack individual user open rate and click rate from stats for each user record, add the value to a column named open and click respectively.\n",
    "# create a column for those who never opened or clicked\n",
    "# false = number of subscribers who have ever opened \n",
    "# true = number of subscribers who have never opened\n",
    "member_data_frame['open']=member_data_frame.stats.apply(lambda x: x['avg_open_rate'])\n",
    "member_data_frame['click']=member_data_frame.stats.apply(lambda x: x['avg_click_rate'])\n",
    "\n",
    "member_data_frame['never_opened']=member_data_frame.open.apply(lambda x:x==0)\n",
    "member_data_frame['never_clicked']=member_data_frame.click.apply(lambda x:x==0)\n",
    "member_data_frame[member_data_frame.status=='subscribed'].never_opened.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# save ever_open and never open for later\n",
    "ev_opn=member_data_frame[member_data_frame.status=='subscribed'].never_opened.value_counts()[False]\n",
    "nv_opn=member_data_frame[member_data_frame.status=='subscribed'].never_opened.value_counts()[True]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    0.847863\n",
       "True     0.152137\n",
       "Name: never_opened, dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# false = percent subscribers ever opened\n",
    "# true = percent subscribers never opened \n",
    "member_data_frame[member_data_frame.status=='subscribed'].never_opened.value_counts()/float(list_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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abr75Zt14442OLg8AAAAA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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10db7e390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# stack the data - never opened vs ever opened\n",
    "plt.figure(figsize=(15,10))\n",
    "ax=plt.hist([ever_opened.jv,never_opened.jv], stacked=True,normed=False,label=['EVER OPEND',\n",
    "                                                                               'NEVER OPEND'],color=[c_ev,c_nev])\n",
    "\n",
    "plt.xticks(ax[1],map(lambda x: pd.to_datetime(x).date(),ax[1]), rotation=35)\n",
    "#plt.title('Section 3.3 Never Opened vs EverOpened by Time Joined, Stacked Histogram',fontdict={'fontsize':25})\n",
    "plt.ylabel('Subscriber Count',fontdict={'fontsize':20})\n",
    "plt.xlabel('Time Joined',fontdict={'fontsize':20})\n",
    "plt.legend(loc='best', prop={'size': 20})\n",
    "plt.yticks(fontsize=15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.savefig(oupt_dir+'/Section_3.3_NeverOpened_vs_EverOpened_by_Time_Joined.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Clicks: Ever Clicked vs. Never Clicked"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# save ever open and never open rates for later\n",
    "ev_opn_r=ev_opn/float(list_size)\n",
    "\n",
    "nv_opn_r=nv_opn/float(list_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    23687\n",
       "True     22173\n",
       "Name: never_clicked, dtype: int64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# false = number of subscribers who have ever clicked \n",
    "# true = number of subscribers who have never clicked \n",
    "member_data_frame[member_data_frame.status=='subscribed'].never_clicked.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# save ever clicked and never clicked for later\n",
    "ev_clk=member_data_frame[member_data_frame.status=='subscribed'].never_clicked.value_counts()[False]\n",
    "nv_clk=member_data_frame[member_data_frame.status=='subscribed'].never_clicked.value_counts()[True]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    0.516507\n",
       "True     0.483493\n",
       "Name: never_clicked, dtype: float64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# false = percent subscribers ever clicked\n",
    "# true = percent subscribers never clicked \n",
    "member_data_frame[member_data_frame.status=='subscribed'].never_clicked.value_counts()/float(list_size)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# save ever clicked and never clicked rates for later\n",
    "ev_clk_r=ev_clk/float(list_size)\n",
    "nv_clk_r=nv_clk/float(list_size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.4 Subscriber Engagement Distributions <a class=\"anchor\" id=\"3.4-bullet\"></a>\n",
    "#### Distribution of average user open rate for subscribers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FD/G/2a6jjsuaLlsVPUaj0PnltXn4vFuLHqPRcLsPDZnrk4bKtUlD5vqkoWoUt/ICAADQ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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b8982d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,10))\n",
    "member_data_frame[member_data_frame.status=='subscribed'].open.hist(color=c1)\n",
    "#plt.title('Section 3.4 Distribution of User Unique Open Rates',fontdict={'fontsize':25})\n",
