{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.7.1 | packaged by conda-forge | (default, Nov 13 2018, 09:50:42) \n", "[Clang 9.0.0 (clang-900.0.37)]\n" ] } ], "source": [ "import sys\n", "print(sys.version)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CustomerIDTimeRevenue
012014-01-312000.0
112014-02-282000.0
212014-03-312000.0
312014-04-302000.0
412014-05-312000.0
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" ], "text/plain": [ " CustomerID Time Revenue\n", "0 1 2014-01-31 2000.0\n", "1 1 2014-02-28 2000.0\n", "2 1 2014-03-31 2000.0\n", "3 1 2014-04-30 2000.0\n", "4 1 2014-05-31 2000.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create the list of Customer IDs for dataframe\n", "x = [int(customer) for customer in range(1,200) for date in range(1,49)]\n", "\n", "#Create the date range for all the revenue data and customers\n", "dates_list = []\n", "date_rng = pd.date_range(start='1/31/2014', end='12/31/2017', freq='M')\n", "for i in range(199):\n", " for j in date_rng:\n", " dates_list.append(j)\n", "\n", "# Get the revenues from the Excel spreadsheet imported as dataframe named orig_df\n", "rev_list = []\n", "for customer in range(0,199):\n", " for rev in range(0,48):\n", " rev_list.append(orig_df.iloc[rev,customer])\n", " \n", "# create the dataframe with the data we will work from:\n", "rawdata = {'CustomerID': x, 'Time': dates_list, 'Revenue': rev_list}\n", "df_data = pd.DataFrame(rawdata, columns = ['CustomerID','Time','Revenue'])\n", "df_data.head()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CustomerIDRevenue
count9552.0000009552.000000
mean100.000000750.663612
std57.4486341063.002117
min1.0000000.000000
25%50.0000000.000000
50%100.0000000.000000
75%150.0000002000.000000
max199.0000003456.000000
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" ], "text/plain": [ " CustomerID Revenue\n", "count 9552.000000 9552.000000\n", "mean 100.000000 750.663612\n", "std 57.448634 1063.002117\n", "min 1.000000 0.000000\n", "25% 50.000000 0.000000\n", "50% 100.000000 0.000000\n", "75% 150.000000 2000.000000\n", "max 199.000000 3456.000000" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Given our dataset has nan values, we want to fill them with 0 for proper calculations\n", "df_data = df_data.fillna(0)\n", "df_data.describe()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 9552 entries, 0 to 9551\n", "Data columns (total 3 columns):\n", "CustomerID 9552 non-null int64\n", "Time 9552 non-null datetime64[ns]\n", "Revenue 9552 non-null float64\n", "dtypes: datetime64[ns](1), float64(1), int64(1)\n", "memory usage: 224.0 KB\n" ] } ], "source": [ "df_data.info()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CustomerIDRevenue
count3350.0000003350.000000
mean56.1020902140.399647
std44.550243497.079757
min1.000000822.199723
25%20.0000002000.000000
50%45.0000002000.000000
75%83.0000002400.000000
max199.0000003456.000000
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" ], "text/plain": [ " CustomerID Revenue\n", "count 3350.000000 3350.000000\n", "mean 56.102090 2140.399647\n", "std 44.550243 497.079757\n", "min 1.000000 822.199723\n", "25% 20.000000 2000.000000\n", "50% 45.000000 2000.000000\n", "75% 83.000000 2400.000000\n", "max 199.000000 3456.000000" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Filter out all records where Revenue is 0\n", "df = df_data.query('Revenue > 0')\n", "df.describe()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TimeCustomerIDRevenue
02014-01-3136000.00000
12014-02-2859960.00000
22014-03-31713920.80000
32014-04-301121882.38400
42014-05-311529764.73632
\n", "
