{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# RESEARCH IN PYTHON: DESCRIPTIVE STATISTICS AND EXPLORATORY DATA ANALYSIS\n", "# by J. NATHAN MATIAS March 10, 2015\n", "\n", "# THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n", "# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n", "# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n", "# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n", "# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n", "# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n", "# THE SOFTWARE.\n", "\n", "# THINGS TO IMPORT\n", "# This is a good baseline set of libraries to import by default if you're rushed for time.\n", "\n", "import codecs # load UTF-8 Content\n", "import json # load JSON files\n", "import pandas as pd # Pandas handles dataframes\n", "import numpy as np # Numpy handles lots of basic maths operations\n", "import matplotlib.pyplot as plt # Matplotlib for plotting\n", "import seaborn as sns # Seaborn for beautiful plots\n", "from dateutil import * # I prefer dateutil for parsing dates\n", "import math # transformations\n", "import statsmodels.formula.api as smf # for doing statistical regression\n", "import statsmodels.api as sm # access to the wider statsmodels library, including R datasets\n", "from collections import Counter # Counter is useful for grouping and counting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Acquire a Dataset" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Datasets from the R Dataset are accessible via Statsmodels\n", "# http://vincentarelbundock.github.io/Rdatasets/\n", "\n", "# U. S. State Public-School Expenditures\n", "# code book: http://vincentarelbundock.github.io/Rdatasets/doc/car/Anscombe.html\n", "# The observations are the U. S. states plus Washington, D. C. in 1970.\n", "# education = Per-capita education expenditures, dollars.\n", "# income = Per-capita income, dollars.\n", "# young = Proportion under 18, per 1000.\n", "# urban = Proportion urban, per 1000.\n", "\n", "expenditures = sm.datasets.get_rdataset(\"Anscombe\", \"car\")\n", "# assign a variable to the Pandas dataframe for this dataset\n", "expenditures_df = expenditures.data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Summary Statistics" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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educationincomeyoungurban
count 51.000000 51.000000 51.000000 51.000000
mean 196.313725 3225.294118 358.886275 664.509804
std 46.454490 560.025974 23.959975 151.344821
min 112.000000 2081.000000 326.200000 322.000000
25% 165.000000 2785.500000 342.050000 552.500000
50% 192.000000 3257.000000 354.100000 664.000000
75% 228.500000 3612.000000 369.150000 790.500000
max 372.000000 4425.000000 439.700000 1000.000000
\n", "
" ], "text/plain": [ " education income young urban\n", "count 51.000000 51.000000 51.000000 51.000000\n", "mean 196.313725 3225.294118 358.886275 664.509804\n", "std 46.454490 560.025974 23.959975 151.344821\n", "min 112.000000 2081.000000 326.200000 322.000000\n", "25% 165.000000 2785.500000 342.050000 552.500000\n", "50% 192.000000 3257.000000 354.100000 664.000000\n", "75% 228.500000 3612.000000 369.150000 790.500000\n", "max 372.000000 4425.000000 439.700000 1000.000000" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "expenditures_df.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot the Distribution of The Variables" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAeAAAAFlCAYAAAAzqTv+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAHYhJREFUeJzt3XucXVV99/FPAgSJCSHgxEuMXPSVX3lsFe8+VAt4x/ul\n", 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"markdown", "metadata": {}, "source": [ "# Check for Correlations" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXwAAAFkCAYAAAAjYoA8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3XuclHP/x/HXHNqtrd2KVqUjqq9DUuLuREQOEbqJnKlU\n", "IuccQgo5FCmVDkIKuXE73CXyCyHdVETp9KUjhc7b1p7a3ZnfHzO797S2w4zdvXb2ej8fj3nszlzX\n", "zHzmivf13c/1va7xBINBRESk4vM6XYCIiJQNBb6IiEso8EVEXEKBLyLiEgp8ERGXUOCLiLiE3+kC\n", "3M4YczLQDzgDaADkAcuAN4BJ1tp8B8s7IGPMF0BHoIa1Nj2G5/uA/sAr1trM8GNDgUeAbtbaGSVX\n", "7SHX1BhYW8yiIJAFbAA+BJ621u6MeF4AWGKtbRXj+1YHrrXWvhDL80UOhQLfIcYYD/Ao8DCQDXwM\n", "/AeoAZwPjAMuN8Z0sdZmO1bowf2dEzmmA5cD0yIemwsEgFV/p6gSsB54NeK+B6gGnA3cC1xkjDnV\n", "WpsRsc7f2RY/A5sABb6UGgW+cx4iFPbfAN2ttX8ULDDGJAAvA9cQCp0rnSiwDNSmSEhaa78EvnSm\n", 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{ "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }