{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# statsmodels Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Key ideas:* Principal component analysis, world bank data, fertility\n", "\n", "In this notebook, we use principal components analysis (PCA) to analyze the time series of fertility rates in 192 countries, using data obtained from the World Bank. The main goal is to understand how the trends in fertility over time differ from country to country. This is a slightly atypical illustration of PCA because the data are time series. Methods such as functional PCA have been developed for this setting, but since the fertility data are very smooth, there is no real disadvantage to using standard PCA in this case." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm\n", "from statsmodels.multivariate.pca import PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data can be obtained from the [World Bank web site](http://data.worldbank.org/indicator/SP.DYN.TFRT.IN), but here we work with a slightly cleaned-up version of the data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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Country NameCountry CodeIndicator NameIndicator Code196019611962196319641965...2004200520062007200820092010201120122013
0ArubaABWFertility rate, total (births per woman)SP.DYN.TFRT.IN4.8204.6554.4714.2714.0593.842...1.7861.7691.7541.7391.7261.7131.7011.690NaNNaN
1AndorraANDFertility rate, total (births per woman)SP.DYN.TFRT.INNaNNaNNaNNaNNaNNaN...NaNNaN1.2401.1801.2501.1901.220NaNNaNNaN
2AfghanistanAFGFertility rate, total (births per woman)SP.DYN.TFRT.IN7.6717.6717.6717.6717.6717.671...7.1366.9306.7026.4566.1965.9285.6595.395NaNNaN
3AngolaAGOFertility rate, total (births per woman)SP.DYN.TFRT.IN7.3167.3547.3857.4107.4257.430...6.7046.6576.5986.5236.4346.3316.2186.099NaNNaN
4AlbaniaALBFertility rate, total (births per woman)SP.DYN.TFRT.IN6.1866.0765.9565.8335.7115.594...2.0041.9191.8491.7961.7611.7441.7411.748NaNNaN
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5 rows × 58 columns

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" ], "text/plain": [ " Country Name Country Code Indicator Name \\\n", "0 Aruba ABW Fertility rate, total (births per woman) \n", "1 Andorra AND Fertility rate, total (births per woman) \n", "2 Afghanistan AFG Fertility rate, total (births per woman) \n", "3 Angola AGO Fertility rate, total (births per woman) \n", "4 Albania ALB Fertility rate, total (births per woman) \n", "\n", " Indicator Code 1960 1961 1962 1963 1964 1965 ... 2004 \\\n", "0 SP.DYN.TFRT.IN 4.820 4.655 4.471 4.271 4.059 3.842 ... 1.786 \n", "1 SP.DYN.TFRT.IN NaN NaN NaN NaN NaN NaN ... NaN \n", "2 SP.DYN.TFRT.IN 7.671 7.671 7.671 7.671 7.671 7.671 ... 7.136 \n", "3 SP.DYN.TFRT.IN 7.316 7.354 7.385 7.410 7.425 7.430 ... 6.704 \n", "4 SP.DYN.TFRT.IN 6.186 6.076 5.956 5.833 5.711 5.594 ... 2.004 \n", "\n", " 2005 2006 2007 2008 2009 2010 2011 2012 2013 \n", "0 1.769 1.754 1.739 1.726 1.713 1.701 1.690 NaN NaN \n", "1 NaN 1.240 1.180 1.250 1.190 1.220 NaN NaN NaN \n", "2 6.930 6.702 6.456 6.196 5.928 5.659 5.395 NaN NaN \n", "3 6.657 6.598 6.523 6.434 6.331 6.218 6.099 NaN NaN \n", "4 1.919 1.849 1.796 1.761 1.744 1.741 1.748 NaN NaN \n", "\n", "[5 rows x 58 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = sm.datasets.fertility.load_pandas().data\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we construct a DataFrame that contains only the numerical fertility rate data and set the index to the country names. We also drop all the countries with any missing data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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1960196119621963196419651966196719681969...2002200320042005200620072008200920102011
Country Name
Aruba4.8204.6554.4714.2714.0593.8423.6253.4173.2263.054...1.8251.8051.7861.7691.7541.7391.7261.7131.7011.690
Afghanistan7.6717.6717.6717.6717.6717.6717.6717.6717.6717.671...7.4847.3217.1366.9306.7026.4566.1965.9285.6595.395
Angola7.3167.3547.3857.4107.4257.4307.4227.4037.3757.339...6.7786.7436.7046.6576.5986.5236.4346.3316.2186.099
Albania6.1866.0765.9565.8335.7115.5945.4835.3765.2685.160...2.1952.0972.0041.9191.8491.7961.7611.7441.7411.748
United Arab Emirates6.9286.9106.8936.8776.8616.8416.8166.7836.7386.679...2.4282.3292.2362.1492.0712.0041.9481.9031.8681.841
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5 rows × 52 columns

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" ], "text/plain": [ " 1960 1961 1962 1963 1964 1965 1966 1967 \\\n", "Country Name \n", "Aruba 4.820 4.655 4.471 4.271 4.059 3.842 3.625 3.417 \n", "Afghanistan 7.671 7.671 7.671 7.671 7.671 7.671 7.671 7.671 \n", "Angola 7.316 7.354 7.385 7.410 7.425 7.430 7.422 7.403 \n", "Albania 6.186 6.076 5.956 5.833 5.711 5.594 5.483 5.376 \n", "United Arab Emirates 6.928 6.910 6.893 6.877 6.861 6.841 6.816 6.783 \n", "\n", " 1968 1969 ... 2002 2003 2004 2005 2006 \\\n", "Country Name ... \n", "Aruba 3.226 3.054 ... 1.825 1.805 1.786 1.769 1.754 \n", "Afghanistan 7.671 7.671 ... 7.484 7.321 7.136 6.930 6.702 \n", "Angola 7.375 7.339 ... 6.778 6.743 6.704 6.657 6.598 \n", "Albania 5.268 5.160 ... 2.195 2.097 2.004 1.919 1.849 \n", "United Arab Emirates 6.738 6.679 ... 2.428 2.329 2.236 2.149 2.071 \n", "\n", " 2007 2008 2009 2010 2011 \n", "Country Name \n", "Aruba 1.739 1.726 1.713 1.701 1.690 \n", "Afghanistan 6.456 6.196 5.928 5.659 5.395 \n", "Angola 6.523 6.434 6.331 6.218 6.099 \n", "Albania 1.796 1.761 1.744 1.741 1.748 \n", "United Arab Emirates 2.004 1.948 1.903 1.868 1.841 \n", "\n", "[5 rows x 52 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "columns = list(map(str, range(1960, 2012)))\n", "data.set_index('Country Name', inplace=True)\n", "dta = data[columns]\n", "dta = dta.dropna()\n", "dta.