" ], "text/plain": [ " Time CustomerID Revenue\n", "0 2014-01-31 3 6000.00000\n", "1 2014-02-28 5 9960.00000\n", "2 2014-03-31 7 13920.80000\n", "3 2014-04-30 11 21882.38400\n", "4 2014-05-31 15 29764.73632" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a table with revenue and customer count by month\n", "# Grouped by Time (month) with CustomerID count and Revenue sum\n", "g = df.groupby(['Time']).agg({'CustomerID':'count','Revenue':'sum'}).reset_index()\n", "g.head()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# code below modefied from this excellent post: https://assemblinganalytics.com/post/cohort-analysis-python/\n", "# We want to build a line chart showing MRR growth and customer count growth\n", "\n", "def dualAxis2Lines(timeAxis, y, z, title, axis_1_label, axis_2_label):\n", " sns.set_style(\"darkgrid\",{\"xtick.major.size\": 4, \"ytick.major.size\": 4})\n", " colors =[sns.xkcd_rgb[\"denim blue\"],sns.xkcd_rgb[\"medium green\"], sns.xkcd_rgb[\"pale red\"]]\n", " fig, ax = plt.subplots()\n", " fig.set_size_inches(14,8)\n", "\n", " ax.plot(timeAxis,y, color=colors[0], linewidth=4, label=axis_1_label)\n", " ax.legend(loc='upper center',bbox_to_anchor=(0.7, 1))\n", " ax.fill_between(timeAxis.dt.to_pydatetime(), y, color=colors[1], alpha=0.3) #Create an area chart\n", " ax.set_ylabel(axis_1_label, fontsize=18, color=colors[0])\n", " vals = ax.get_yticks()\n", " ax.set_yticklabels(['{:,}'.format(x) for x in vals])\n", "\n", " ax2 = ax.twinx()\n", " ax2.plot(timeAxis,z, color=colors[2], linewidth=4, label=axis_2_label)\n", " ax2.legend(loc='upper center', bbox_to_anchor=(0.725, .95))\n", " ax2.set_ylabel(axis_2_label, fontsize=18, color=colors[2])\n", "\n", " fig.autofmt_xdate()\n", " fig.suptitle(title, fontsize=18)\n", " # fig.savefig('MRR.png')\n", "\n", "title = 'MRR and Customers Count'\n", "axis_1_label = 'MRR($)'\n", "axis_2_label = 'Customers Count'\n", "dualAxis2Lines(g[\"Time\"], g[\"Revenue\"], g[\"CustomerID\"], title, axis_1_label, axis_2_label)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " CustomerID Time Revenue\n", "0 1 2014-01-31 2000.0\n", "1 1 2014-02-28 2000.0\n", "2 1 2014-03-31 2000.0\n", "3 1 2014-04-30 2000.0\n", "4 1 2014-05-31 2000.0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/austinconner/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:2: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n", " \n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " CustomerID Time Revenue OrderPeriod\n", "0 1 2014-01-31 2000.0 2014-01\n", "1 1 2014-02-28 2000.0 2014-02\n", "2 1 2014-03-31 2000.0 2014-03\n", "3 1 2014-04-30 2000.0 2014-04\n", "4 1 2014-05-31 2000.0 2014-05" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create an OrderPeriod column to indicate the month the revenues were billed\n", "df['OrderPeriod'] = df['Time'].apply(lambda x: x.strftime('%Y-%m'))\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/austinconner/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:3: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n", " This is separate from the ipykernel package so we can avoid doing imports until\n" ] }, { "data": { "text/html": [ "
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CustomerIDTimeRevenueOrderPeriodCohortGroup
012014-01-312000.02014-012014-01
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" ], "text/plain": [ " CustomerID Time Revenue OrderPeriod CohortGroup\n", "0 1 2014-01-31 2000.0 2014-01 2014-01\n", "1 1 2014-02-28 2000.0 2014-02 2014-01\n", "2 1 2014-03-31 2000.0 2014-03 2014-01\n", "3 1 2014-04-30 2000.0 2014-04 2014-01\n", "4 1 2014-05-31 2000.0 2014-05 2014-01" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Determine the user's cohort group\n", "df.set_index('CustomerID',inplace=True)\n", "df['CohortGroup'] = df.groupby(level=0)['Time'].min().apply(lambda x: x.strftime('%Y-%m'))\n", "df.reset_index(inplace=True)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/austinconner/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:3: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n", " This is separate from the ipykernel package so we can avoid doing imports until\n" ] }, { "data": { "text/html": [ "
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CustomerIDTimeRevenueOrderPeriodCohortGroupCohortYear
012014-01-312000.02014-012014-012014
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" ], "text/plain": [ " CustomerID Time Revenue OrderPeriod CohortGroup CohortYear\n", "0 1 2014-01-31 2000.0 2014-01 2014-01 2014\n", "1 1 2014-02-28 2000.0 2014-02 2014-01 2014\n", "2 1 2014-03-31 2000.0 2014-03 2014-01 2014\n", "3 1 2014-04-30 2000.0 2014-04 2014-01 2014\n", "4 1 2014-05-31 2000.0 2014-05 2014-01 2014" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Determine the user's cohort group YEAR\n", "df.set_index('CustomerID',inplace=True)\n", "df['CohortYear'] = df.groupby(level=0)['Time'].min().apply(lambda x: x.strftime('%Y'))\n", "df.reset_index(inplace=True)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TimeCohortYearRevenue