    "plt.xlabel(\"User Unique Open Rate\",fontdict={'fontsize':20})\n",
    "plt.ylabel(\"Subscriber Count\",fontdict={'fontsize':20})\n",
    "plt.yticks(fontsize=15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.savefig(oupt_dir+'/Section_3.4_Distribution_of_User_Average_Open_Rates.png')   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Distribution of average user click rate for subscribers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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h4SF3d/da/Uwmk/bv3+/QIgEAAAAArsvuYPrvf/9bkhQUFNRgxQAAAAAAGh+7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\nc2atbffcc49eeeUVpaenKyI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M5DZt2rRpxVTXX5qbm5vsdrsWLVqk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110232250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,10))\n",
    "member_data_frame[member_data_frame.status=='subscribed'].click.hist(color=c1)\n",
    "#plt.title('Section 3.4 Distribution of User Unique Click Rates',fontdict={'fontsize':25})\n",
    "plt.xlabel(\"User Unique Click Rate\",fontdict={'fontsize':20})\n",
    "plt.ylabel(\"Subscriber Count\",fontdict={'fontsize':20})\n",
    "plt.yticks(fontsize=15)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.savefig(oupt_dir+'/Section_3.4_Distribution_of_User_Average_Click_Rates.png')   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 3.5 Investigating Churn <a class=\"anchor\" id=\"3.5-bullet\"></a>\n",
    "#### Lifetime Unsubscribe Rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22.5687294069\n"
     ]
    }
   ],
   "source": [
    "# unsubscribe rate: over the lifetime of your list for everyone who successfully subscribed x% unsubscribed \n",
    "# or, another way to think about this is on average over the lifetime of your list for every 100 people who successfully subscribed, x number of people unsubscribed \n",
    "life_unsub=unsubscribed/float(unsubscribed+subscribed+cln)*100\n",
    "print life_unsub"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Lifetime Subscribe Rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "59.0249176277\n"
     ]
    }
   ],
   "source": [
    "# subscribe rate: over the lifetime of your list on average for everyone who successfully subscribed x% are still subscribed. \n",
    "life_sub=subscribed/float(subscribed+unsubscribed+cln)*100\n",
    "print life_sub"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Lifetime Cleaned Rate "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "18.4063529654\n"
     ]
    }
   ],
   "source": [
    "# cleaned rate: of everyone who has ever had a status of subscribed, what been removed due to bounces?  \n",
    "life_clean=cln/float(subscribed+unsubscribed+cln)*100\n",
    "print life_clean"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Section 4 Export Results of Notebook 1 to Folder  <a class=\"anchor\" id=\"4-bullet\"></a>\n",
    ":bowtie:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# export data \n",
    "\n",
    "exec_dict={'Shorenstein Notebook 1':{\n",
    " 1: u'3.1 List Composition Analysis',\n",
    " 2: u'Tr12d86b1d6aaditionally measured list size',\n",
    " 3: u'Total unique email records ',\n",
    " 4: u'Composition of total unique email records by status ',\n",
    " 10: u'3.2 List Lifetime Ratios',\n",
    " 11: u'Lifetime Unsubscribe Rate',\n",
    " 12: u'Lifetime Subscribe Rate',\n",
    " 13: u'Lifetime Cleaned Rate',\n",
    " 15: u'Section 3.3 Reader Activity',\n",
    " 16: u'Ever Opened',\n",
    " 17: u'Never Opened',\n",
    " 19: u'Ever Clicked',\n",
    " 20: u'Never Clicked'},\n",
    "          '1':{2:list_size,3:total_un_eml,5: u'subscribed',\n",
    "                             6: u'unsubscribed',7: u'cleaned',8: u'pending',\n",
    "                           11:life_unsub,\n",
    "                           12:life_sub,\n",
    "                           13:life_clean,\n",
    "                            16:ev_opn,\n",
    "                            17:nv_opn,\n",
    "                            19:ev_clk,\n",
    "                            20:nv_clk},\n",
    "          \"2\":{5:subscribed,\n",
    "                                6:unsubscribed,\n",
    "                                7:cln,\n",
    "                                8:pndg,\n",
    "                                16:ev_opn_r,\n",
    "                                17:nv_opn_r,\n",
    "                                19:ev_clk_r,\n",
    "                                20:nv_clk_r}}\n",
    "\n",
    "ex_rpt=pd.DataFrame(exec_dict)\n",
    "\n",
    "ex_rpt['']=ex_rpt['1']\n",
    "\n",
    "ex_rpt[' ']=ex_rpt['2']\n",
    "\n",
    "del ex_rpt[\"1\"]\n",
    "del ex_rpt[\"2\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ex_rpt.to_csv(oupt_dir+'/Shorenstein Notebook 1 executive report.csv',index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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