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@vladikoff
Created September 22, 2015 22:05
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"User Retention using accounts.signed events"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x106f8be50>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Fx8eHBQsW8Pzzz/Pss8/SoEEDIiMjCQ0NpXbt2jzzzDN89dVXXLt2ja5du/Lll1/i7u5+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\nEhERERERcQMVWyIiIiIiIm7w/wHZFgkVulG4FgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106fa2510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import os\n",
"from datetime import date, timedelta\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"# Only initialize Spark if testing locally\n",
"# Otherwise it should be already running within Spark\n",
"if os.environ.has_key('FXA_SPARK_TESTING'):\n",
" import spark_env\n",
"\n",
"from pyspark import SparkContext\n",
"from pyspark.sql import SQLContext, Row\n",
"\n",
"try:\n",
" __IPYTHON__\n",
"except NameError:\n",
" sc = SparkContext('local')\n",
" print \"Not in IPython, creating SparkContext manually\"\n",
"\n",
"\n",
"def week_file(week):\n",
" return '../tools/out/events-' + week + '.csv'\n",
"\n",
"# sc will be global in IPython\n",
"sqlContext = SQLContext(sc)\n",
"today = date.today()\n",
"last_monday = today - timedelta(days=-today.weekday(), weeks=1)\n",
"week_range = pd.date_range(end=last_monday, periods=12, freq='W-MON')\n",
"\n",
"WEEKS = week_range.map(lambda x: x.strftime('%Y-%m-%d'))\n",
"\n",
"out_data = []\n",
"for x in range(0, len(WEEKS)):\n",
" out_data.append([0] * len(WEEKS))\n",
"\n",
"for x in range(0, len(WEEKS)):\n",
" saved_uids = None\n",
" saved_uids_count = None\n",
"\n",
" idx = 0\n",
" for week in WEEKS[x:]:\n",
" df = sqlContext.load(source='com.databricks.spark.csv', header='true', path=week_file(week))\n",
" table_name = 'week' + week.replace('-', '_')\n",
" df.registerAsTable(table_name)\n",
"\n",
" signed_events = sqlContext.sql(\"SELECT uid FROM \" + table_name + \" WHERE event = 'account.signed'\")\n",
"\n",
" new_uids = signed_events.map(lambda p: p.uid).distinct()\n",
"\n",
" if not saved_uids:\n",
" saved_uids = new_uids\n",
" saved_uids_count = int(new_uids.count())\n",
" out_data[x][idx] = 100\n",
" else:\n",
" retention_uids = saved_uids.intersection(new_uids)\n",
" if saved_uids_count > 0:\n",
" percentage = int((float(retention_uids.count()) / float(saved_uids_count)) * 100)\n",
" else:\n",
" percentage = 0\n",
" out_data[x][idx] = percentage\n",
" idx += 1\n",
"\n",
"df = pd.DataFrame(out_data, index=week_range, columns=WEEKS)\n",
"sns.set(style='white')\n",
"plt.figure(figsize=(14, 12))\n",
"plt.title('User Retention based on \"account.signed\"')\n",
"sns.heatmap(df, annot=True, fmt='d', yticklabels=week_range, xticklabels=range(0, 12))\n",
"# Rotate labels\n",
"locs, labels = plt.yticks()\n",
"plt.setp(labels, rotation=0)\n",
"# Set axis font\n",
"font = {\n",
" 'weight': 'bold',\n",
" 'size': 22\n",
"}\n",
"# Label axis\n",
"plt.ylabel('Starting Week', **font)\n",
"plt.xlabel('Retention Weeks', **font)\n"
]
},
{
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