02014-12-3120142000.0
12015-12-3120142400.0
22016-12-3120142880.0
32017-12-3120143456.0
42014-12-3120142000.0
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" ], "text/plain": [ " Time CohortYear Revenue\n", "0 2014-12-31 2014 2000.0\n", "1 2015-12-31 2014 2400.0\n", "2 2016-12-31 2014 2880.0\n", "3 2017-12-31 2014 3456.0\n", "4 2014-12-31 2014 2000.0" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Grab the December months of Revenue data to calc the ARR totals for each cohort year\n", "df_dec = df[(df['Time']== '2014-12-31') | (df['Time']== '2015-12-31') | (df['Time']== '2016-12-31') | (df['Time']== '2017-12-31')]\n", "df_dec = df_dec[['Time','CohortYear','Revenue']]\n", "df_dec = df_dec.reset_index(drop=True)\n", "df_dec.head()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MRRARR
TimeCohortYear
2014-12-31201450164.1372456.019696e+05
2015-12-31201454314.8353736.517780e+05
201564063.4349667.687612e+05
2016-12-31201460561.9971997.267440e+05
201571035.8126118.524298e+05
201680104.2475669.612510e+05
2017-12-31201464778.7716937.773453e+05
201575148.9125489.017870e+05
201683101.5012059.972180e+05
2017198000.0000002.376000e+06
\n", "
" ], "text/plain": [ " MRR ARR\n", "Time CohortYear \n", "2014-12-31 2014 50164.137245 6.019696e+05\n", "2015-12-31 2014 54314.835373 6.517780e+05\n", " 2015 64063.434966 7.687612e+05\n", "2016-12-31 2014 60561.997199 7.267440e+05\n", " 2015 71035.812611 8.524298e+05\n", " 2016 80104.247566 9.612510e+05\n", "2017-12-31 2014 64778.771693 7.773453e+05\n", " 2015 75148.912548 9.017870e+05\n", " 2016 83101.501205 9.972180e+05\n", " 2017 198000.000000 2.376000e+06" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Split, Apply, Combine\n", "dec_mrr = df_dec.groupby(['Time','CohortYear']).agg({'Revenue': np.sum})\n", "dec_mrr.rename(columns = {'Revenue': 'MRR'},inplace=True)\n", "# create an ARR column\n", "dec_mrr['ARR'] = dec_mrr['MRR'] * 12\n", "dec_mrr" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MRRARR
TimeCohortYear
2014-12-31201450164601969
2015-12-31201454314651778
201564063768761
2016-12-31201460561726743
201571035852429
201680104961250
2017-12-31201464778777345
201575148901786
201683101997218
20171980002376000
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" ], "text/plain": [ " MRR ARR\n", "Time CohortYear \n", "2014-12-31 2014 50164 601969\n", "2015-12-31 2014 54314 651778\n", " 2015 64063 768761\n", "2016-12-31 2014 60561 726743\n", " 2015 71035 852429\n", " 2016 80104 961250\n", "2017-12-31 2014 64778 777345\n", " 2015 75148 901786\n", " 2016 83101 997218\n", " 2017 198000 2376000" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# change MRR and ARR to integers for bar chart purposes\n", "dec_mrr.MRR = dec_mrr.MRR.astype(int)\n", "dec_mrr.ARR = dec_mrr.ARR.astype(int)\n", "dec_mrr" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Quickly use Pandas Built-in Data Vizualization to view ARR growth by cohort\n", "g_stack = dec_mrr.drop('MRR', axis=1)\n", "g_stack = g_stack.unstack()\n", "g_stack.plot.bar(stacked=True);" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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ARR
CohortYear2014201520162017
Time
2014-12-31601969.00.00.00.0
2015-12-31651778.0768761.00.00.0
2016-12-31726743.0852429.0961250.00.0
2017-12-31777345.0901786.0997218.02376000.0
\n", "
" ], "text/plain": [ " ARR \n", "CohortYear 2014 2015 2016 2017\n", "Time \n", "2014-12-31 601969.0 0.0 0.0 0.0\n", "2015-12-31 651778.0 768761.0 0.0 0.0\n", "2016-12-31 726743.0 852429.0 961250.0 0.0\n", "2017-12-31 777345.0 901786.0 997218.0 2376000.0" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# looking at the data one more time\n", "g_stack = g_stack.fillna(0)\n", "g_stack" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets make the chart look a bit better\n", "import matplotlib\n", "matplotlib.style.use('ggplot')\n", "color = ['r','g','b','#74C476']\n", "N = 4\n", "x_loc = np.arange(N)\n", "width = 0.4\n", "data1 = g_stack['ARR','2014']\n", "data2 = g_stack['ARR','2015']\n", "data3 = g_stack['ARR','2016']\n", "data4 = g_stack['ARR','2017']\n", "\n", "cht_yr_14 = plt.bar(x_loc, data1, width, color = color[3])\n", "cht_yr_15 = plt.bar(x_loc, data2, width, bottom = data1, color = color[0])\n", "cht_yr_16 = plt.bar(x_loc, data3, width, bottom = data1 + data2, color = color[1])\n", "cht_yr_17 = plt.bar(x_loc, data4, width, bottom = data1 + data2 + data3, color = color[2])\n", "\n", "plt.xticks(x_loc, ('2014','2015','2016','2017'))\n", "plt.ylabel('$ ARR')\n", "plt.title('Total ARR by Cohort Year')\n", "plt.legend((cht_yr_14[0], cht_yr_15[0], cht_yr_16[0],cht_yr_17[0]),\n", " ('2014 Cohort', '2015 Cohort','2016 Cohort','2017 Cohort'))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With a stacked bar chart, it is easy to see the growth that occurs within each cohort group. In this example data, during 2017, the 2017 cohort provided most of the growth while not much expansion occurs for the other years." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, I am going to use a box plot and violin chart to examine the monthly billings for each customer and how that differs by cohort year." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TimeCohortYearRevenue
02014-12-3120142000.0
12015-12-3120142400.0
22016-12-3120142880.0
32017-12-3120143456.0
42014-12-3120142000.0
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" ], "text/plain": [ " Time CohortYear Revenue\n", "0 2014-12-31 2014 2000.0\n", "1 2015-12-31 2014 2400.0\n", "2 2016-12-31 2014 2880.0\n", "3 2017-12-31 2014 3456.0\n", "4 2014-12-31 2014 2000.0" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# check out the dataframe we plan to use for the next data visualization\n", "df_dec.head()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/austinconner/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we are only interested in Dec 2017 data so lets grab that and create some charts\n", "df_pricing = df_dec[df_dec['Time'] == '2017-12-31']\n", "sns.distplot(df_pricing['Revenue'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easy to see that the most common monthly price is $2000. How does pricing differ by year?" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/austinconner/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.swarmplot(x = 'CohortYear', y='Revenue',data=df_pricing, palette = 'Set1')\n", "sns.violinplot(x = 'CohortYear', y='Revenue',data=df_pricing, palette = 'Set1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Combining the swarm and violin plots allows us to see that the 2014 cohort has the highest average pricing but with a few outliers well-below the average. These could be legacy contracts on grandfathered pricing. 2017 skews the overall pricing data with all customers paying $2000 per month.\n", "\n", "Now lets look at # of customers at the end of 2017. Is the 2017 Cohort ARR larger because of average ACV (annual contract value) or is it because it has more customers?" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CohortYearTimeCustomerID
020142017-12-311
120142017-12-312
220142017-12-314
320142017-12-315
420142017-12-316
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" ], "text/plain": [ " CohortYear Time CustomerID\n", "0 2014 2017-12-31 1\n", "1 2014 2017-12-31 2\n", "2 2014 2017-12-31 4\n", "3 2014 2017-12-31 5\n", "4 2014 2017-12-31 6" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_dec_cust = df[df['Time']== '2017-12-31']\n", "df_dec_cust = df_dec_cust[['CohortYear','Time','CustomerID']]\n", "df_dec_cust = df_dec_cust.reset_index(drop=True)\n", "df_dec_cust.head()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TotalCustomers
CohortYear
201421
201528
201636
201799
\n", "
