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@bsmith89
Last active December 21, 2016 21:16
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Example analysis notebook and (*very*) rudimentary notes for a customized python-novice-gapminder. http://blog.byronjsmith.com/python-lesson-balance.html
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.colors import LogNorm\n",
"import numpy as np\n",
"\n",
"%matplotlib inline\n",
"\n",
"data = pd.read_csv('gapminder_all.csv', index_col='country')\n",
"data = data.drop(data.gdpPercap_1957.argmax())"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def scientific_notation(value, precision=1):\n",
" order = int(np.log10(value))\n",
" digits = round(value / 10**order, precision)\n",
" if precision == 0:\n",
" digits = int(digits)\n",
" return str(digits) + \"e\" + str(order)\n",
"\n",
"assert scientific_notation(26.69, 2) == '2.67e1'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10cf68668>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YOnXqkK5cq9EMJVqcaDQaTTcEBQWxePHiQUsvOjqaqIlRpKelszhhMccLjpN1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yANKAeGA59VxtIOiAC2XeF7inrg4+NDp1ad+PnwzwS1dHz5ysvLOZV1Cs9AT5RRoe0KckzYjwzB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\nvGWrS5OE6QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ce87c18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for continent in data.continent.unique():\n",
" d = data[data.continent == continent]\n",
" if continent == 'Africa':\n",
" color = 'blue'\n",
" elif continent == 'Asia':\n",
" color = 'green'\n",
" elif continent == 'Europe':\n",
" color = 'purple'\n",
" else:\n",
" color = 'grey'\n",
" plt.scatter(d.gdpPercap_1957, d.lifeExp_1957,\n",
" s=np.sqrt(d.pop_1957 / 1e4),\n",
" c=color, alpha=0.5)\n",
"\n",
"marks = []\n",
"labels = []\n",
"for pop in np.logspace(6, 8, num=3):\n",
" marks.append(plt.scatter([], [],\n",
" c='grey',\n",
" s=np.sqrt(pop / 1e4),\n",
" label=pop))\n",
" labels.append(scientific_notation(pop, precision=0))\n",
"\n",
"fit = sm.OLS.from_formula('lifeExp_1957 ~ np.log(gdpPercap_1957)', data=data).fit()\n",
"xx = np.linspace(300, 15000)\n",
"plt.plot(xx, fit.params[0] + fit.params[1] * np.log(xx))\n",
"\n",
"\n",
"plt.legend(marks, labels, loc='lower right', title='Population')\n",
"plt.xlabel('GDP/Pop')\n",
"plt.ylabel('Life expectancy')\n",
"plt.title('Relationship between wealth and life-expectancy in 1957')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<table class=\"simpletable\">\n",
"<caption>OLS Regression Results</caption>\n",
"<tr>\n",
" <th>Dep. Variable:</th> <td>lifeExp_1957</td> <th> R-squared: </th> <td> 0.616</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.613</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 222.6</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Date:</th> <td>Wed, 21 Dec 2016</td> <th> Prob (F-statistic):</th> <td>1.19e-30</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Time:</th> <td>12:10:45</td> <th> Log-Likelihood: </th> <td> -485.58</td>\n",
"</tr>\n",
"<tr>\n",
" <th>No. Observations:</th> <td> 141</td> <th> AIC: </th> <td> 975.2</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Residuals:</th> <td> 139</td> <th> BIC: </th> <td> 981.1</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Model:</th> <td> 1</td> <th> </th> <td> </td> \n",
"</tr>\n",
"<tr>\n",
" <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n",
"</tr>\n",
"<tr>\n",
" <th>Intercept</th> <td> -21.5287</td> <td> 4.934</td> <td> -4.363</td> <td> 0.000</td> <td> -31.284 -11.773</td>\n",
"</tr>\n",
"<tr>\n",
" <th>np.log(gdpPercap_1957)</th> <td> 9.4916</td> <td> 0.636</td> <td> 14.920</td> <td> 0.000</td> <td> 8.234 10.749</td>\n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <th>Omnibus:</th> <td> 7.022</td> <th> Durbin-Watson: </th> <td> 1.327</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Prob(Omnibus):</th> <td> 0.030</td> <th> Jarque-Bera (JB): </th> <td> 6.786</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Skew:</th> <td>-0.528</td> <th> Prob(JB): </th> <td> 0.0336</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Kurtosis:</th> <td> 3.195</td> <th> Cond. No. </th> <td> 60.5</td>\n",
"</tr>\n",
"</table>"
],
"text/plain": [
"<class 'statsmodels.iolib.summary.Summary'>\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: lifeExp_1957 R-squared: 0.616\n",
"Model: OLS Adj. R-squared: 0.613\n",
"Method: Least Squares F-statistic: 222.6\n",
"Date: Wed, 21 Dec 2016 Prob (F-statistic): 1.19e-30\n",
"Time: 12:10:45 Log-Likelihood: -485.58\n",
"No. Observations: 141 AIC: 975.2\n",
"Df Residuals: 139 BIC: 981.1\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==========================================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------------------\n",
"Intercept -21.5287 4.934 -4.363 0.000 -31.284 -11.773\n",
"np.log(gdpPercap_1957) 9.4916 0.636 14.920 0.000 8.234 10.749\n",
"==============================================================================\n",
"Omnibus: 7.022 Durbin-Watson: 1.327\n",
"Prob(Omnibus): 0.030 Jarque-Bera (JB): 6.786\n",
"Skew: -0.528 Prob(JB): 0.0336\n",
"Kurtosis: 3.195 Cond. No. 60.5\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit.summary()"
]
}
],
"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",
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}

Introduction

  • Demonstrate "complex" analysis notebook.

Pandas/Matplotlib

  • Load data
    • Talk about the optional parameter index_col=
  • Walk through the gapminder_all data.
  • Plot 1957 life-expectancy against GDP/pop
    • Note the column-as-attribute syntax
    • Note outlier
  • data.gdpPercap_1957.argmax()
  • data.drop(...)
  • Plot Africa data alone
    • Use data[data.continent == 'Africa'] syntax
    • Plot with a color
  • CHALLENGE: Select the subset of the data from the continent which contains the country with the maximum life-expectancy in 1967

For loops

  • Talk about wanting to repeat something for each continent.

  • For loop syntax

  • CHECK YOUR UNDERSTANDING:

    Fill in the blanks in the program below so that it prints “nit” (the reverse of the original character string “tin”).

    original = "tin"
    result = ____
    for char in original:
        result = ____
    print(result)
  • Plot only a subset of the continents (africa, asia, europe)

If statements

  • Talk about wanting to do something different depending on which continent we're considering.
  • If statement syntax (notice the 'block' syntax)
    • if
    • if, else
    • if, elif, else
  • Plot a different color for several of the continents.

Plot Aesthetics

  • Add x/y axis labels
  • Add a title
  • Size the points by np.sqrt(population) (so that the area is proportional)
  • Add a legend (dummy plotting)
  • Note the uglyness of the numbers

Defining Functions

  • Celsius to fahrenheit conversion
  • Kelvin to C conversion
  • Talk about function composition
  • What are the benefits of using functions?
  • Let's write a function to convert large numbers into scientific notation
  • Add an optional argument to set the precision
  • Add some documentation and show how help(scientific_notation) works

Defensive programming

  • How do we know if it's working? (unit testing, assert)

Statsmodels

  • Line of best fit
  • Statsmodels
  • formula
  • fitting the model and viewing the summary
  • Getting the coefficients out and using them
  • Plotting the line
  • CHALLENGE: extend this analysis and share with your neighbors
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