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two ways to use PCA to analyze a rectangular matrix: we can treat the rows as the \"objects\" and the columns as the \"variables\", or vice-versa. Here we will treat the fertility measures as \"variables\" used to measure the countries as \"objects\". Thus the goal will be to reduce the yearly fertility rate values to a small number of fertility rate \"profiles\" or \"basis functions\" that capture most of the variation over time in the different countries." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mean trend is removed in PCA, but its worthwhile taking a look at it. It shows that fertility has dropped steadily over the time period covered in this dataset. Note that the mean is calculated using a country as the unit of analysis, ignoring population size. This is also true for the PC analysis conducted below. A more sophisticated analysis might weight the countries, say by population in 1980." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0, 51)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = dta.mean().plot(grid=False)\n", "ax.set_xlabel(\"Year\", size=17)\n", "ax.set_ylabel(\"Fertility rate\", size=17);\n", "ax.set_xlim(0, 51)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we perform the PCA:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pca_model = PCA(dta.T, standardize=False, demean=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the eigenvalues, we see that the first PC dominates, with perhaps a small amount of meaningful variation captured in the second and third PC's." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = pca_model.plot_scree(log_scale=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we will plot the PC factors. The dominant factor is monotonically increasing. Countries with a positive score on the first factor will increase faster (or decrease slower) compared to the mean shown above. Countries with a negative score on the first factor will decrease faster than the mean. The second factor is U-shaped with a positive peak at around 1985. Countries with a large positive score on the second factor will have lower than average fertilities at the beginning and end of the data range, but higher than average fertility in the middle of the range." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 4))\n", "lines = ax.plot(pca_model.factors.iloc[:,:3], lw=4, alpha=.6)\n", "ax.set_xticklabels(dta.columns.values[::10])\n", "ax.set_xlim(0, 51)\n", "ax.set_xlabel(\"Year\", size=17)\n", "fig.subplots_adjust(.1, .1, .85, .9)\n", "legend = fig.legend(lines, ['PC 1', 'PC 2', 'PC 3'], loc='center right')\n", "legend.draw_frame(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To better understand what is going on, we will plot the fertility trajectories for sets of countries with similar PC scores. The following convenience function produces such a plot." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "idx = pca_model.loadings.iloc[:,0].argsort()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we plot the five countries with the greatest scores on PC 1. These countries have a higher rate of fertility increase than the global mean (which is decreasing)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_plot(labels):\n", " fig, ax = plt.subplots(figsize=(9,5))\n", " ax = dta.loc[labels].T.plot(legend=False, grid=False, ax=ax)\n", " dta.mean().plot(ax=ax, grid=False, label='Mean')\n", " ax.set_xlim(0, 51);\n", " fig.subplots_adjust(.1, .1, .75, .9)\n", " ax.set_xlabel(\"Year\", size=17)\n", " ax.set_ylabel(\"Fertility\", size=17);\n", " legend = ax.legend(*ax.get_legend_handles_labels(), loc='center left', bbox_to_anchor=(1, .5))\n", " legend.draw_frame(False)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = dta.index[idx[-5:]]\n", "make_plot(labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the five countries with the greatest scores on factor 2. These are countries that reached peak fertility around 1980, later than much of the rest of the world, followed by a rapid decrease in fertility." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "idx = pca_model.loadings.iloc[:,1].argsort()\n", "make_plot(dta.index[idx[-5:]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we have the countries with the most negative scores on PC 2. These are the countries where the fertility rate declined much faster than the global mean during the 1960's and 1970's, then flattened out." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "make_plot(dta.index[idx[:5]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also look at a scatterplot of the first two principal component scores. We see that the variation among countries is fairly continuous, except perhaps that the two countries with highest scores for PC 2 are somewhat separated from the other points. These countries, Oman and Yemen, are unique in having a sharp spike in fertility around 1980. No other country has such a spike. In contrast, the countries with high scores on PC 1 (that have continuously increasing fertility), are part of a continuum of variation." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array(['Oman', 'Yemen, Rep.'], dtype=object)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "pca_model.loadings.plot.scatter(x='comp_00',y='comp_01', ax=ax)\n", "ax.set_xlabel(\"PC 1\", size=17)\n", "ax.set_ylabel(\"PC 2\", size=17)\n", "dta.index[pca_model.loadings.iloc[:, 1] > .2].values" ] } ], "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 0 }