" ], "text/plain": [ " TotalCustomers\n", "CohortYear \n", "2014 21\n", "2015 28\n", "2016 36\n", "2017 99" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Split, Apply, Combine\n", "df_dec_cust = df_dec_cust.groupby(['CohortYear']).agg({'CustomerID': pd.Series.nunique})\n", "df_dec_cust.rename(columns = {'CustomerID': 'TotalCustomers'},inplace=True)\n", "\n", "df_dec_cust" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "df_dec_cust.reset_index(inplace=True)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[Text(0,0.5,''), (0, 100), Text(0.5,0,'# of Customers')]" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Seaborn summary chart\n", "sns.set(style=\"whitegrid\")\n", "# Initialize the matplotlib figure\n", "f, ax = plt.subplots(figsize=(8,5))\n", "# Plot the total purchases\n", "sns.set_color_codes(\"pastel\")\n", "sns.barplot(x=\"TotalCustomers\", y=\"CohortYear\", data=df_dec_cust, \n", " label=\"# of Customers\", color=\"b\",orient='h',\n", " order=df_dec_cust['CohortYear'])\n", "\n", "# Add a legend and informative axis label\n", "ax.set(xlim=(0, 100), ylabel=\"\", xlabel=\"# of Customers\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This bar chart confirms what we could extrapolate from the others ~ 2017 cohort had the most customers." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Customer and Revenue Retention by Cohort Grouping" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CustomerIDTimeRevenueOrderPeriodCohortGroup
012014-01-312000.02014-012014-01
112014-02-282000.02014-022014-01
212014-03-312000.02014-032014-01
312014-04-302000.02014-042014-01
412014-05-312000.02014-052014-01
\n", "
" ], "text/plain": [ " CustomerID Time Revenue OrderPeriod CohortGroup\n", "0 1 2014-01-31 2000.0 2014-01 2014-01\n", "1 1 2014-02-28 2000.0 2014-02 2014-01\n", "2 1 2014-03-31 2000.0 2014-03 2014-01\n", "3 1 2014-04-30 2000.0 2014-04 2014-01\n", "4 1 2014-05-31 2000.0 2014-05 2014-01" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TotalCustomersMRR
CohortGroupOrderPeriod
2014-012014-0136000.00000
2014-0235960.00000
2014-0335920.80000
2014-0435882.38400
2014-0535844.73632
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" ], "text/plain": [ " TotalCustomers MRR\n", "CohortGroup OrderPeriod \n", "2014-01 2014-01 3 6000.00000\n", " 2014-02 3 5960.00000\n", " 2014-03 3 5920.80000\n", " 2014-04 3 5882.38400\n", " 2014-05 3 5844.73632" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 1st look at Customer retention\n", "grouped = df.groupby(['CohortGroup','OrderPeriod'])\n", "# count the unique users, orders and total revenue per Group + Period\n", "cohorts = grouped.agg({'CustomerID': pd.Series.nunique,\n", " 'Revenue': np.sum})\n", "# make column names easier to identify\n", "cohorts.rename(columns={'CustomerID':'TotalCustomers',\n", " 'Revenue': 'MRR'}, inplace=True)\n", "cohorts.head()" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TotalCustomersMRRCohortPeriod
CohortGroupOrderPeriod
2014-012014-0136000.000001
2014-0235960.000002
2014-0335920.800003
2014-0435882.384004
2014-0535844.736325
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" ], "text/plain": [ " TotalCustomers MRR CohortPeriod\n", "CohortGroup OrderPeriod \n", "2014-01 2014-01 3 6000.00000 1\n", " 2014-02 3 5960.00000 2\n", " 2014-03 3 5920.80000 3\n", " 2014-04 3 5882.38400 4\n", " 2014-05 3 5844.73632 5" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Label the CohortPeriod for each CohortGroup\n", "#index each cohort to their first purchase month\n", "def cohort_period(df):\n", " df['CohortPeriod'] = np.arange(len(df)) +1\n", " return df\n", "cohorts = cohorts.groupby(level=0).apply(cohort_period)\n", "cohorts.head()" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [], "source": [ "# MAKE SURE THINGS ARE WORKING - if this throws an error, go back and correct where necessary\n", "x = df[(df.CohortGroup=='2016-01') & (df.OrderPeriod == '2016-01')]\n", "y = cohorts.loc['2016-01', '2016-01']\n", "#print(test_x)\n", "#print(test_y)\n", "assert(x['CustomerID'].nunique() == y['TotalCustomers'])\n", "assert(x['Revenue'].sum().round(2) == y['MRR'].round(2))" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CohortGroup\n", "2014-01 3\n", "2014-02 2\n", "2014-03 2\n", "2014-04 4\n", "2014-05 4\n", "Name: TotalCustomers, dtype: int64" ] }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# reindex the DataFrame\n", "cohorts.reset_index(inplace=True)\n", "cohorts.set_index(['CohortGroup','CohortPeriod'], inplace=True)\n", "\n", "# create a Series holding the total size of each CohortGroup\n", "cohort_group_size = cohorts['TotalCustomers'].groupby(level=0).first()\n", "cohort_group_size.head()" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "CohortGroup CohortPeriod\n", "2014-01 1 3\n", " 2 3\n", " 3 3\n", " 4 3\n", " 5 3\n", "Name: TotalCustomers, dtype: int64" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Divide TotalUsers values in cohorts by cohort_group_size.\n", "# UNSTACK on our cohorts DataFrame to create a matrix where each column represents a CohortGroup and each row\n", "# is a CohortPeriod corresponding to that group\n", "cohorts['TotalCustomers'].head()" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CohortGroup2014-012014-022014-032014-042014-052014-062014-072014-082014-092014-10...2017-032017-042017-052017-062017-072017-082017-092017-102017-112017-12
CohortPeriod
13.02.02.04.04.01.01.02.03.01.0...6.08.08.08.09.09.08.010.011.010.0
23.02.02.04.04.01.01.02.03.01.0...6.08.08.08.09.09.08.010.011.0NaN
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43.02.02.04.04.01.01.02.03.01.0...6.08.08.08.09.09.08.0NaNNaNNaN
53.02.02.04.04.01.01.02.03.01.0...6.08.08.08.09.09.0NaNNaNNaNNaN
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5 rows × 48 columns

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" ], "text/plain": [ "CohortGroup 2014-01 2014-02 2014-03 2014-04 2014-05 2014-06 2014-07 \\\n", "CohortPeriod \n", "1 3.0 2.0 2.0 4.0 4.0 1.0 1.0 \n", "2 3.0 2.0 2.0 4.0 4.0 1.0 1.0 \n", "3 3.0 2.0 2.0 4.0 4.0 1.0 1.0 \n", "4 3.0 2.0 2.0 4.0 4.0 1.0 1.0 \n", "5 3.0 2.0 2.0 4.0 4.0 1.0 1.0 \n", "\n", "CohortGroup 2014-08 2014-09 2014-10 ... 2017-03 2017-04 2017-05 \\\n", "CohortPeriod ... \n", "1 2.0 3.0 1.0 ... 6.0 8.0 8.0 \n", "2 2.0 3.0 1.0 ... 6.0 8.0 8.0 \n", "3 2.0 3.0 1.0 ... 6.0 8.0 8.0 \n", "4 2.0 3.0 1.0 ... 6.0 8.0 8.0 \n", "5 2.0 3.0 1.0 ... 6.0 8.0 8.0 \n", "\n", "CohortGroup 2017-06 2017-07 2017-08 2017-09 2017-10 2017-11 2017-12 \n", "CohortPeriod \n", "1 8.0 9.0 9.0 8.0 10.0 11.0 10.0 \n", "2 8.0 9.0 9.0 8.0 10.0 11.0 NaN \n", "3 8.0 9.0 9.0 8.0 10.0 NaN NaN \n", "4 8.0 9.0 9.0 8.0 NaN NaN NaN \n", "5 8.0 9.0 9.0 NaN NaN NaN NaN \n", "\n", "[5 rows x 48 columns]" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# unstack the CohortGroup level from the index\n", "cohorts['TotalCustomers'].unstack(0).head()" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CohortGroup2014-012014-022014-032014-042014-052014-062014-072014-082014-092014-10...2017-032017-042017-052017-062017-072017-082017-092017-102017-112017-12
CohortPeriod
11.01.01.01.01.01.01.01.01.01.0...1.01.01.01.01.01.01.01.01.01.0
21.01.01.01.01.01.01.01.01.01.0...1.01.01.01.01.01.01.01.01.0NaN
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51.01.01.01.01.01.01.01.01.01.0...1.01.01.01.01.01.0NaNNaNNaNNaN
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5 rows × 48 columns

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" ], "text/plain": [ "CohortGroup 2014-01 2014-02 2014-03 2014-04 2014-05 2014-06 2014-07 \\\n", "CohortPeriod \n", "1 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "2 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "3 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "4 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "5 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "\n", "CohortGroup 2014-08 2014-09 2014-10 ... 2017-03 2017-04 2017-05 \\\n", "CohortPeriod ... \n", "1 1.0 1.0 1.0 ... 1.0 1.0 1.0 \n", "2 1.0 1.0 1.0 ... 1.0 1.0 1.0 \n", "3 1.0 1.0 1.0 ... 1.0 1.0 1.0 \n", "4 1.0 1.0 1.0 ... 1.0 1.0 1.0 \n", "5 1.0 1.0 1.0 ... 1.0 1.0 1.0 \n", "\n", "CohortGroup 2017-06 2017-07 2017-08 2017-09 2017-10 2017-11 2017-12 \n", "CohortPeriod \n", "1 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "2 1.0 1.0 1.0 1.0 1.0 1.0 NaN \n", "3 1.0 1.0 1.0 1.0 1.0 NaN NaN \n", "4 1.0 1.0 1.0 1.0 NaN NaN NaN \n", "5 1.0 1.0 1.0 NaN NaN NaN NaN \n", "\n", "[5 rows x 48 columns]" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# divide each column by the corresponding cohort size to get a user retention %\n", "user_retention = cohorts['TotalCustomers'].unstack(0).divide(cohort_group_size,axis=1)\n", "user_retention.head()" ] }, { "cell_type": "code", "execution_count": 146, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# pick a few cohorts to plot to see differences or similarities\n", "matplotlib.style.use('ggplot')\n", "user_retention[['2014-04', '2015-06', '2016-05']].plot(figsize=(14,5))\n", "plt.title('Cohorts: User Retention')\n", "plt.xticks(np.arange(1, 48.1, 1))\n", "plt.xlim(1, 48)\n", "plt.ylabel('% of User Retention');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This chart is interesting because it shows that each one of these cohorts has had churn." ] }, { "cell_type": "code", "execution_count": 130, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
CohortGroup2016-012016-022016-032016-042016-052016-062016-072016-082016-092016-102016-112016-12
CohortPeriod
11.01.01.01.01.01.01.01.01.01.01.01.0
21.01.01.01.01.01.01.01.01.01.01.01.0
\n", "
" ], "text/plain": [ "CohortGroup 2016-01 2016-02 2016-03 2016-04 2016-05 2016-06 2016-07 \\\n", "CohortPeriod \n", "1 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "2 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "\n", "CohortGroup 2016-08 2016-09 2016-10 2016-11 2016-12 \n", "CohortPeriod \n", "1 1.0 1.0 1.0 1.0 1.0 \n", "2 1.0 1.0 1.0 1.0 1.0 " ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# grab a subset of user_retention dataframe so heatmap doesn't contain too many datapoints\n", "user_ret_subset = user_retention.iloc[:25,24:36]\n", "user_ret_subset.head(2)" ] }, { "cell_type": "code", "execution_count": 133, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set(style='white')\n", "plt.figure(figsize=(18, 14))\n", "plt.title('Cohorts: User Retention')\n", "sns.heatmap(user_ret_subset.T, mask=user_ret_subset.T.isnull(), annot=True, fmt='.0%',cmap=\"Blues\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the 2016 cohort, customer retention is quite high. Only customers from the March, May, July, October and December months have churned. \n", "\n", "Lets now switch over to revenue retention." ] }, { "cell_type": "code", "execution_count": 135, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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OrderPeriodTotalCustomersMRR
CohortGroupCohortPeriod
2014-0112014-0136000.00000
22014-0235960.00000
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" ], "text/plain": [ " OrderPeriod TotalCustomers MRR\n", "CohortGroup CohortPeriod \n", "2014-01 1 2014-01 3 6000.00000\n", " 2 2014-02 3 5960.00000\n", " 3 2014-03 3 5920.80000\n", " 4 2014-04 3 5882.38400\n", " 5 2014-05 3 5844.73632" ] }, "execution_count": 135, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cohorts.head()" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CohortGroup2014-012014-022014-032014-042014-052014-062014-072014-082014-092014-10...2017-032017-042017-052017-062017-072017-082017-092017-102017-112017-12
CohortPeriod
11.0000001.01.01.0000001.0000001.01.01.0000001.0000001.0...1.01.01.01.01.01.01.01.01.01.0
20.9933331.01.00.9900000.9900001.01.00.9900000.9933331.0...1.01.01.01.01.01.01.01.01.0NaN
30.9868001.01.00.9802000.9802001.01.00.9802000.9868001.0...1.01.01.01.01.01.01.01.0NaNNaN
40.9803971.01.00.9705960.9705961.01.00.9705960.9803971.0...1.01.01.01.01.01.01.0NaNNaNNaN
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5 rows × 48 columns

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" ], "text/plain": [ "CohortGroup 2014-01 2014-02 2014-03 2014-04 2014-05 2014-06 \\\n", "CohortPeriod \n", "1 1.000000 1.0 1.0 1.000000 1.000000 1.0 \n", "2 0.993333 1.0 1.0 0.990000 0.990000 1.0 \n", "3 0.986800 1.0 1.0 0.980200 0.980200 1.0 \n", "4 0.980397 1.0 1.0 0.970596 0.970596 1.0 \n", "5 0.974123 1.0 1.0 0.961184 0.961184 1.0 \n", "\n", "CohortGroup 2014-07 2014-08 2014-09 2014-10 ... 2017-03 2017-04 \\\n", "CohortPeriod ... \n", "1 1.0 1.000000 1.000000 1.0 ... 1.0 1.0 \n", "2 1.0 0.990000 0.993333 1.0 ... 1.0 1.0 \n", "3 1.0 0.980200 0.986800 1.0 ... 1.0 1.0 \n", "4 1.0 0.970596 0.980397 1.0 ... 1.0 1.0 \n", "5 1.0 0.961184 0.974123 1.0 ... 1.0 1.0 \n", "\n", "CohortGroup 2017-05 2017-06 2017-07 2017-08 2017-09 2017-10 2017-11 \\\n", "CohortPeriod \n", "1 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "2 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \n", "3 1.0 1.0 1.0 1.0 1.0 1.0 NaN \n", "4 1.0 1.0 1.0 1.0 1.0 NaN NaN \n", "5 1.0 1.0 1.0 1.0 NaN NaN NaN \n", "\n", "CohortGroup 2017-12 \n", "CohortPeriod \n", "1 1.0 \n", "2 NaN \n", "3 NaN \n", "4 NaN \n", "5 NaN \n", "\n", "[5 rows x 48 columns]" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# create a Series holding the total MRR of each CohortGroup\n", "cohort_group_MRR = cohorts['MRR'].groupby(level=0).first()\n", "cohort_group_MRR.head()\n", "# Divide TotalUsers values in cohorts by cohort_group_size.\n", "# UNSTACK on our cohorts DataFrame to create a matrix where each column represents a CohortGroup and each row\n", "# is a CohortPeriod corresponding to that group\n", "cohorts['MRR'].head()\n", "# unstack the CohortGroup level from the index\n", "cohorts['MRR'].unstack(0).head()\n", "# divide each column by the corresponding cohort size to get a user retention %\n", "rev_retention = cohorts['MRR'].unstack(0).divide(cohort_group_MRR,axis=1)\n", "rev_retention.head()" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ "CohortGroup 2014-01 2014-02 2014-03 2014-04 2014-05 2014-06 2014-07 \\\n", "CohortPeriod \n", "44 1.152 1.728 1.728 0.968872 0.968872 NaN NaN \n", "45 1.152 1.728 1.728 0.966775 NaN NaN NaN \n", "46 1.152 1.728 1.728 NaN NaN NaN NaN \n", "47 1.152 1.728 NaN NaN NaN NaN NaN \n", "48 1.152 NaN NaN NaN NaN NaN NaN \n", "\n", "CohortGroup 2014-08 2014-09 2014-10 ... 2017-03 2017-04 2017-05 \\\n", "CohortPeriod ... \n", "44 NaN NaN NaN ... NaN NaN NaN \n", "45 NaN NaN NaN ... NaN NaN NaN \n", "46 NaN NaN NaN ... NaN NaN NaN \n", "47 NaN NaN NaN ... NaN NaN NaN \n", "48 NaN NaN NaN ... NaN NaN NaN \n", "\n", "CohortGroup 2017-06 2017-07 2017-08 2017-09 2017-10 2017-11 2017-12 \n", "CohortPeriod \n", "44 NaN NaN NaN NaN NaN NaN NaN \n", "45 NaN NaN NaN NaN NaN NaN NaN \n", "46 NaN NaN NaN NaN NaN NaN NaN \n", "47 NaN NaN NaN NaN NaN NaN NaN \n", "48 NaN NaN NaN NaN NaN NaN NaN \n", "\n", "[5 rows x 48 columns]" ] }, "execution_count": 137, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rev_retention.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IF REVENUE RETENTION IS > 100% THEN THERE IS EXPANSION WITHIN THAT COHORT GROUP" ] }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# pick a few cohorts to plot to see differences or similarities\n", "matplotlib.style.use('ggplot')\n", "rev_retention[['2014-04', '2015-06', '2016-05']].plot(figsize=(14,5))\n", "plt.title('Cohorts: Revenue Retention')\n", "plt.xticks(np.arange(1, 48.1, 1))\n", "plt.xlim(1, 48)\n", "plt.ylabel('% of Revenue Retention');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It appears that the May 2016 cohort has decreased in revenue while the others may have had expansion offsetting churned revenue." ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CohortGroup2016-012016-022016-032016-042016-052016-062016-072016-082016-092016-102016-112016-12
CohortPeriod
11.0000001.0000001.0001.01.001.01.0000001.01.01.0001.01.000000
20.9933330.9933330.9951.00.991.00.9933331.01.00.9951.00.996667
\n", "
" ], "text/plain": [ "CohortGroup 2016-01 2016-02 2016-03 2016-04 2016-05 2016-06 \\\n", "CohortPeriod \n", "1 1.000000 1.000000 1.000 1.0 1.00 1.0 \n", "2 0.993333 0.993333 0.995 1.0 0.99 1.0 \n", "\n", "CohortGroup 2016-07 2016-08 2016-09 2016-10 2016-11 2016-12 \n", "CohortPeriod \n", "1 1.000000 1.0 1.0 1.000 1.0 1.000000 \n", "2 0.993333 1.0 1.0 0.995 1.0 0.996667 " ] }, "execution_count": 139, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# grab the same subset from user retention example so heatmap doesn't contain too many datapoints\n", "rev_ret_subset = rev_retention.iloc[:25,24:36]\n", "rev_ret_subset.head(2)" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set(style='white')\n", "plt.figure(figsize=(18, 14))\n", "plt.title('Cohorts: Revenue Retention')\n", "sns.heatmap(rev_ret_subset.T, mask=rev_ret_subset.T.isnull(), annot=True, fmt='.0%',cmap=\"YlGnBu\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interesting. The revenue retention visualization really provides more information about the 2016 customer cohort. All 12 months of cohort groups have had some churn or expansion. I would want to follow-up and figure out how customer success or onboarding (or account management) contributed to the April, June, August, September and November cohort expansion and bring those best practices to the rest of the customer base. Conversely, are there any lessons learned from the May cohort and can we turn these customers' usage around." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }